Thermal analysis and Joule-Thomson expansion of black hole exhibiting metric-affine gravity*

Abstract This study examines a recently hypothesized black hole, which is a perfect solution of metric-affine gravity with a positive cosmological constant, and its thermodynamic features as well as the Joule-Thomson expansion. We develop some thermodynamical quantities, such as volume, Gibbs free energy, and heat capacity, using the entropy and Hawking temperature. We also examine the first law of thermodynamics and thermal fluctuations, which might eliminate certain black hole instabilities. In this regard, a phase transition from unstable to stable is conceivable when the first law order corrections are present. In addition, we study the efficiency of this system as a heat engine and the effect of metric-affine gravity for the physical parameters , , , , and . Further, we study the Joule-Thomson coefficient and inversion temperature, and observe the isenthalpic curves in the plane. In metric-affine gravity, a comparison is made between a van der Waals fluid and a black hole to study their similarities and differences.

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