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 = /2ck ,      (= 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]; Husain & Mann a0812 [quantum gravity effects near Planck scale].
@ 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; Carlip a0807-ln.
@ General references: Hayward PRD(94)gq/93, PRL(98)gq; Mukohyama gq/98-PhD; Jacobson & Parentani FP(03)gq [general horizons]; Hegyi a0903-GRF; Sivaram et al a0905-GRF.
@ 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 JPCS(07)gq/06; Mirza & Zamaninasab JHEP(07) [Reissner-Nordström black holes]; Tiwari a0801; Ruppeiner PRD(08)-a0802 [Kerr-Newman black holes].
@ 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 [Anti-de Sitter]; Carlip & Vaidya CQG(03)gq [charged black hole in cavity]; Jing & Pan PLB(08)-a0802 [Reissner-Nordström, and quasinormal modes]; Berti & Cardoso PRD(08)-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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