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$P-V$ criticality of AdS black hole in $f(R)$ gravity

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arxiv 1301.3234 v2 pith:2T3MG34B submitted 2013-01-15 gr-qc

Songbai Chen , Xiaofang Liu , Changqing Liu This is my paper · ORCID
classification gr-qc
keywords correctionblackcriticalholephasetransitionchargedconsidered
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abstract

We study thermodynamics of a charged AdS black hole in the special $f(R)$ correction with the constant Ricci scalar curvature. Our results show that the the $f(R)$ correction influences the Gibbs free energy and the phase transition of system. The ratio $\rho_c$ occurred at the critical point increases monotonically with the derivative term $f'(R_0)$. We also disclose that the critical exponents are the same as those of the liquid-gas phase transition in the Van der Waals model, which does not depend on the $f(R)$ correction considered here.

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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. Black hole chemistry: thermodynamics with Lambda

    hep-th 2016-08 accept novelty 3.0 of 10

    Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reen...

  2. Aspects of the Black Hole Interior Volume and Entropy

    gr-qc 2025-09 unverdicted novelty 2.0 of 10

    A doctoral thesis compiles and reproduces prior semiclassical results claiming the interior scalar-mode entropy of black holes is proportional to horizon entropy with a coefficient less than one.

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