Orbiting a naked singularity in large-g Brans-Dicke gravity. Bertrand Chauvineau UCA, OCA/Lagrange
|
|
|
- Abigail Jackson
- 6 years ago
- Views:
Transcription
1 Obiting a naed singulaity in lage-g Bans-Dice gavity Expected incidence on Gavitational Radiation in the EMRI case Betand Chauvineau UCA, OCA/Lagange Aconys: - ABD = Asyptotic Bans-Dice - BD = Bans-Dice - GR = Geneal Relativity - JNW = Janis-Neuan-Winicou - LSCO = Last Stable Cicula Obit - ST = Scala-tenso Betand CHAUVINEAU 07 June IAP GW colloqiu
2 Bans s Class I (vacuu BD) solution [] can be witten [] s & ds s dt 4 s whee s 4 3 s s 3 d d (ass) s = 0 ( = fo any finite ) vacuu GR (Schwazschild) ie standad non otating GR blac hole othewise the solution descibes a naed singulaity o a wohole spacetie [3] To what extent is a (naed) singulaity a poble? - classical gavity point of view: singulaity = beadown of physical pedictivity - quantu gavity point of view: the pesence of a singulaity is just a a that one entes a spacetie egion whee the non quantu desciption of spacetie can no longe be elevant in the naed case, the spacetie egion whee quantu gavity pocesses ae at wo is no longe hidden behind an hoizon Betand CHAUVINEAU 07 June IAP GW colloqiu
3 Expeiental constaints on ST gavity [4]: s 0 appoxiate Bans s Class I by a Janis-Newan-Winicou (JNW) etic [] ds dt 4 d d with 0, that solves GR filled by a assless scala (ie not GR vacuu) ( ) R ab a b with (spheical Bans's Class I) ln In geneal, fo lage, Tab filled BD gavity (and to soe extent fo a lage class of BD lie ST theoies) is asyptotically equivalent to GR, but filled by Tab + a assless scala [6] R ab 8 Tab Tgab a b with Daleb Asyptotic (Tab filled) Bans-Dice (ABD) 0 Betand CHAUVINEAU 07 June IAP GW colloqiu 3
4 R/ Schwazsch ild (GR) naedsingulaity / 3 R / STABLE cic obits egion (no longe wo holes (ABD) STABLE cic obits egion cicula obits??? Cicula obits popeties in JNW etic [][7] UNSTABLE cic obits egion No (fee) cic obits egion labda cicula obits:...) R ABD Last Cic Obit (GR: R) = 3) ( = «light» obit) - exist iff R > 3 - stable iff R > 6 R = aeal adius Last Stable Cic Obit(s) (GR: R) = 6) Liit fo inspials (Schw EMRI case) Schw hoizon (R = ): - NOT «punctual» - NOT a singulaity - singulaity is «hee»! ABD case (apat fo the Schw case =): - «punctual» (cicufeence = 0) - IS a singulaity not hidden beyond an hoizon!!! infinite edshift location Betand CHAUVINEAU 07 June IAP GW colloqiu 4
5 Obital fequency easued by a fa away obseve cobines - «local» obital fequency - gavitational dopple R 6 6. Hz R R... LSCO Sun - stability fo all (aeal) adius, until buping into the naed singulaity, with inceasing «local» fequency - tie «feezing», naed singulaity being and infinite edshift location??? inside eciculaisation??? Betand CHAUVINEAU 07 June IAP GW colloqiu
6 6 Betand CHAUVINEAU 07 June IAP GW colloqiu Obital fequency easued by a fa away obseve on a cicula obit of Bans s Class I ABD etic:, 3/ 3/ When appoaching the singulaity (deceasing adius gavitational adiation) : 3/ ~, R 0 fo / (fo cicula obits to exist when R 0)
7 Conclusions on the gavitational adiation eited by an object inspialing a (hypothetic ) BD-lie naed singulaity If () gavity is of ST (BD-lie) natue, and () BD-lie naed singulaities do exist, the (classically evaluated) gavitational fequency (twice the obital one) eitted by and inspialing object is expected to be not bound, unlie what happens in GR, fo soe values of the paaete. This possibility does not depend how high is, ie how close to GR is ST gavity in the sola syste, fo instance. Indeed, the divegence of ABD fo GR is of finite aplitude (both and - ae finite quantities in the displayed ABD Bans s solution). In the ST faewo, naed singulaities could be piodial objects (as piodial blac holes could exist in both GR and ST faewos). (Possibility of ceating naed singulaity by gavitational ST collapse?) Naed singulaities as hypothetic altenative souces of gavitational adiation, with vey specific popeties. Moe pecise popeties of the adiation in the Extee Mass Ratio case should be eachable by petubative calculations in the ABD faewo (in ode to both siplify the equations to solve and use what is nown fo to date expeients). Wo in pogess Betand CHAUVINEAU 07 June IAP GW colloqiu 7
