Erratum: Einstein Equations for Generalized Theories of Gravity and the Thermodynamic Relation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>δ</mml:mi><mml:mi>Q</mml:mi><mml:mo>=</mml:mo><mml:mi>T</mml:mi><mml:mi>δ</mml:mi><mml:mi>S</mml:mi></mml:math>are Equivalent [Phys. Rev. Lett.<b>103</b>, 101301 (2009)]

Brustein, Ram; Hadad, Merav

doi:10.1103/physrevlett.105.239902

Cited by 31 publications

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“…In 1995, Jacobson derived the Einstein equations as equilibrium equation of state by assuming proportionality of entropy and horizon area, and the Clausius relation. Since then, a large number of papers have sprung up to generalize the approach to other gravity theories [1][2] [3]. Last year, Verlinde [4] argued the gravity is not only an emergent force, but particularly an entropy force.…”

Section: Introductionmentioning

confidence: 99%

Entropy Bound Derived from the New Thermodynamics on Holographic Screen

Wu¹,

Gu²

2011

Commun. Theor. Phys.

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We introduce a new interpretation of chemical potential and show that holographic entropy is entropy bound, which is supported by two ideal cases discussed in detail. One is sparse but incompressible liquid like a star of uniform density and the other is a screen at infinity in spherically symmetric sapcetime. Our work is based on the new scenario of entropy force and holographic thermodynamics, and the Brown-York quasi-local energy.

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Section: Introductionmentioning

confidence: 99%

Entropy Bound Derived from the New Thermodynamics on Holographic Screen

Wu¹,

Gu²

2011

Commun. Theor. Phys.

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“…[2], in which the Einstein field equation was obtained by using the Clausius relation δQ = T δS where δQ is the energy flux, T is Unruh temperature and S is the entropy of thermodynamic system. Then, Brustein and Hadad proved that the motion equation of generalized gravity theory is equivalent to thermodynamic Clausius relation through a more general definition of the Noether charge entropy [3]. Soon after that, this method is generalized to diffeomorphism invariant theories of gravity by Padmanabhan in Ref.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of apparent horizon and Friedmann equations in big bounce universe

Liu¹,

Yang²,

Lu³

et al. 2016

Gen Relativ Gravit

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In this paper, we study a big bounce universe typified by a non-singular big bounce, as opposed to a singular big bang. This cosmological model can describe radiation dominated early universe and matter dominated late universe in FRW model. The connections between thermodynamics and gravity are observed here. In the early stage of both cold and hot universes, we find there is only one geometry containing a 4D de Sitter universe with a general state parameter. We also find the form of the apparent horizon in the early universe strongly depends on the extra dimension, which suggests that the influence of the extra dimension could in principle be found in the early universe.Moreover, we show that in the late stages of both cold and hot universes, the moment when the apparent horizon begins to bounce keeps essentially in step with the behavior of the cosmological scalar factor.

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“…In GR, the proportionality of the entropy to the horizon area allows to derive the Einstein equation from the Clausius relation in thermodynamics [34]. Consequence of this has been applied to more general extended gravitational theories [35,36], and we propose to perform this in f (R, T ) gravity around the LR.…”

Section: Thermodynamics In Lr Cosmologymentioning

confidence: 99%

“…A simple analysis of (19) shows that κρ ef f does not diverge until an infinite time t has elapsed. This is the LR phenomenon.…”

Section: General Formalism Of F(r T) Gravitymentioning

confidence: 99%

“…The Einstein equation was derived from the Clausius relation in thermodynamics with the proportionality of the entropy to the horizon area in General Relativity (GR) [17]. This procedure was developed to more general extended gravitational theories [18,19], and also in so-called f (T ) gravity [38,16], where T is the torsion scalar. Note also that a new method is now developed for studying the thermodynamics of equilibrium system, the so-called geometrodynamics, and some interesting results have been found [20]- [23].…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamics in Little Rip cosmology in the framework of a type of f(R, T) gravity

et al. 2014

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Cosmological reconstruction of Little Rip model in f (R, T ) gravity is investigated, where R is the curvature scalar and T the trace of the energy momentum tensor. The model perfectly reproduces the present stage of the universe, characterized by the ΛCDM model, without singularity at future finite-time (without the Big Rip). The input parameters are determined according to Supernovae Cosmology data and perfectly fit with the WMAP around the Little Rip. Moreover, the thermodynamics is considered in this Little Rip cosmology and it is illustrated that the second law of thermodynamics is always satisfied around the Little Rip universe for the temperature inside the horizon being the same as that of the apparent horizon. Moreover, we show the existence of a stable fixed point in the Little Rip universe which confirms that this is actually a late-time attractor in the phantom-dominated universe. The linear perturbation analysis is performed around the critical points, showing that the Little Rip model obtained is stable.

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Erratum: Einstein Equations for Generalized Theories of Gravity and the Thermodynamic RelationδQ=TδSare Equivalent [Phys. Rev. Lett.103, 101301 (2009)]

Cited by 31 publications

References 0 publications

Entropy Bound Derived from the New Thermodynamics on Holographic Screen

Entropy Bound Derived from the New Thermodynamics on Holographic Screen

Thermodynamics of apparent horizon and Friedmann equations in big bounce universe

Thermodynamics in Little Rip cosmology in the framework of a type of f(R, T) gravity

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