Origin
of Black-Hole Entropy| Origin
of Black-Hole Entropy |
Proposals Based on Black-Hole Microstates > s.a. black-hole
entropy [reviews].
@ Fluctuations: Gerlach PRD(76);
York PRD(83),
in(84); Pavón & Rubí PRD(88);
Frolov PRL(95);
Sorkin & Sudarsky CQG(99)gq;
Gour & Medved CQG(03)gq;
Requardt a0708.
@ Spacetime microstructure: Scardigli CQG(97)gq [foam];
Padmanabhan PRL(98)ht;
Garattini
Ent(00)gq [foam,
Schwarzschild-de Sitter], IJMPD(02)gq/00;
Bergamin & Grumiller IJMPD(06)gq-GRF.
@ Strings, M-theory: Horowitz & Strominger PRL(96)
[near extremal];
Strominger & Vafa PLB(96);
Horowitz & Marolf PRD(97)ht/96;
Maldacena et al JHEP(97)ht,
Horowitz & Roberts PRL(07)
[extremal,
in M-theory];
Lowe PRL(98);
Dabholkar IJMPD(06).
@ Horizon conformal field theory: Carlip gq/95,
gq/96-in, PRD(97)gq/96 [3D],
NPPS(97)gq,
PRL(99)ht/98,
CQG(99)gq, gq/99-in;
Park NPB(02)ht/01 [deformations];
Carlip CQG(05)ht/04 [stretched
horizon], gq/05-in,
IJTP(07)gq/06-in
[horizon constraints and symmetry algebra].
@ Horizon microstates: Sfetsos & Skenderis NPB(98)ht/97;
Brown PRD(98);
Epp & Mann MPLA(98)gq,
Epp gq/98/PRD
[tetrad approach]; Cvetic & Larsen PRL(99)
[rotating]; Soloviev PRD(00)ht/99;
Dou & Sorkin FP(03)gq,
Rideout & Zohren in(08)gq/06 [causal
links]; Das & Shankaranarayanan CQG(07)gq.
@ Loop quantum gravity:
Garay & Mena CQG(03),
Ghosh & Mitra PLB(05)gq/04 [and
Immirzi parameter]; Domagala & Lewandowski CQG(04)gq;
Meissner CQG(04)gq;
Swain IJMPD(05)gq-GRF;
Mitra a0705-in
[state counting]; Tamaki CQG(07)-a0707;
Jacobson CQG(07)-a0708 [and
renormalization]; Sahlmann PRD(07)-a0709;
Barbero & Villaseñor CQG(09)-a0810;
Agulló et al JCAP(09)-a0903 [conformal-field-theory
perspective], PRD(09)-a0906.
> Related topics: see
2D gravity; quantum
black holes; spin-foam models.
Other Origin and Approaches > s.a. gravitational
thermodynamics; horizons.
* Ways of forming the
black hole: S is the log of the number of quantum mechanically
distinct ways that the black hole could have been made, or information lost in
the creation
of
the black hole; This leads to an estimate of the quantum black hole level spacing.
* Entanglement entropy:
Black-hole entropy is semi-classical, in the sense that it comes from tracing
out
over
internal degrees of freedom of quantum fields in a classical geometry,
without
even backreaction – related to the "brick wall model" idea; Appears
to be proportional to A for fields in the ground state or in coherent/squeezed
states, not in excited states.
@ Ways of forming the black hole: Zurek & Thorne PRL(85); & Bekenstein; & Hawking;
Mukhanov FP(03);
Hsu & Reeb PLB(08)-a0706 [and
monster states].
@ Entanglement entropy: Sorkin in(83); Bombelli
et al PRD(86);
Srednicki
PRL(93);
Jacobson gq/94 [and
induced gravity]; Kabat NPB(95)ht [and
1-loop corrections]; Muller & Loustó PRD(95);
Ahmadi et al CJP(06)ht/05-in
[deviations
from area law]; Ansari NPB(08)gq/06 [in
lqg]; Emparan JHEP(06)
[holographic derivation]; Das & Shankaranarayanan JPCS(07)gq/06,
Das et al PRD(08)-a0705,
CJP(08)-a0708-in [power-law
corrections in
different states]; Brout IJMPD(09)-a0802,
Dvali & Solodukhin a0808 [independence
of number of species]; Das et al a0806-in
[rev]; Braunstein a0907.
@ And brick wall: Mukohyama et al PRD(97)gq;
Mukohyama gq/98-PhD, gq/99-in;
Jing & Yan PRD(99)gq [Kerr];
Garattini MPLA(04)
[and spacetime foam].
@ Other proposals: Yang MPLA(01)
[topological invariants]; Badiali JPA(06)gq/05 [spacetime
order]; Banerjee et al a0804 [covariant anomalies].
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send feedback and suggestions to bombelli at olemiss.edu – modified
31 oct 2009