Accretion disks around rotating black holes. (c)2017 van Putten 1
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1 Acction disks ond otting blck hols (c)07 vn Pttn
2 Contnts Bod X-spctm of ion-lins fom n inn cction disk Spcil Rltivity: Doppl shifts nd ltivistic bming Gnl Rltivity: Rdshift nd fm-dgging Inn ost Stbl Cicl Obits (ISCO) (c)07 vn Pttn
3 Ion mission lins Kα lin mission in CG (in low stt) obsvd by ASCA (c)07 vn Pttn
4 gntic fls (coon ctions) X-y lin-mission by floscnc B R (c)07 vn Pttn 4
5 Ion mission lins Ion-lins pp in ctiv ncli whn ts bsnt Qiscnt, non-intcting stt btwn blck hol nd cction disk Idl fo pobing gomty of blck hol spctims (c)07 vn Pttn 5
6 odling mission lins in inn cction disks A. Fbin, 005, t KFst flx R B Nwtonin ngy 4kV incld dshift clos to hoizon pls Doppl nd ltivistic bming 4kV nd Fm dgging (c)07 vn Pttn 6
7 odling mission lins in inn cction disks Tnk t l. 995 Iwsw tl. 996 B B R R Kα lin mission in CG (in low stt) obsvd by ASCA (c)07 vn Pttn 7
8 odling mission lins in inn cction disks Roy P. K 96 Killing vctos k b b b ( ) m ( ) b, t ϕ ρ cos θ, Δ ( ) Σ Δ 0 : ds dt H ρ Δ Σ ρ Δ d Σ ρ ρ cos dθ ds dt sin θ ( λ / ) ω g g ϕt ϕϕ Σ ρ Δsin ( dt sinθd ) ( )sin θdϕ ϕ ρ Δ ( dϕ ωdt) d ρ dθ Boy-Lindqist (967) Chndskh (98) θ sin λ sin λ Blck hol is sondd by diffntil fm-dgging vn Pttn(999) (c)07 vn Pttn 8
9 dcomposition Thon, Pic & cdonld (986) ds α dt h i i i ( dx ω dt)( dx ω dt) α ω ϕ ρ Σ Δ, sin λ h i Σ ρ Δ, ω ~ ρ ω ~ Σ sinθ ρ, g α h αρ sinθ tic t lg distncs: fm-dgging ds dt d dθ sin θdϕ 4 sin λ sin θdϕdt (c)07 vn Pttn 9
10 (c)07 vn Pttn 0, m p b b ϕ ϕ ϕ L p m L p m t t t & : consvd qntitis, Killing vctos Bdn t l.97,wld 984, Shpio & Tkolsky 98 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ) ( 4 0 ),, ( ) (, 4 V V V t t t Δ Δ Δ Δ ϕ ϕ ϕ Obitl motion otion in qtoil pln
11 (c)07 vn Pttn, m p b b ϕ ϕ ϕ L p m L p m t t t & : consvd qntitis, Killing vctos Bdn t l.97,wld 984, Shpio & Tkolsky 98 ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ) ( 4 0 ),, ( ) (, 4 V V V t t t Δ Δ Δ Δ ϕ ϕ ϕ Gvittionl potntil V ( ) V 0 V ( ) ( ) V 0 ( ) V ( ) ( ) 4 ( ) Δ bsob φ by in V
12 Cicl obits in (,,Ω) Bdn, Pss & Tkolsky 97 Shpio & Tkolsky 98 (, ) V V 0 ( ) ( ) Ω( ) ± ± ( ± ) ( ) ( ± ) ± ± (c)07 vn Pttn
13 (c)07 vn Pttn 0 cos 0 / / / / / 4 / ± ± ± N D D N λ π γ [ ] 0 ± γ All cicl obits hv positiv ngy Inn most photon obit (limit of zo stmss)
![Cicl obits (bond: <) / 4 N D [ ] ± mb](/docs-images/84/90637646/images/14-0.jpg "mb > γ mb ( sin λ sin λ) (c)07 vn Pttn")
14 Cicl obits (bond: <) / 4 N D [ ] ± mb mb > γ mb ( sin λ sin λ) (c)07 vn Pttn 4
15 Cicl obits pogd nd togd (c)07 vn Pttn 5
16 Cicl obits pogd nd togd Dict : 0 : 8 9 Rtogd : (c)07 vn Pttn 6
17 Inn most Stbl Cicl Obit (ISCO) Bdn t l.(97) Shpio & Tkolsky (974) (, ) V V 0 & V 0 V z (c)07 vn Pttn 7
18 ISCO t z / Bdn t l.(97) Shpio & Tkolsky (974) z Z Z Z ( [( )( )] Z Z Z [ ] ( ) ˆ ) ( ˆ) ˆ ( ) ˆ Z ISCO z ISCO z ( ) (c)07 vn Pttn 8
19 (c)07 vn Pttn & ), ( V V V 6) 0,, ( : / ), ( 6) 0, ( / < < z z l c l G z z N Bdn t l.(97) Shpio & Tkolsky (974) z z z > / tio t ISCO
20 / tio s (c)07 vn Pttn 0
21 Smmy min EX ~ 4 kv min EX < 4 kv min EX << 4 kv Disk ond Schwzschild blck hol (zo spin) ISCO 6 Disk ond K blck hol (>0) ISCO < 6 Disk ond nxtml K blck hol () ISCO ~ (c)07 vn Pttn
22 Co-collps spnov: fctois of stll mss blck hols
23 (A) Co-collps of mssiv st (B) Initil blck hol fomtion, contining Bondi cction (C) Fomtion of cction disk, spin-p by contining Bdn cction (hypcction ts) (D) Sb-citicl cction: spindown to slowly otting blck hol
24 (A-B) Initil blck hol fomtion ω Pompt collps to BH of sph of dis in th co of th pognito st, contining mss m() nd ngl momntm J() is llowd, povidd th K constint is stisfid: J() () J ~ ω, ~ ρ c minimm mss of n initilly xtml BH 4
25 (A-B) Initil blck hol fomtion, contining Bondi cction 5
26 (C-D) Spin-p followd by spin-down to slowly otting mnnt 6
27 Obsving spin-down? Light cv L(t) of BB dition fom stll nvlop Light cv Lγ(t) of nonthml gmm-y dition fom dissiption in lt-ltivistic t splminos spnov (fild bk-ot BH otflow) Noml long GRBs (sccssfl bk-ot BH otflow) 7
28 odl light cv of BH otflow 8
29 vn Pttn & Dll Vll, 07, NRAS, 464, 9 9
30 vn Pttn & Dll Vll, 07, NRAS, 464, 9 0
31 Obsving spin-down? mss-inhomognity in nonxisymmtic wv motion bot th ISCO Light cv LGW(t) in gvittionl wvs
32
33 Smmy Bith of blck hols in co-collps spnov poss n xtm stting fo pobing cvd spctim ond otting blck hols. Emission xpctd to b in V ntinos (cf. SN987A), lctomgntic dition (mnnt nvlop, gmm-ys fom shock bk-ot nd blck hol otflows) nd, possibly gvittionl dition. Dtcting gvittionl dition fom ths vnts pomiss niq - nd dfinit - viw on thi cntl ngins.
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