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Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld

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arxiv hep-th/0701261 v2 pith:GZF3ZKHR submitted 2007-01-29 hep-th gr-qc

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

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We disclose the deep connection between the thermodynamics and gravity in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. We show that the Friedmann equations on the 3-brane embedded in the 5D spacetime with curvature correction terms can be written directly in the form of the first law of thermodynamics on the apparent horizon. Using the first law, we extract the entropy expression of the apparent horizon on the brane, which is useful in studying the thermodynamical properties of the black hole horizon on the brane in Gauss-Bonnet gravity.

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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. Modified Entropy from Action Principle

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Authors add f(R, K) to the Einstein-Hilbert action, obtain higher-derivative-free modified Friedmann equations for flat FRW, and derive a general apparent-horizon entropy expression usable for multiple entropy models.

  2. Observational constraints on the modified cosmology inspired by string T-duality

    gr-qc 2025-10 conditional novelty 4.0 of 10

    Late-time data bound the T-duality zero-point-length coupling to β ≲ 10^-3, leaving ΛCDM statistically equivalent.

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