8 Refeences: [] C. H. Bans, Phys. Rev., 94 (96) [] B. Chauvineau, axiv (07) [3] A. I. Janis, D. C. Robinson, J. Winicou, Phys. Rev. 86, 79 (969); A. G. Agnese, M. La Caea, Phys. Rev. D, 0 (99); K. K. Nandi, A. Isla, J. Evans, Phys. Rev. D, 497 (997) [4] C. M. Will, livingeviews.og/i-04-4 (04) [] A. I. Janis, E. T. Newan, J. Winicou, Phys. Rev. Lett. 0, 878 (968) [6] B. Chauvineau, Gen. Rel. Gav. 39, 97 (007) [7] A. N. Chowdhuy, M. Patil, D. Malafaina, P. S. Joshi, Phys. Rev. D 8, 0403 (0) Betand CHAUVINEAU 07 June IAP GW colloqiu 8
Curvature singularity
Cuvatue singulaity We wish to show that thee is a cuvatue singulaity at 0 of the Schwazschild solution. We cannot use eithe of the invaiantsr o R ab R ab since both the Ricci tenso and the Ricci scala
From Gravitational Collapse to Black Holes
Fom Gavitational Collapse to Black Holes T. Nguyen PHY 391 Independent Study Tem Pape Pof. S.G. Rajeev Univesity of Rocheste Decembe 0, 018 1 Intoduction The pupose of this independent study is to familiaize
Physics: Work & Energy Beyond Earth Guided Inquiry
Physics: Wok & Enegy Beyond Eath Guided Inquiy Elliptical Obits Keple s Fist Law states that all planets move in an elliptical path aound the Sun. This concept can be extended to celestial bodies beyond
The Concept of the Effective Mass Tensor in GR. Clocks and Rods
The Concept of the Effective Mass Tenso in GR Clocks and Rods Miosław J. Kubiak Zespół Szkół Technicznych, Gudziądz, Poland Abstact: In the pape [] we pesented the concept of the effective ass tenso (EMT)
OSCILLATIONS AND GRAVITATION
1. SIMPLE HARMONIC MOTION Simple hamonic motion is any motion that is equivalent to a single component of unifom cicula motion. In this situation the velocity is always geatest in the middle of the motion,
Escape Velocity. GMm ] B
![Escape Velocity. GMm ] B](/thumbs/84/90630003.jpg "Escape Velocity. GMm ] B")
1 PHY2048 Mach 31, 2006 Escape Velocity Newton s law of gavity: F G = Gm 1m 2 2, whee G = 667 10 11 N m 2 /kg 2 2 3 10 10 N m 2 /kg 2 is Newton s Gavitational Constant Useful facts: R E = 6 10 6 m M E
Vainshtein mechanism in second-order scalar-tensor theories
Vainshtein mechanism in second-ode scala-tenso theoies A. De Felice, R. Kase, S. Tsujikawa Phys. Rev. D 85 044059 (202)! Tokyo Univesity of Science Antonio De Felice, Ryotao Kase and Shinji Tsujikawa Motivation
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS LSN 10-: MOTION IN A GRAVITATIONAL FIELD Questions Fom Reading Activity? Gavity Waves? Essential Idea: Simila appoaches can be taken in analyzing electical
Gravitational Memory?
Gavitational Memoy? a Petubative Appoach T. Haada 1, Depatment of Physics, Waseda Univesity, Shinjuku, Tokyo 169-8555, Japan B.J. Ca 2,andC.A.Goyme 3 Astonomy Unit, Queen May and Westfield College, Univesity
Stars and Solar System constraints in extended gravity theories
Stas and Sola System constaints in extended gavity theoies Daniel Sunhede Univ of Jyväskylä / Helsinki Institute of Physics K Kainulainen & D Sunhede in pepaation Intoduction 6D bane-wold with lage exta
A thermodynamic degree of freedom solution to the galaxy cluster problem of MOND. Abstract
A themodynamic degee of feedom solution to the galaxy cluste poblem of MOND E.P.J. de Haas (Paul) Nijmegen, The Nethelands (Dated: Octobe 23, 2015) Abstact In this pape I discus the degee of feedom paamete
Earth and Moon orbital anomalies
Eath and Moon obital anomalies Si non è veo, è ben tovato Ll. Bel axiv:1402.0788v2 [g-qc] 18 Feb 2014 Febuay 19, 2014 Abstact A time-dependent gavitational constant o mass would coectly descibe the suspected
SIO 229 Gravity and Geomagnetism. Lecture 6. J 2 for Earth. J 2 in the solar system. A first look at the geoid.
