Statistical Mechanics > s.a. horizons; phenomenology
of gravity;
statistical mechanics.
@ N-body systems: Padmanabhan PRP(90);
Zaslavskii PLA(91);
Hut ap/97-in;
El-Zant PRE(98)ap [simulations];
de Vega et
al CSF(99)ap/98, & Sánchez
PLB(00)ht/99,
NPB(02)ap/01,
NPB(02)ap/01;
Morikawa G&C(00);
Cipriani & Pettini
ASS(03)ap/01 [chaos
and statistical mechanics]; Katz FP(03)ap/02 [intro];
Laliena NPB(03)ap,
NPB(05)ap/03;
Fischer ap/03/A&A
[thermal equilibrium]; Velázquez & Guzmán
ap/03 [thermodynamic
limit].
@ Black holes: Braden et al PRD(90);
Harms & Leblanc PRD(92), PRD(93);
Krasnov GRG(98)gq/96 [quantum];
Gour PRD(00)gq/99;
Kan et al PRD(01)gq [BPS
black holes];
Chevalier et al PhyA(07); > s.a. black
hole thermodynamics and specific black holes.
@ Radiation in cavity: Katz & Okuta CQG(95),
Parentani et al CQG(95)
[with black hole]; Padmanabhan & Singh CQG(03)
[equilibrium].
@ Cluster expansion method: Iguchi et al PLA(99)ap/98.
@ Quantum: Major & Setter CQG(01)gq [spin networks].
@ Related topics: Kholodenko JGP(01)
[2+1 gravity]; Aros PRD(06)
[first-order gravity,
boundary conditions].
Thermodynamics > s.a. laws of
black hole dynamics; quasilocal
general relativity; thermodynamics and modified
thermodynamics.
* Stability: Systems of infinite spatial extent at fixed temperature
are thermodynamically unstable.
* Remark: Results are independent
of a change in the canonical momenta by addition
of boundary terms in the action.
@ And Einstein's equation: Jacobson PRL(95)gq [Einstein
equation
as equation of state]; Oppenheim PRD(02)gq/01 [V vs A-scaling], gq/01;
Padmanabhan MPLA(02)ht, ASS(03)gq/02;
Padmanabhan & Patel ht/03, gq/03 [semiclassical
gravity and horizons]; Eling et al PRL(06)gq [non-equilibrium];
Mäkelä & Peltola gq/06;
Kothawala et al PLB(07)gq;
Padmanabhan & Paranjape PRD(07)gq [from
entropy of null surfaces]; Öttinger PhyA(08) [non-equilibrium thermodynamics].
@ Other theories: Paranjape et al PRD(06)ht/06 [Lanczos-Lovelock
gravity]; Akbar & Cai PLB(07)gq/06,
Elizalde & Silva a0804
[f(R)
gravity].
@ In cosmology: Cai & Kim JHEP(05)ht [first
law in FRW models and Friedmann equation]; Izquierdo & Pavón PLB(06)
[black holes and phantom-dominated universes]; Lima et al a0708 [and
particle creation]; > s.a. friedmann
equation.
@ Related topics: Chardin in(02)-a0804 [and
C, P, T symmetries]; > s.a. action for general
relativity.
Entropy > s.a. black hole
entropy and thermodynamics;
de sitter; decoherence;
lanczos potential; particle
effects;
spacetime foam.
* Goals: (i) Give a thermodynamical
meaning to particle creation in gravitational fields; (ii) Generalize the second
law to cosmology; (iii) Define
an entropy for
the gravitational field (Penrose: square of the Weyl tensor).
* Hints: One can define
an entropy in ways that seem to be related to a gravitational arrow of time,
e.g., one related to particle production,
by using the Weyl tensor, or one related to inhomogeneity and clustering.
@ General references: Tolman PR(30);
Davies 74, in(81); Davies et al PRD(86);
Marolf et al PRD(04)ht/03 [observer
dependence].
@ Weyl tensor: Penrose in(79); Smolin GRG(85)
[matter to gravitational radiation]; Husain PRD(88);
Pelavas & Lake PRD(00)gq/98 [self-similar
spacetimes]; Grøn & Hervik gq/02;
Amarzguioui & Grøn PRD(05)gq/04 [collapsing
matter]; Rudjord et al PS(08)
[and black holes].
