2005
DOI: 10.1088/1126-6708/2005/09/060
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de Sitter thermodynamics and the braneworld

Abstract: Abstract:The de Sitter thermodynamics of cosmological models with a modified Friedmann equation is considered, with particular reference to high-energy Randall-Sundrum and Gauss-Bonnet braneworlds. The Friedmann equation can be regarded as the first law of thermodynamics of an effective gravitational theory in quasi de Sitter spacetime. The associated entropy provides some selection rules for the range of the parameters of the models, and is proposed for describing tunneling processes in the class of high-ener… Show more

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Cited by 54 publications
(34 citation statements)
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References 78 publications
(55 reference statements)
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“…Further studies on the connection between gravity and thermodynamics has been investigated in various gravity theories [2,3,4,5,6,7,8,9,10]. In the cosmological context, attempts to disclose the connection between Einstein gravity and thermodynamics were carried out in [11,12,13,14,15,16,17,18,19,20,21,22]. It was shown that the differential form of the Friedmann equation in the FRW universe can be written in the form of the first law of thermodynamics on the apparent horizon.…”
Section: Introductionmentioning
confidence: 99%
“…Further studies on the connection between gravity and thermodynamics has been investigated in various gravity theories [2,3,4,5,6,7,8,9,10]. In the cosmological context, attempts to disclose the connection between Einstein gravity and thermodynamics were carried out in [11,12,13,14,15,16,17,18,19,20,21,22]. It was shown that the differential form of the Friedmann equation in the FRW universe can be written in the form of the first law of thermodynamics on the apparent horizon.…”
Section: Introductionmentioning
confidence: 99%
“…The probability of the creation of a closed universe from nothing was computed in Ref. [46], and can be written as…”
Section: Constant Potentialmentioning
confidence: 99%
“…Then, the Einstein field equations were obtained from the relation of entropy and horizon area together with the Clausius relation dQ = T dS where Q, S and T are the heat, the entropy and the temperature, respectively. In this regard, where the connection between gravity and thermodynamics holds, the Friedmann equations are obtained by applying the first law of thermodynamics to the apparent horizon of the FLRW universe [65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82]. The second law of thermodynamics and its generalized version is also studied in different modified gravity models such as .…”
Section: Introductionmentioning
confidence: 99%