SIO 229 Gavity and Geomagnetism Lectue 6. J 2 fo Eath. J 2 in the sola system. A fist look at the geoid. The Thee Big Themes of the Gavity Lectues 1.) An ellipsoidal otating Eath Refeence body (mass +
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 6- THE LAW OF GRAVITATION Essential Idea: The Newtonian idea of gavitational foce acting between two spheical bodies and the laws of mechanics
Lecture 23: Central Force Motion
Lectue 3: Cental Foce Motion Many of the foces we encounte in natue act between two paticles along the line connecting the Gavity, electicity, and the stong nuclea foce ae exaples These types of foces
d 2 x 0a d d =0. Relative to an arbitrary (accelerating frame) specified by x a = x a (x 0b ), the latter becomes: d 2 x a d 2 + a dx b dx c
Chapte 6 Geneal Relativity 6.1 Towads the Einstein equations Thee ae seveal ways of motivating the Einstein equations. The most natual is pehaps though consideations involving the Equivalence Pinciple.
Homework 7 Solutions
Homewok 7 olutions Phys 4 Octobe 3, 208. Let s talk about a space monkey. As the space monkey is oiginally obiting in a cicula obit and is massive, its tajectoy satisfies m mon 2 G m mon + L 2 2m mon 2
CHAPTER 5: Circular Motion; Gravitation
CHAPER 5: Cicula Motion; Gavitation Solution Guide to WebAssign Pobles 5.1 [1] (a) Find the centipetal acceleation fo Eq. 5-1.. a R v ( 1.5 s) 1.10 1.4 s (b) he net hoizontal foce is causing the centipetal
General Relativistic Eects on Pulsar Radiation. Dong-Hoon Kim Ewha Womans University
Geneal Relativistic Eects on Pulsa Radiation Dong-Hoon Kim Ewha Womans Univesity The 2nd LeCosPA Intenational Symposium NTU, Taiwan, Dec. 14, 2015 1 Outline 1. Electomagnetic adiation in cuved spacetime
Relativity and Astrophysics Lecture 38 Terry Herter. Rain fall source to distance observer Distance source to rain fall frame
Light and Tides Relativity and Astophysics Lectue 38 Tey Hete Outline etic in the Rain Fame Inside the hoizon One-way motion Rain Fall Light Cones Photon Exchange Rain all souce to distance obseve Distance
Problems with Mannheim s conformal gravity program
Poblems with Mannheim s confomal gavity pogam Abstact We show that Mannheim s confomal gavity pogam, whose potential has a tem popotional to 1/ and anothe tem popotional to, does not educe to Newtonian
Hawking Radiation. Alex Fontana
Hawking Radiation Alex Fontana In this epot the aim is to undestand the behaviou of a Schwazshild Black Hole in a context whee quantum field fluctuations ae taken into account. We ae going to see how to
= 4 3 π( m) 3 (5480 kg m 3 ) = kg.
CHAPTER 11 THE GRAVITATIONAL FIELD Newton s Law of Gavitation m 1 m A foce of attaction occus between two masses given by Newton s Law of Gavitation Inetial mass and gavitational mass Gavitational potential
ANTENNAS. Vector and Scalar Potentials. Maxwell's Equations. D = εe. For a linear, homogeneous, isotropic medium µ and ε are contant.
ANTNNAS Vecto and Scala Potentials Maxwell's quations jωb J + jωd D ρ B (M) (M) (M3) (M4) D ε B Fo a linea, homogeneous, isotopic medium and ε ae contant. Since B, thee exists a vecto A such that B A and
Dilatonic black holes in heterotic string theory: perturbations and stability
Dilatonic black holesin heteotic sting theoy:petubations and stability p. 1/2 Dilatonic black holes in heteotic sting theoy: petubations and stability Filipe Moua Cento de Matemática, Univesidade do Minho,
Adsorption and Desorption Kinetics for Diffusion Controlled Systems with a Strongly Concentration Dependent Diffusivity
The Open-Access Jounal fo the Basic Pinciples of Diffusion Theoy, Expeient and Application Adsoption and Desoption Kinetics fo Diffusion Contolled Systes with a Stongly Concentation Dependent Diffusivity
Orbital Angular Momentum Eigenfunctions
Obital Angula Moentu Eigenfunctions Michael Fowle 1/11/08 Intoduction In the last lectue we established that the opeatos J Jz have a coon set of eigenkets j J j = j( j+ 1 ) j Jz j = j whee j ae integes
Tidal forces. m r. m 1 m 2. x r 2. r 1
Tidal foces Befoe we look at fee waves on the eath, let s fist exaine one class of otion that is diectly foced: astonoic tides. Hee we will biefly conside soe of the tidal geneating foces fo -body systes.
