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arXiv · 2608.22791

Joule Thomson expansion of $\kappa$-deformed Schwarzschild-AdS black hole

Vishnu Rajagopal·Puxun Wu
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Abstract

We investigate the Joule-Thomson expansion of a non-commutative Schwarzschild-AdS black hole, whose space-time geometry is described by the Lie-algebraic $\kappa$-deformed space-time, and show that the $\kappa$-deformation parameter induces Joule-Thomson expansion in an uncharged-AdS black hole. We find the ratio of minimum inversion temperature to critical temperature $T_i^{(min)}/T_c \simeq 0.493$, is independent of the deformation parameter, and is in close agreement with the value for Reissner-Nordstrom black hole. Furthermore, we show the existence of a minimum black hole mass (depending on the $\kappa$-deformation parameter) below which the Joule-Thomson expansion vanishes.

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Vishnu Rajagopal, Puxun Wu. 2026-08-24. Joule Thomson expansion of $\kappa$-deformed Schwarzschild-AdS black hole. https://arxiv.org/abs/2608.22791

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