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Thermodynamics of Apparent Horizon in Brane World Scenarios

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arxiv 0712.2142 v1 pith:O72WXLCR submitted 2007-12-13 hep-th gr-qc

classification hep-thgr-qc
keywords apparentbranehorizonscenariosworldmodelrelationterm
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Applying the Clausius relation, $\delta Q=TdS$, to the apparent horizon of FRW universe in brane world scenarios, we show that an explicit entropy expression associated with the apparent horizon can be obtained. On the apparent horizon, the relation, $dE=TdS +WdV$, also holds in the brane world scenarios. We show these results in the RSII model, warped DGP model and the more general case with a Gauss-Bonnet term in the bulk and an intrinsic curvature term on the brane.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The generalized second law as a thermodynamic selection criterion for dynamical dark energy

    gr-qc 2026-08 conditional novelty 6.0 of 10

    The generalized second law imposes complementary bounds on the horizon entropy scaling k in phantom and quintessence regimes, selecting k=2 at a smooth phantom-divide crossing.

  2. Hints Beyond $\Lambda$CDM from Barrow and Tsallis Holographic Dark Energy with GO cutoff

    gr-qc 2026-01 conditional novelty 5.0 of 10

    Barrow holographic dark energy with the Granda-Oliveros cutoff fits current background data as well as ΛCDM and shows a weak AIC preference only for the Union3-based dataset combination.

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