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

2013

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

Chen, Songbai, Liu, Xiaofang, Liu, Changqing

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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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