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Thermodynamic extremality relations in massive gravity *
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DOI：10.1088/1674-1137/abcf21.png)
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A universal relation between the leading correction to the entropy and extremality was proposed in the work of Goon and Penco. In this paper, we extend this work to massive gravity and investigate thermodynamic extremality relations in a topologically higher-dimensional black hole. A rescaled cosmological constant is added to the action of the massive gravity as a perturbative correction. This correction modifies the extremality bound of the black hole and leads to shifts in the mass, entropy, etc. Regarding the cosmological constant as a variable related to pressure, we obtain the thermodynamic extremality relations between the mass and entropy, pressure, charge, and parameters c(i) by accurate calculations. Finally, these relations are verified by a triple product identity, which shows that the universal relation exists in black holes.
Keyword:
thermodynamic extremality relations
massive gravity
perturbative corrections
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3.1
论文数:
4.8K
被引数:
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