Thermal stability with emission energy and Joule–Thomson expansion of regular BTZ-like black hole

Aug 29, 2022
12 pages
Published in:
  • Eur.Phys.J.C 82 (2022) 8, 756
  • Published: Aug 29, 2022

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Abstract: (Springer)
We investigate the thermodynamic properties and Joule–Thomson expansion for conical or BTZ-like black holes. To analyze the thermal stability, we discuss the temperature and thermal stability relative to the horizon radius for different values of model parameters β0\beta _0 and α2\alpha _2. Moreover, we analyze thermodynamical geometries like Ruppeiner, Weinhold and Hendi Panahiyah Eslam Momennia formulation and calculate respective scalar curvatures for BTZ-like black holes. Interestingly, the black holes have no singularity in some cases, i.e., completely regular. We obtain the inversion temperatures and inversion curves and investigate the similarities and differences between van der Waals and charged fluids. To discuss this expansion, we use a BTZ-like black hole. Further, we establish the position of the inversion point versus different values of mass μ\mu , and the parameters β0\beta _0 and α2\alpha _2 for such a BTZ-like black hole. The Joule–Thomson coefficient μ\mu at this point disappears. A crucial trait upon which we relied to inspect the sign of quantity μ\mu to get the cooling-heating areas. We also investigate the energy emission depending upon the frequency ω\omega .
  • stability: thermal
  • energy: emission
  • curvature: scalar
  • geometry: thermodynamical
  • black hole: BTZ
  • temperature
  • fluid
  • horizon
  • singularity
  • van der Waals