Joule-Thomson expansion of regular Bardeen AdS black hole surrounded by static anisotropic matter field

In the present paper, we investigate the required anisotropy of an exact regular Bardeen black hole characterized by its mass M and the nonlinear parameter beta in anti-de sitter spacetime with a static anisotropic matter field. We also show that the relative pressure anisotropy, equation of state and the pressure depends on the radial coordinate, reflecting the required anisotropy for Bardeen black hole. Next, we analyze the Joule-Thomson (JT) expansion of the black hole spacetime. Treating the cosmological constant as thermodynamic pressure P and its conjugate quantity as thermodynamic volume V, we derive the equation of state connecting Hawking temperature and various black hole parameters. We study the JT expansion in the regular Bardeen AdS black holes in the anisotropic matter field background through the analysis of inversion temperature and isenthalpic curves. We derive the JT coefficient mu and use them to plot the inversion and isenthalpic curves. We discuss the effect of anisotropy parameter a and omega(q) on the JT coefficient and inversion temperature, especially with the case of omega(q) = -1, omega(q) = -2/3 and omega(q) = -1/3. Our analysis shows that anisotropic matter field affects the inversion point (T-i, P-i). (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the anisotropy of Bardeen black hole in a static anisotropic matter field and analyzes its Joule-Thomson expansion. By studying the pressure anisotropy, equation of state, and pressure variation with radial coordinate, as well as treating the cosmological constant as a thermodynamic pressure and deriving the equation of state connecting Hawking temperature and black hole parameters, the paper explores the effects of anisotropic matter field on JT expansion.