@ And particle creation: Hu PLA(83), & Kandrup PRD(87);
Kandrup
IJTP(88);
Prigogine et al PNAS(88); Nesteruk pr(91); Rau ht/94.
@ And cosmology: Frautschi Sci(82)aug;
Gibbons NPB(87), NPB(88);
Prigogine IJTP(89);
Prigogine et al GRG(89);
Brandenberger et al PRD(93)
[density perturbations in inflation];
Barrow NA(99)ap;
Grøn & Hervik CQG(01)gq/00 [Bianchi
I]; Obregón
et al PRD(03)ht [from
Cardy-Verlinde formula]; Pelavas & Coley IJTP(06)gq/04 [Szekeres
& Bianchi VIh]; Nielsen & Ninomiya
IJMPA(06)ht [and
periodic universe]; Hernández & Quevedo GRG(07)gq [Bianchi
I and V, and Cardy-Verlinde]; > s.a. acceleration.
@ And quantum gravity: Kandrup CQG(88)
[second law and quantum cosmology]; Garattini PLB(99)ht [spacetime
foam]; Balasubramanian et al JHEP(07)-a0705 [AdS-cft
and half-BPS universes]; Livine & Terno NPB(08)-a0706 [lqg,
bulk entropy and holographic regime]; Fursaev PRD(08)
[entanglement entropy]; Kothawala et al a0807 [quantization, various gravity
theories]; > s.a. entropy
in quantum theory.
@ Phase space approach: Rothman & Anninos PLA(97), PRD(97)gq/96;
Rothman
GRG(00)gq/99.
@ Noether approach: Fatibene et al AP(00)gq/99 [and Taub-Bolt]; Garfinkle & Mann
CQG(00)gq [and Taub-Bolt].
@ Upper bound: Bousso JHEP(99)ht [conjecture];
Flanagan et al PRD(00)ht/99;
Low CQG(02)gq/01;
Frampton & Kephart JCAP(08)-a0711 [and
dark matter].
@ Covariant, geometrical meaning: Hawking & Hunter PRD(99)ht/98;
Lowe
JHEP(99)ht;
Mäkelä gq/05 [arbitrary
spacelike 2-surface].
@ And topology: Liberati & Pollifrone NPPS(97)ht/95 [manifolds
with boundary, mathematical].
@ And boundaries / horizons: Krasnov PRD(97)gq/96 [lqg];
Carlip CQG(99)gq;
Brustein PRL(01)ht/00 [causal
horizon in FRW models]; Mäkelä & Peltola gq/02 [Rindler];
Padmanabhan CQG(02)gq,
GRG(02)gq [spherical
symmetry], CQG(04)gq/03 [and
density of states]; Chatterjee & Majumdar
Pra(04)gq-in;
Mäkelä & Peltola gq/04 [spacelike
2-surfaces].
References > s.a. [general
relativity]; quantum field theory in curved
spacetime [correlation
dynamics]; statistical
mechanics.
@ General: Padmanabhan PRD(99)ht/98 [from
general properties of black holes]; Rovelli CQG(93),
CQG(93);
Wald CQG(99)gq [rev];
Mann FP(03)gq/02 ["gravitational
heat"]; Padmanabhan a0706-in
[gravity as emergent, conceptual].
@ Time and thermodynamics: Connes & Rovelli CQG(94)gq;
Tiwari gq/06 [unimodular
theory, and cosmological constant fluctuations].
@ Quasilocal: Brown et al CQG(90);
York in(91); Brown & York PRD(93),
gq/93,
gq/93 [microcanonical];
Martinez PRD(96)gq, PRD(96)gq;
Creighton gq/96-PhD
[including dilaton and gauge theory]; Ho et al CQG(98)gq/97 [duality].
@ Density of states: Braden, Whiting & York PRD(87).
@ Related topics: Balachandran et al NPB(96)gq/94 [edge
states]; Mensky PLA(03)
["universal scheme"];
von Borzeszkowski & Chrobok FP(03)
[no thermodynamical
degrees of freedom].
Main page – Abbreviations – Journals – Comments – Other
sites – Acknowledgements
Send feedback and suggestions to bombelli at olemiss.edu – Modified
14 jul 2008