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P-V criticality of first-order entropy corrected AdS black holes in massive gravity

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We consider a massive black hole in four dimensional AdS space and study the effect of thermal fluctuations on the thermodynamics of the black hole. We consider thermal fluctuations as… Click to show full abstract

We consider a massive black hole in four dimensional AdS space and study the effect of thermal fluctuations on the thermodynamics of the black hole. We consider thermal fluctuations as logarithmic correction terms in the entropy. We analyse the effect of logarithmic correction on thermodynamics potentials like Helmholtz and Gibbs which are found decreasing functions. We study critical points and stability and find that presence of logarithmic correction is necessary to have stable phase and critical point.

Keywords: logarithmic correction; criticality first; first order; order entropy; thermodynamics; entropy corrected

Journal Title: Physical Review D
Year Published: 2017

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