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 10-1 DESCRIBING FIELDS Essential Idea: Electic chages and masses each influence the space aound them and that influence can be epesented
Problems with Mannheim s conformal gravity program
Poblems with Mannheim s confomal gavity pogam June 4, 18 Youngsub Yoon axiv:135.163v6 [g-qc] 7 Jul 13 Depatment of Physics and Astonomy Seoul National Univesity, Seoul 151-747, Koea Abstact We show that
SPH4U Unit 6.3 Gravitational Potential Energy Page 1 of 9
SPH4 nit 6.3 Gavitational Potential negy Page of Notes Physics ool box he gavitational potential enegy of a syste of two (spheical) asses is diectly popotional to the poduct of thei asses, and invesely
working pages for Paul Richards class notes; do not copy or circulate without permission from PGR 2004/11/3 10:50
woking pages fo Paul Richads class notes; do not copy o ciculate without pemission fom PGR 2004/11/3 10:50 CHAPTER7 Solid angle, 3D integals, Gauss s Theoem, and a Delta Function We define the solid angle,
A New Approach to General Relativity
Apeion, Vol. 14, No. 3, July 7 7 A New Appoach to Geneal Relativity Ali Rıza Şahin Gaziosmanpaşa, Istanbul Tukey E-mail: aizasahin@gmail.com Hee we pesent a new point of view fo geneal elativity and/o
Such objects are called black holes, and there is extremely strong circumstantial evidence that they exist.
Chapte 11 Spheical black holes One of the most spectacula consequences of geneal elativity is the pediction that gavitational fields can become so stong that they can effectively tap even light. Space
arxiv:gr-qc/ v1 1 Sep 2005
Radial fall of a test paticle onto an evapoating black hole Andeas Aste and Dik Tautmann Depatment fo Physics and Astonomy, Univesity of Basel, 456 Basel, Switzeland E-mail: andeas.aste@unibas.ch June
Introduction to Arrays
Intoduction to Aays Page 1 Intoduction to Aays The antennas we have studied so fa have vey low diectivity / gain. While this is good fo boadcast applications (whee we want unifom coveage), thee ae cases
Extra notes for circular motion: Circular motion : v keeps changing, maybe both speed and
Exta notes fo cicula motion: Cicula motion : v keeps changing, maybe both speed and diection ae changing. At least v diection is changing. Hence a 0. Acceleation NEEDED to stay on cicula obit: a cp v /,
10. Force is inversely proportional to distance between the centers squared. R 4 = F 16 E 11.
NSWRS - P Physics Multiple hoice Pactice Gavitation Solution nswe 1. m mv Obital speed is found fom setting which gives v whee M is the object being obited. Notice that satellite mass does not affect obital
The tunneling spectrum of Einsein Born-Infeld Black Hole. W. Ren2
Intenational Confeence on Engineeing Management Engineeing Education and Infomation Technology (EMEEIT 015) The tunneling spectum of Einsein Bon-Infeld Black Hole J Tang1 W Ren Y Han3 1 Aba teaches college
Stellar Structure and Evolution
Stella Stuctue and Evolution Theoetical Stella odels Conside each spheically symmetic shell of adius and thickness d. Basic equations of stella stuctue ae: 1 Hydostatic equilibium π dp dp d G π = G =.
