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Central charge criticality of charged AdS black hole surrounded by different fluids

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Abstract

We analyze the extended phase space thermodynamics of Kiselev black hole introducing a central charge and allowing the gravitational constant to vary. We also discuss the relation between the chemical potential and the size of the black hole, besides the new description of phase transitions. We obtain as a conclusion that the universality of the central charge does not remain valid in general.

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Data Availability Statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.

Notes

  1. In Sects. 2.2, 3 and 4, we shall be considering the effects of assuming G as a local thermodynamic variable that will contribute to the first law of thermodynamics, like the black hole area or electric charge.

  2. Let us be more explicit about the notation used: In fact, Kiselev’s stress-energy tensor does not describe a perfect fluid, as highlighted in [52, 53]; however, an average equation of state parameter can be defined, which is given by \(\omega \). This issue is also discussed in the second section of [54].

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Acknowledgements

I. P. L. would like to acknowledge the contribution of the COST Action CA18108. I. P. L. was partially supported by the National Council for Scientific and Technological Development - CNPq grant 306414/2020-1. R. B. A. was partially supported by the Tutoring Program of the Federal University of Lavras.

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  1. Physics Department, Federal University of Lavras, Avenida Norte, Lavras, MG, 37200-000, Brazil

    R. B. Alfaia & L. C. T. Brito

  2. Department of Chemistry and Physics, Federal University of Paraíba, Rodovia BR 079 - Km 12, Areia, PB, 58397-000, Brazil

    I. P. Lobo

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  1. R. B. Alfaia
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R. B. Alfaia, I. P. Lobo and L. C. T. Brito have contributed equally to this work.

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Alfaia, R.B., Lobo, I.P. & Brito, L.C.T. Central charge criticality of charged AdS black hole surrounded by different fluids. Eur. Phys. J. Plus 137, 402 (2022). https://doi.org/10.1140/epjp/s13360-022-02623-9

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