Black
Hole (Equilibrium) Thermodynamics| Black
Hole (Equilibrium) Thermodynamics |
In General > s.a. laws
of black hole thermodynamics; 2D gravity; horizons [including
local temperature].
* Idea: The laws of
black hole mechanics have a thermodynamical interpretation
if we identify the entropy as S 
A/4
and the temperature
TH = 
/2
ck , (= c3/8GMk
for a Schwarzschild black hole, or
(d–3)c/4krS in
d dimensions) ,
where is the classically
calculated surface gravity of the black hole; TH is
negligible for M MSun.
* Development: Black
hole thermodynamics started as a formal analogy between the
laws of black hole dynamics and those of thermodynamics; 1973, Real black hole
thermodynamics initially seemed like a crazy idea, because classically S = 
and T =
0, until Hawking discovered the concept of black hole radiation.
* Equilibrium: Only non-rotating,
neutral black holes can be in (unstable) equilibrium with thermal radiation.
@ Early work: Hawking PRL(71), in(73), & Hartle CMP(72); Bekenstein
PRD(73);
Bardeen et al CMP(73).
Quantum Black Holes > s.a. gravitational
thermodynamics; quantum black holes [entropy,
...].
@ General references: Kuchar PRD(94)gq;
Ashtekar & Krasnov gq/98-in;
Obregón & Ryan
MPLA(98)
[lP-size]; Wu & Cai gq/99 [quantum
laws]; Bekenstein
in(02)gq/01 [info];
Singh & Vaz GRG(04);
Moretti & Pinamonti gq/05;
Nozari & Sefiedgar PLB(06)gq [comparison
of approaches]; Nouicer PLB(07)-a0704 [corrections
from gup].
@ Special types: Kowalski-Glikman PLA(98)gq [asymptotically-AdS];
Vaz & Witten
PRD(01)gq [from
collapse]; Nozari & Mehdipour IJMPA(06)gq/05 [in
large
extra dimensions, from gup].
@ Related topics: Fursaev MPLA(95)
[and renormalization]; Ellis et al MPLA(97)gq/96 [decoherence];
Scharf NCB(98)gq/97 [microcanonical].
References > s.a. gravitational
thermodynamics and
specific types of black holes.
@ Reviews: Davies RPP(78);
Bekenstein PT(80); Fulling & Ruijsenaars
PRP(87);
Wald 94, gq/97-in,
CQG(99)gq,
LRR(01)gq/99;
Jacobson gq/98-in; Bekenstein SHPMP(01)gq/00;
Page NJP(05)ht/04;
Marolf ht/04-in
[and entropy bounds]; Ross ht/05-ln.
@ General: Hayward PRD(94)gq/93, PRL(98)gq;
Mukohyama gq/98-PhD;
Jacobson & Parentani FP(03)gq [general
horizons].
@ Statistical mechanics:
Casadio et al gq/97-MG8
[microcanonical]; Sorkin gq/97-in;
Huang PRD(00)ht [Schwarzschild
and Reissner-Nordström,
microcanonical].
@ Geometry on state space: Åman et al GRG(06)
[information geometry]; Álvarez et al PRD(08)-a0801 [Legendre-invariant
metric and phase transitions].
@ Approaches: Whiting & York PRL(88);
Nieuwenhuizen PRL(98)
[Tbh 
Tbath];
Belgiorno
PLA(03)gq/02 [Carathéodory's];
Kiefer CQG(04)
[and quasinormal modes];
Camblong
& Ordóñez PRD(05)ht/04 [near-horizon
conformal invariance]; Carlip PRL(07)gq [horizon
constraints and conformal field theory]; Quevedo GRG(08)-a0704-in
[geometrothermodynamics]; > s.a. modified
thermodynamics.
@ And information theory: Hosoya et al PRD(01);
Bekenstein & Mayo GRG(01)gq-GRF; > s.a. black
holes
and information.
@ And Ruppeiner
theory:
Åman et al gq/06-in;
Mirza
& Zamaninasab JHEP(07)
[Reissner-Nordström black holes]; Tiwari a0801;
Ruppeiner a0802.
@ Quantum-gravity-motivated: Amelino-Camelia et al CQG(06)gq/05 [gup
and modified dispersion]; Myung et al PLB(07)gq/06 [with
gup].
@ Thermal equilibrium: Gibbons & Perry PRL(76),
PRS(78);
Loustó IJMPD(97)gq/96 [heat
capacity, free energy].
@ Irreversibility: Zurek PRL(82), Page PRL(83) [of evaporation]; Hod PRD(99)gq [of
capture process].
Related Topics > s.a. black hole
entropy and radiation;
critical phenomena;
quasilocal general relativity; specific
heat.
@ Area as adiabatic invariant: Bekenstein gq/98-in, gq/98-in;
Mayo PRD(98)gq.
@ Phase transitions: Davies PRS(77)
[Kerr]; Sokolowski & Mazur JPA(80);
Lau PLA(94)
[Reissner-Nordström], PLA(94)
[Kerr-Newman]; Loustó GRG(95)
[and 2D description]; Cai JKPS(98)gq/99-in
[extremal limit]; Huang & Lau PLA(99)
[Kerr-Newman]; Stephens & Hu IJTP(01);
Surya et al PRL(01)ht [AdS];
Carlip & Vaidya
CQG(03)gq [charged
black hole in cavity]; Jing & Pan PLB(08)-a0802 [Reissner-Nordström,
and quasinormal modes]; Berti & Cardoso a0802 [and
quasinormal modes].
@ With quantum fields: York gq/93; Hochberg gq/95-in;
Zaslavskii PRD(98)gq/97 [extreme
limit].
@ Other topics: Candelas & Sciama PRL(77)
[fluctuations and dissipation]; Balbinot & Barletta CQG(89)
[back-reaction]; Garfinkle & Landsberg
GRG(89)
[work]; Brown et al PRL(91)
[and complex geometry]; Teitelboim
PRD(96)ht/95 [surface
fields]; Ruppeiner PRD(07)
[fluctuations].
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
19 jul 2008