Joule-Thomson Expansion of Kerr-Newman-de Sitter Black Hole Under Lorentz Violation Theory

Abstract

In this paper, the tunneling of scalar particle near the event horizon of Kerr-Newman-de Sitter (KNdS) black hole is studied in frame dragging coordinates and Eddington coordinate under Lorentz violation theory (LVT). We also study the Joule-Thomson expansion for KNdS black hole under LVT by taking cosmological constant as thermodynamic pressure and its conjugate quantity as thermodynamic volume. The critical behaviour of KNdS black hole is derived from the pressure in the presence of LVT. It is noted that the critical radius and critical pressure are not affected by LVT but the critical temperature depends on LVT. The Joule-Thomson coefficient is obtained by using the temperature, pressure, volume and entropy of the black hole. Then we obtain the inversion curves which determine the cooling and heating regions. Moreover, the isenthalpic curves in T-P plane are obtained with the cooling-heating region. The ratio of minimum inversion temperature to the critical temperature is derived for the KNdS black hole. We analyse the effect of LVT in thermodynamic quantities such as entropy, Helmholtz free energy, internal energy, pressure, enthalpy, Gibbs free energy and heat capacity for KNdS black hole. The specific heat capacity and Hessian matrix are also discussed to check the stability of the black hole by graphical analysis. We also see that the swallowtail structure of KNdS black hole appears for different values of Lorentz violation parameter \(\lambda \).