On the velocity autocorrelation function of a Brownian particle
Co. Dept. Che., ulg. Acad. Sci. 4 (1991) 576-58 [axiv 15.76] On the velocity autocoelation of a ownian paticle Rouen Tsekov and oyan Radoev Depatent of Physical Cheisty, Univesity of Sofia, 1164 Sofia,
Mechanics Physics 151
Mechanics Physics 151 Lectue 5 Cental Foce Poblem (Chapte 3) What We Did Last Time Intoduced Hamilton s Pinciple Action integal is stationay fo the actual path Deived Lagange s Equations Used calculus
Adiabatic evolution of the constants of motion in resonance (I)
Adiabatic evolution of the constants of motion in esonance (I) BH Gavitational 重 力力波 waves Takahio Tanaka (YITP, Kyoto univesity) R. Fujita, S. Isoyama, H. Nakano, N. Sago PTEP 013 (013) 6, 063E01 e-pint:
Conformal transformations + Schwarzschild
Intoduction to Geneal Relativity Solutions of homewok assignments 5 Confomal tansfomations + Schwazschild 1. To pove the identity, let s conside the fom of the Chistoffel symbols in tems of the metic tenso
The Schwarzschild Solution
The Schwazschild Solution Johannes Schmude 1 Depatment of Physics Swansea Univesity, Swansea, SA2 8PP, United Kingdom Decembe 6, 2007 1 pyjs@swansea.ac.uk Intoduction We use the following conventions:
Transformation optics that mimics the system outside a Schwarzschild black hole
Tansfomation optics that mimics the system outside a Schwazschild black hole Huanyang Chen,, a Rong-Xin Miao,,3 and Miao Li,3, b School of Physical Science and Technology, Soochow Univesity, Suzhou, Jiangsu
Objective Notes Summary
Objective Notes Summay An object moving in unifom cicula motion has constant speed but not constant velocity because the diection is changing. The velocity vecto in tangent to the cicle, the acceleation
Hawking Radiation Seminar Talk
Hawking Radiation Semina Talk Julius Eckhad, Max Lautsch June 9, 205 In this talk on Hawking Radiation we will fist motivate why we have to intoduce the counteintuitive concept of a black hole tempeatue
Physics 235 Chapter 5. Chapter 5 Gravitation
Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus
THICK DOMAIN WALLS WITH BULK VISCOSITY IN EINSTEIN ROSEN CYLINDRICAL SYMMETRIC SPACE-TIME
AIJREAS VOLUME 3, ISSUE (08, FEB) (ISSN-455-6300) ONLINE THICK DOMAIN WALLS WITH BULK VISCOSITY IN EINSTEIN ROSEN CYLINDRICAL SYMMETRIC SPACE-TIME PURUSHOTTAM D. SHOBHANE Rajiv Ghi College of Engineeing
Pendulum in Orbit. Kirk T. McDonald Joseph Henry Laboratories, Princeton University, Princeton, NJ (December 1, 2017)
1 Poblem Pendulum in Obit Kik T. McDonald Joseph Heny Laboatoies, Pinceton Univesity, Pinceton, NJ 08544 (Decembe 1, 2017) Discuss the fequency of small oscillations of a simple pendulum in obit, say,
Lecture 24 Stability of Molecular Clouds
Lectue 4 Stability of Molecula Clouds 1. Stability of Cloud Coes. Collapse and Fagmentation of Clouds 3. Applying the iial Theoem Refeences Oigins of Stas & Planetay Systems eds. Lada & Kylafis http://cfa-www.havad.edu/cete
Section 11. Timescales Radiation transport in stars
Section 11 Timescales 11.1 Radiation tanspot in stas Deep inside stas the adiation eld is vey close to black body. Fo a black-body distibution the photon numbe density at tempeatue T is given by n = 2
B. Spherical Wave Propagation
11/8/007 Spheical Wave Popagation notes 1/1 B. Spheical Wave Popagation Evey antenna launches a spheical wave, thus its powe density educes as a function of 1, whee is the distance fom the antenna. We
Gravitation. Chapter 12. PowerPoint Lectures for University Physics, Twelfth Edition Hugh D. Young and Roger A. Freedman. Lectures by James Pazun
Chapte 12 Gavitation PowePoint Lectues fo Univesity Physics, Twelfth Edition Hugh D. Young and Roge A. Feedman Lectues by James Pazun Modified by P. Lam 5_31_2012 Goals fo Chapte 12 To study Newton s Law
Today in Astronomy 142: the Milky Way s disk
Today in Astonomy 14: the Milky Way s disk Moe on stas as a gas: stella elaxation time, equilibium Diffeential otation of the stas in the disk The local standad of est Rotation cuves and the distibution
IX Black Hole Workshop Guimarães December 2016
IX Black Hole Wokshop Guimaães 19- Decembe 16 Aspects of Gavity's Rainbow in Black Hole Entopy Remo Gaattini Univesità ità di Begamo I.N.F.N. - Sezione di Milano Black Hole Rainbow [J. D. Bekenstein, hys.
