Cosmology & White Holes

Transcription

1 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

2 Extapolating CSM to the past Initial conditions Integable singulaities Black-white holes Astogenic univeses

3 cosmogenesis

4 Geomety of the ealy Univese stuctue of metic and stess-enegy enegy tensos 0 th ode Hubble flow a(t) 1 st ode stuctue S-mode (density petubations) T-mode (gavitationsl waves) V-mode (votex petubations) S(k) T(k) V(k) Deteministic ealy Univese

5 H γ H 0 10 H& H 61 0 th ode - algeba H M P a a a a (,0.4) 10 a H 1 0 M P 14Gy GeV ev 33 1 cm 1

6 Size, age & homogeneity In the beginning of the adiation-dominated dominated epoch physical size of the Univese was as lage as the fundamental scale. Such a big size can be explained by existence of peceding shot inflationay stage ( γ < 1 ) Big size has no elation to cosmogenesis but the young age and homogeneity do

7 st ode 1 st ode - oscillatos 1 st Gaussian petubations S oigin of matte stuctue (galaxies, clustes, voids ) S+T+V oigin of CMB stuctue (anisotopy and polaization) T/S < 0.1

8 Quantum-gavitational oigin of cosmological petubations ceation of massless degees of feedom fom vacuum in a non-stationay gavitational field Matte ceation (Gib, Staobinsky 1970s) Geneation of T-mode (Gishchuk 1974) Geneation of S-mode (V N L 1980)

9 Poblem of geneation of S & T modes of cosmological petubations in Fiedmann model is educed to quantum-mechanical mechanical poblem of elementay oscillatos ωβk in the extenal non-stationay field α(η) in the Minkowsky space-time (η,x(,x) S k L k d η α ( ) ' ω, L q q k k 3

10 q T - tansvese-taceless component of metic tenso α a, β 8π G 1 qs - supeposition of longitudinal gavitation potential and velocity potential α a γ, β 4π Gβ c S c

11 Elementay oscillatos α α q q, U, ω k α β k q ( ) 0 + ω U q U Adiabatic zone (fee oscillatos) <<ω U : ω q : ( ) 1 α β exp( i ) ω dη Paametic zone (feeze out) q const

12 Geneal esult independent of matte popeties H T T M P, S 4γ expectation (T/S < 0.1) H < GeV, γ < 0.0 Inflationay Big Bang stage (γ < 1)

13 Fomation of the Univese is ceation of Hubble flow v H, H a& a a& & > 0 anti-collapse o inflation Fomation of the stuctue is destuction of Hubble flow a& & < 0 collapse: halo, BH collapse:

14 Univese is deteministic, young and lage (inflation) Inflation does not answe the questions on initial conditions How do lage densities appea? How is cosmic expansion bon? What is the initial symmety? These ae the cosmogenesis questions

15 Cosmogenesis concepts Cosmological postulate (univese: hom.+isotopy) Ceation of univese fom nothing (false vacuum) Inflation foms Hubble flow (multivese: homog.) Etenal inflation (subplanckian cuvatues/dens.) Cosmological postulate was changed fo two othes Ulta-high cuvatues/densities Launch of expansion of matte Cosmogenesis questions ae not answeed

16 We assume Univese is not alone (Kopenikus pinciple) Cosmic expansion stats fom singulaity Singulaities fom inside black holes Ceation of effective matte in T-egions T Continuation of matte flow via singulaity Integable singulaities of BWHs

17 Ou answes to cosmogenesis questions * Ulta-high cuvatue is eached duing gavitational collapse inside black holes * Launch of expansion - collapse invesion Integable singulaity allows to continue matte flow though 0 WH souce * Cosmological outflow foms fom the effective matte ceated inside BWH Homogeneity in T-egions of BWHs

18 Integable singulaities ds (metics without singula points) d 1+ Φ dω 1+ Φ,Φ ( ) dt eal and finite functions of (t,) Φ m Gm ( t, ), ( t, ) 4π 0 T t t m ( t,0) 0 d Integable singulaity 0

19 Black-white hole m( ) M 4π p ( ) d 4π 0 0 p White hole ( < 0) is the extension of black hole ( > 0) unde condition Ф4πGp const at 0 d

20 Finite tidal foces in matte ˆ Φ R t t ˆ ˆˆ, R tˆθ ˆˆ tθˆ R tˆφ ˆˆ tφˆ Φ R ˆ θ ˆ φθφ ˆ ˆ Φ, R ˆθ ˆˆ θˆ R ˆ ˆˆ φ ˆ φ Φ D d ξ i R ˆ iˆ ˆˆ j ξ j GM 0 ξ i

21 Negative longitudinal pessue: p < 0 a model outside the sta: p - ε d ( ) ε d p p ( A) p 0 θ ( ) 0 p ( B) p 0 θ ( ) p θ( ) 0 1 0< << GM 0

22 A

23 Astophysical black-white hole along line t const: m 4π 0 M 4π ε( ) 0 d 4π state of effective matte in the sta: ε + 3p λ 0 fee motion in the bifucation point: a ~ t d p( ) M 0 p d

24 Cosmology inside a black hole B (asymptotically de-sitte univese)

25 ( ) ( ) τ λ ε τ τ τ τ τ coth, sinh 0: ) ( sinh ) ( cosh 1 H H H d H H dt H d ds Ω +

26 Ou concept of cosmogenesis New geneations of univeses fom in T-egions of BWHs in couse of collapses of stas & othe compact astophysical objects in the end of thei evolution in paents univeses

27 Conclusions

28 Extapolating CSM in the past we econstuct initial conditions * Ulta-high cuvatues & densities * Launch of matte expansion * Quasi-homogeneous matte flow

29 Answes to cosmogenesis questions * Ulta-high cuvatues & densities ae eached duing gavitational collapse * Cosmology is the WH aising as continuation of BH space-time (BWH) * Cosmological flow consists of matte ceated quantum-gav.in BWH T-egion T Homogeneity is a popety of BWH

30 BWHs ae ealised as geometies with integable singulaities (IS) * IS is a cusp (event in time) of zeo mass, finite gav.potential,, and unbound density A mashine poducing matte fom gavity * Finite tidal foces in matte geodetic flow * Geodetic continuation fom BH to WH

31 Astogenic cosmology (Hypevese) New geneations of univeses ae bon inside collapsing astophysical objects ending evolution in paents univeses