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PreprintCC BY-SA 4.0arXiv

Joule Thomson expansion of κ-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 κ-deformed space-time, and show that the κ-deformation parameter induces Joule-Thomson expansion in an uncharged-AdS black hole. We find the ratio of minimum inversion temperature to critical temperature Ti(min)/Tc ≃ 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 κ-deformation parameter) below which the Joule-Thomson expansion vanishes.

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BibTeXRIS
BibTeX
@misc{rajagopal2026joule,
  title = {{Joule Thomson expansion of $κ$-deformed Schwarzschild-AdS black hole}},
  author = {Vishnu Rajagopal and Puxun Wu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.22791},
  eprint = {2608.22791},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.22791},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - Joule Thomson expansion of κ-deformed Schwarzschild-AdS black hole
AU  - Vishnu Rajagopal
AU  - Puxun Wu
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2608.22791
UR  - https://arxiv.org/abs/2608.22791
AB  - We investigate the Joule-Thomson expansion of a non-commutative Schwarzschild-AdS black hole, whose space-time geometry is described by the Lie-algebraic κ-deformed space-time, and show that the κ-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 ≃ 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 κ-deformation parameter) below which the Joule-Thomson expansion vanishes.
ER  -