|  Gravitational Thermodynamics – Specific Theories and Models | 
Different Types of Gravity Theories
  > s.a. gravitational thermodynamics [including quasilocal formulation].
  * Thermodynamics and field equations:
    Field equations for general relativity and some higher-curvature theories of gravity
    have been derived by a thermodynamic reasoning using the Clausius relation.
  @ Thermodynamics and field equations:
    Brustein & Hadad PRL(09)-a0903
      [field equations for generalized-gravity equivalent to δQ = T dS];
    Dey et al PRD(16)-a1605 [new entropy density, and diffeomorphism invariant metric theories of gravity].
  @ f(R) gravity:
    Akbar & Cai PLB(07)gq/06;
    Elizalde & Silva PRD(08)-a0804;
    Bamba et al PLB(10)-a0909;
    Chirco & Liberati PRD(10)-a0909 [non-equilibrium thermodynamics and dissipation];
    Bamba & Geng JCAP(10)-a1005 [Palatini formalism];
    Chirco et al PRD(11)-a1011 [reversible and irreversible thermodynamics];
    Yokokura IJMPA(12)-a1106 [and the black-hole membrane paradigm];
    Karami et al EPL(12)-a1201;
    Bamba IJGMP(16)-a1604 [rev, and f(T)];
    Zheng & Yang EPJC(18)-a1806 [horizons];
    Peralta & Jorás JCAP-a1911 [cosmology].
  @ Scalar-tensor theory: Abdolmaleki et al PRD(14)-a1401 [second law];
    Faraoni & Giusti PRD-a2103;
    Dey et al a2105 [on a generic null surface].
  @ Hořava-Lifshitz gravity: Cai & Ohta PRD(10)-a0910;
    Jamil et al JCAP(10)-a1003;
    Bhattacharya & Debnath IJMPD(11)-a1006;
    Blas & Sibiryakov PRD(11)-a1110 [the black-hole case].
  @ Lanczos-Lovelock gravity:
    Paranjape et al PRD(06)ht/06;
    Chakraborty & Padmanabhan PRD(14)-a1408 [canonical, thermodynamically conjugate variables];
    Chakraborty JHEP(15)-a1505.
  @ Semiclassical quantum gravity: Johnson CQG(14)-a1405 [gravitational mass as enthalpy]. 
  @ Other theories: Wu et al PRD(10)-a0909,
    PRD(10);
    Bamba et al EPL(10)-a0909,
    IJMPD(11)-a1101-proc [f(R) and others];
    Chirco et al PRD(11)-a1011 [Brans-Dicke theory];
    Guedens et al PRD(12)-a1112 [higher-curvature equations of state];
    Karami & Abdolmaleki JCAP(12)-a1201 [f(T) theories];
    Hammad IJTP(12)-a1202 [Riemann-Cartan spacetime];
    Sharif & Zubair JCAP(12)-a1204 [f(R,T) theory of gravity];
    Chattopadhyay et al IJTP(12);
    Dehghani et al PLB(13) [quasi-topological gravity, cosmology];
    Miao et al IJMPD(14)-a1407 [Lovelock and f(R) gravity];
    Dey et al PRD(17)-a1709 [in the presence of torsion].
  > Related topics:
    see modified uncertainty relations;
    MOND.
Specific Types of Systems > s.a. gravitating
  many-body systems [including statistical mechanics]; horizons.
  @ Self-gravitating systems: Axenides et al JPCS(13)-a1303
      [Antonov's instability or gravothermal catastrophe, with a cosmological constant];
    Savvidou & Anastopoulos CQG(14)-a1302 [and holography];
    Oltean et al PRD(16)-a1607 [the gravitational two-body problem as a dissipative system].
  @ Radiation in a cavity: Katz & Okuta CQG(95),
    Parentani et al CQG(95) [with black hole];
    Padmanabhan & Singh CQG(03) [equilibrium].
  @ FLRW models:
    Cai & Kim JHEP(05)ht [first law of thermodynamics];
    Akbar & Cai PLB(06)ht [scalar-tensor and f(R) gravity];
    Cai et al PRD(10)-a1001 [and the holographic principle];
    Cao et al JCAP(10)-a1001 [and Clausius relation];
    > s.a. friedmann equation;
      large-scale geometry [gravitational temperature].
  @ Cosmology, particle creation:
    Prigogine et al PNAS(88);
    Lima et al a0708.
  @ Other cosmology: Izquierdo & Pavón PLB(06) [black holes and phantom-dominated universes];
    Myung PLB(09)-a0810 [phantom fields];
    Padmanabhan GRG(10)-a1001,
    Dezaki & Mirza GRG(15)-a1406 [and universal expansion];
    Gálvez et al JCAP(11)-a1103 [and eternal inflation];
    Chakraborty PLB(12)-a1206;
    Tian & Booth PRD(15)-a1411 [apparent horizons];
    Mitra et al PLB(14)-a1503 [horizon entropy];
    > s.a. friedmann equation.
  > Related topics:
    see laws of black-hole dynamics; models
    in canonical quantum gravity; wormholes.
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