Clausius Equation for Horizons in $F(R)$ Gravity

Bohuslav Matou\v{s}

Clausius Equation for Horizons in $F(R)$ Gravity

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arxiv 2111.14753 v3 pith:T7Y5ZGZD submitted 2021-11-25 gr-qc

Bohuslav Matouš This is my paper · ORCID

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keywords equationclausiusformulationgravityhamiltonianusedanalogyclassical

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abstract

Covariant Hamiltonian formulation of $F(R)$ gravity is used to find variation of surface Hamiltonian which leads to formulation of temperature and entropy of a horizon. These thermodynamic quantities are then used to establish an analogy between Einstein equation and Clausius equation. The obtained results are compared to those from classical General Relativity.

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Is The Internal Entropy of F(R)-Gravity Really An Entropy?
gr-qc 2024-11 reject novelty 5.0 of 10

A combined Padmanabhan-Hammad entropy functional for F(R)-gravity yields an internal entropy whose derivative structure disagrees with previous derivations, hinting that the internal entropy may actually be a pressure.

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