Fresnel Diffraction. monchromatic light source
Fesnel Diffaction Equipment Helium-Neon lase (632.8 nm) on 2 axis tanslation stage, Concave lens (focal length 3.80 cm) mounted on slide holde, iis mounted on slide holde, m optical bench, micoscope slide
1/30/17 Lecture 6 outline
1/30/17 Lectue 6 outline Recall G µν R µν 1 2 Rg µν = 8πGT µν ; so R µν = 8πG(T µν 1 2 Tg µν). (1) g µν = η µν +h µν G (1) µν (h) = 1 2 2 hµν + 1 2 ρ µ hνρ + 1 2 ρ ν hµρ 1 2 η µν ρ σ hρσ = 8πT µν. Choose
r ˆr F = Section 2: Newton s Law of Gravitation m 2 m 1 Consider two masses and, separated by distance Gravitational force on due to is
Section : Newton s Law of Gavitation In 1686 Isaac Newton published his Univesal Law of Gavitation. This explained avity as a foce of attaction between all atte in the Univese, causin e.. apples to fall
DOING PHYSICS WITH MATLAB COMPUTATIONAL OPTICS
DOING PHYIC WITH MTLB COMPUTTIONL OPTIC FOUNDTION OF CLR DIFFRCTION THEORY Ian Coope chool of Physics, Univesity of ydney ian.coope@sydney.edu.au DOWNLOD DIRECTORY FOR MTLB CRIPT View document: Numeical
Abelian Symmetry Breaking and Modified Gravity
Abelian Symmety Beaking and Modified Gavity Javie Chagoya Collaboations with Gustavo Niz and Gianmassimo Tasinato 1 Outline Context Abelian Galileon-Higgs votices Black holes in genealised Poca GR & CDM
4. Kruskal Coordinates and Penrose Diagrams.
4. Kuskal Coodinates and Penose Diagams. 4.1. Removing a coodinate ingulaity at the chwazschild Radius. The chwazschild metic has a singulaity at = whee g 0 and g. Howeve, 00 we have aleady seen that a
The Spiral Structure of NGC 3198.
The Spial Stuctue of NGC 3198. Buce Rout Novembe 8, 2009 Abstact Obsevations of NGC 3198 show a discepancy between the otational velocity and its appaent geomety which defies the pedicted behaviou of Kepleian
arxiv: v1 [hep-th] 9 Jan 2014
![arxiv: v1 [hep-th] 9 Jan 2014](/thumbs/71/65974229.jpg "arxiv: v1 [hep-th] 9 Jan 2014")
Univesal quasinomal modes of lage D black holes axiv:1401.1957v1 [hep-th] 9 Jan 2014 Robeto Empaan a,b, Kentao Tanabe b a Institució Catalana de Receca i Estudis Avançats (ICREA) Passeig Lluís Companys
Projection Gravitation, a Projection Force from 5-dimensional Space-time into 4-dimensional Space-time
Intenational Jounal of Physics, 17, Vol. 5, No. 5, 181-196 Available online at http://pubs.sciepub.com/ijp/5/5/6 Science and ducation Publishing DOI:1.1691/ijp-5-5-6 Pojection Gavitation, a Pojection Foce
The Schwartzchild Geometry
UNIVERSITY OF ROCHESTER The Schwatzchild Geomety Byon Osteweil Decembe 21, 2018 1 INTRODUCTION In ou study of geneal elativity, we ae inteested in the geomety of cuved spacetime in cetain special cases
Multipole Radiation. February 29, The electromagnetic field of an isolated, oscillating source
Multipole Radiation Febuay 29, 26 The electomagnetic field of an isolated, oscillating souce Conside a localized, oscillating souce, located in othewise empty space. We know that the solution fo the vecto
Spherical Solutions due to the Exterior Geometry of a Charged Weyl Black Hole
Spheical Solutions due to the Exteio Geomety of a Chaged Weyl Black Hole Fain Payandeh 1, Mohsen Fathi Novembe 7, 018 axiv:10.415v [g-qc] 10 Oct 01 1 Depatment of Physics, Payame Noo Univesity, PO BOX
Quantum Mechanics and General Relativity: Creation Creativity. Youssef Al-Youssef, 2 Rama Khoulandi. University of Aleppo, Aleppo, Syria
Quantum Mechanics and Geneal Relativity: Ceation Ceativity Youssef Al-Youssef, Rama Khoulandi Univesity of Aleppo, Aleppo, Syia Abstact This aticle is concened with a new concept of quantum mechanics theoy
Reflected iron line from a source above a Kerr black hole accretion disc
Mon. Not. R. Aston. Soc. 32, 65±64 (2) Reflected ion line fom a souce above a Ke black hole accetioisc Y. Dabowski w and A. N. Lasenby Astophysics Goup, Cavendish Laboatoy, Madingley Road, Cambidge CB3
Conditions for the naked singularity formation in generalized Vaidya spacetime
Jounal of Physics: Confeence Seies PAPER OPEN ACCESS Conditions fo the naked singulaity fomation in genealized Vaidya spacetime To cite this aticle: V D Vetogadov 2016 J. Phys.: Conf. Se. 769 012013 View
Cosmology & White Holes
Semina 1 Mach 013, Vitoia,, Bazil Cosmology & White Holes V. N. Lukash co: E. V. Mikheeva,, V. N. Stokov Asto Space Cente of Lebedev Physics Institute LMS, Phys. Uspechi (#,8) 01; LS, IJMPA 013 Extapolating
7 The Schwarzschild Solution and Black Holes
Decembe 1997 Lectue Notes on Geneal Relativity Sean M. Caoll 7 The Schwazschild Solution and Black Holes We now move fom the domain of the weak-field limit to solutions ofthefullnonlinea Einstein s equations.
