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Effect of massive gravity on Joule–Thomson expansion of the charged AdS black hole

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Abstract

In this paper, we have studied how the presence of massive gravity modifies the Joule–Thomson expansion of the charged AdS black hole. We showed that the graviton mass and the coupling parameters affect the constant mass curve, the Joule–Thomson coefficient, and the inversion curve on a significant level. For the graviton mass or the coupling parameters at/above certain values, the Joule–Thomson expansion of the black hole with given mass and charge is only possible to lead to the heating without leading to the cooling. In addition, massive gravity can make the heating and cooling in the Joule–Thomson expansion of the black hole happen faster or slower, depending on the sign of the coupling parameters. Furthermore, the lower value of the inversion temperature can appear at the nonzero pressure.

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Notes

  1. In order to have a self-consistent massive gravity theory, the coupling parameters \(c_i\) might be required to be negative if the squared mass of the graviton is positive. However, in the AdS spacetime, the coupling parameters \(c_i\) can still take the positive values. This is because the fluctuations of the fields with the negative squared masses in the AdS spacetime could still be stable, if their squared masses obey the corresponding Breitenlohner–Freedman bounds.

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  1. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Vietnam

    Cao H. Nam

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Nam, C.H. Effect of massive gravity on Joule–Thomson expansion of the charged AdS black hole. Eur. Phys. J. Plus 135, 259 (2020). https://doi.org/10.1140/epjp/s13360-020-00274-2

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