Area Product and Mass Formula for Kerr-Newman Black Hole in Quintessence

TL;DR

This paper analyzes the thermodynamic properties of Kerr-Newman black holes in quintessence, deriving universal area and entropy products and exploring their implications for black hole entropy and bounds.

Contribution

It introduces new formulas for thermodynamic products of Kerr-Newman black holes in quintessence, highlighting their universality and dependence on physical parameters.

Findings

Area and entropy products are independent of mass, depending only on charge, angular momentum, and quintessence parameter.

Area and entropy sums depend on mass, charge, spin, and quintessence parameter, thus are not universal.

Derived bounds and inequalities related to black hole entropy and mass, including Penrose inequality.

Abstract

In this research work, predominantly we acquire area, angular velocity, entropy, surface gravity and Hawking temperature of inner and outer horizons for Kerr-Newman black hole in presence of quintessence. Additionally, we determine area sum, area product, entropy sum and entropy product. We examine that the area product and entropy product are free from mass $M$ but they surly rely upon the angular momentum $J$, charge $q$, spin parameter $a$ and the normalization factor $c$. We monitor that these thermodynamic products are universal. We investigate that the area sum and entropy sum rely upon the mass $M$, charge $q$, spin parameter $a$ and the normalization factor $c$, so these sums are not universal. The black hole mass and Christodoulou-Ruffini mass for Kerr-Newman black hole in quintessence are also found. We extract the entropy bound from the area bound. We derive the Penrose inequality and discuss the microscopic nature of the entropy.