PROBLEM SET #3A. A = Ω 2r 2 2 Ω 1r 2 1 r2 2 r2 1
PROBLEM SET #3A AST242 Figue 1. Two concentic co-axial cylindes each otating at a diffeent angula otation ate. A viscous fluid lies between the two cylindes. 1. Couette Flow A viscous fluid lies in the
Physics 161 Fall 2011 Extra Credit 2 Investigating Black Holes - Solutions The Following is Worth 50 Points!!!
Physics 161 Fall 011 Exta Cedit Investigating Black Holes - olutions The Following is Woth 50 Points!!! This exta cedit assignment will investigate vaious popeties of black holes that we didn t have time
Black Holes. Tom Charnock
Black Holes Tom Chanock Contents 1 Why Study Black Holes? 2 2 Relativity 4 2.1 The Metic............................................ 4 2.1.1 Chistoffel Connections................................. 4 2.2
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department. Problem Set 9
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Depatment Physics 8.033 Novembe 17, 2006 Poblem Set 9 Due: Decembe 8, at 4:00PM. Please deposit the poblem set in the appopiate 8.033 bin, labeled with name
Possible existence of wormholes in the galactic halo region
Eu. Phys. J. C manuscipt No. (will be inseted by the edito) Possible existence of womholes in the galactic halo egion Faook Rahaman a,, P.K.F. Kuhfittig b,, Saibal Ray c,3, Nasaul Islam d,4. Depatment
General Relativistic Orbital Effects in Compact. Binary Stars (Solution by the Method
Wold Jounal of Mechanics, 17, 7, 6-69 http://www.scip.og/jounal/wj ISSN Online: 16-5 ISSN Pint: 16-49X Geneal Relativistic Obital Effects in Copact Binay Stas (Solution by the Method of Celestial Mechanics)
Practice. Understanding Concepts. Answers J 2. (a) J (b) 2% m/s. Gravitation and Celestial Mechanics 287
Pactice Undestanding Concepts 1. Detemine the gavitational potential enegy of the Eath Moon system, given that the aveage distance between thei centes is 3.84 10 5 km, and the mass of the Moon is 0.0123
AST2000 Lecture Notes
AST000 Lectue Notes Pat C Geneal Relativity: Basic pinciples Questions to ponde befoe the lectue 1. What is a black hole? how would you define it?). If you, situated in a safe place fa away fom the black
General momentum equation
PY4A4 Senio Sophiste Physics of the Intestella and Integalactic Medium Lectue 11: Collapsing Clouds D Gaham M. Hape School of Physics, TCD Geneal momentum equation Du u P Dt uu t 1 B 4 B 1 B 8 Lagangian
Does a black hole rotate in Chern-Simons modified gravity?
