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$P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field

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arxiv 1710.06795 v4 pith:R3OINIGQ submitted 2017-10-17 gr-qc

classification gr-qc
keywords blackcoupledcriticalityfieldgravityholephasespecific
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abstract

In this paper, we study the $P-v$ criticality of a specific charged AdS type black hole (SBH) in $f(R)$ gravity coupled with Yang-Mills field. In the extended phase space, we treat the cosmological constant as a thermodynamic pressure. After we study the various thermodynamical quantities, we show that the thermodynamic properties of the SBH behave as a Van der Waals liquid-gas system at the critical points and there is a first order phase transition between small-large SBH.

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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. Charged accelerating black hole in $f(R)$ gravity

    hep-th 2019-08 conditional novelty 6.0 of 10

    A charged, slowly accelerating AdS black hole in f(R) gravity is constructed and shown to satisfy a first law, with an eta-dependent thermodynamic volume and a reverse isoperimetric inequality that allows super-entrop...

  2. Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid

    gr-qc 2019-08 conditional novelty 5.0 of 10

    For a quantum-corrected Schwarzschild black hole in a Kiselev perfect fluid, first-order PV criticality appears when the fluid parameter satisfies omega > -1/3 and omega differs from zero, while a Hawking-Page-like tr...

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