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No P–V criticality for charged topological black holes in Hořava-Lifshitz gravity

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Abstract

Searching for the unusual characteristics of Hořava-Lifshitz gravity, we generalize our former research of charged topological black holes in Hořava-Lifshitz gravity to the extended phase space. By treating cosmological constant as thermodynamic pressure, thermodynamic volume is derived as the conjugate quantity. P–V criticality is investigated by carrying out analytic analysis not only for the uncharged case but also for the charged case. All the topologies are considered. Unfortunately, no physical critical point has been found in all the cases. The results suggests again that the van der Waals like P–V criticality is not a universal phenomenon by providing one more example other than BTZ black holes. Our results also show that the existence of cosmological constant in the black hole metric is not sufficient for the existence of van der Waals like P–V criticality.

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Acknowledgements

The author would like to express his sincere gratitude to the referee for his enlightening suggestion which help improve the quality of this paper greatly. The author is supported by “Thousand Hundred Ten” project of Guangdong Province of China and “ChuangXinQiangXiao” project of Lingnan normal university.

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  1. Institute of Theoretical Physics, Lingnan Normal University, Zhanjiang, 524048, Guangdong, China

    Jie-Xiong Mo

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Mo, JX. No P–V criticality for charged topological black holes in Hořava-Lifshitz gravity. Astrophys Space Sci 356, 319–325 (2015). https://doi.org/10.1007/s10509-014-2216-0

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