PHYSICAL REVIEW D 76, 024009 (2007) Does a black hole otate in Chen-Simons modified gavity? Kohkichi Konno,, * Toyoki Matsuyama, 2 and Satoshi Tanda Depatment of Applied Physics, Hokkaido Univesity, Sappoo
HW Solutions # MIT - Prof. Please study example 12.5 "from the earth to the moon". 2GmA v esc
HW Solutions # 11-8.01 MIT - Pof. Kowalski Univesal Gavity. 1) 12.23 Escaping Fom Asteoid Please study example 12.5 "fom the eath to the moon". a) The escape velocity deived in the example (fom enegy consevation)
PHYSICS OF ASTROPHSYICS - Energy
PHYSICS OF ASTOPHSYICS - Enegy http://apod.nasa.gov/apod/ ENEGY esult of a foce acting though a distance. units = eg = dyne c i.e., foce x distance = g c /sec Two types: kinetic - enegy due to otion potential
ANISOTROPIC BIANCHI TYPE-III COSMOLOGICAL MODELS IN GENERAL RELATIVITY
Intenational Jounal of Physics and Mathematical Sciences ISSN: 77- (Online) 0 Vol. () Octobe-Decembe, pp. -/Goyal et al. ANISOROPIC BIANCHI YPE-III COSMOLOGICAL MODELS IN GENERAL RELAIVIY Sumeet Goyal,
Introduction to General Relativity 2
Intoduction to Geneal Relativity 2 Geneal Relativity Diffeential geomety Paallel tanspot How to compute metic? Deviation of geodesics Einstein equations Consequences Tests of Geneal Relativity Sola system
arxiv: v4 [gr-qc] 19 Aug 2013
![arxiv: v4 [gr-qc] 19 Aug 2013](/thumbs/93/111797829.jpg "arxiv: v4 [gr-qc] 19 Aug 2013")
fr,t) Cosological Models in Phase Space Haid Shabani, and Mehdad Fahoudi, Depatent of Physics, Shahid Beheshti Univesity, G.C., Evin, Tehan, 9839, Ian Dated: August 8, 3) axiv:36.364v4 [g-qc] 9 Aug 3 We
Homework # 3 Solution Key
PHYSICS 631: Geneal Relativity Homewok # 3 Solution Key 1. You e on you hono not to do this one by hand. I ealize you can use a compute o simply look it up. Please don t. In a flat space, the metic in
Uniform Circular Motion
Unifom Cicula Motion constant speed Pick a point in the objects motion... What diection is the velocity? HINT Think about what diection the object would tavel if the sting wee cut Unifom Cicula Motion
In many engineering and other applications, the. variable) will often depend on several other quantities (independent variables).
II PARTIAL DIFFERENTIATION FUNCTIONS OF SEVERAL VARIABLES In man engineeing and othe applications, the behaviou o a cetain quantit dependent vaiable will oten depend on seveal othe quantities independent
Chapter 3 Optical Systems with Annular Pupils
Chapte 3 Optical Systems with Annula Pupils 3 INTRODUCTION In this chapte, we discuss the imaging popeties of a system with an annula pupil in a manne simila to those fo a system with a cicula pupil The
Contact impedance of grounded and capacitive electrodes
Abstact Contact impedance of gounded and capacitive electodes Andeas Hödt Institut fü Geophysik und extateestische Physik, TU Baunschweig The contact impedance of electodes detemines how much cuent can
The main paradox of KAM-theory for restricted three-body problem (R3BP, celestial mechanics)
The main paadox of KAM-theoy fo esticted thee-body poblem (R3BP celestial mechanics) Segey V. Eshkov Institute fo Time Natue Exploations M.V. Lomonosov's Moscow State Univesity Leninskie goy 1-1 Moscow
Force of gravity and its potential function
F. W. Phs0 E:\Ecel files\ch gavitational foce and potential.doc page of 6 0/0/005 8:9 PM Last pinted 0/0/005 8:9:00 PM Foce of gavit and its potential function (.) Let us calculate the potential function
17.1 Electric Potential Energy. Equipotential Lines. PE = energy associated with an arrangement of objects that exert forces on each other
Electic Potential Enegy, PE Units: Joules Electic Potential, Units: olts 17.1 Electic Potential Enegy Electic foce is a consevative foce and so we can assign an electic potential enegy (PE) to the system
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department. Problem Set 10 Solutions. r s
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Depatment Physics 8.033 Decembe 5, 003 Poblem Set 10 Solutions Poblem 1 M s y x test paticle The figue above depicts the geomety of the poblem. The position
Lecture 2 Date:
Lectue 2 Date: 5.1.217 Definition of Some TL Paametes Examples of Tansmission Lines Tansmission Lines (contd.) Fo a lossless tansmission line the second ode diffeential equation fo phasos ae: LC 2 d I
Strong Gravitational Lensing in a Brane-Wolrd Black Hole
Stong Gavitational Lensing in a Bane-Wold Black Hole Guoping Li * Biao Cao ** Zhongwen Feng Xiaotao Zu School of Physical Electonics, Univesity of Electonic Science and Technology of china, Chengdu, Sichuan