Gravitational Analysis of Rotating Charged Black Hole-Like Solution in Einstein-Gauss-Bonnet Gravity

TL;DR

This paper investigates charged rotating black hole solutions in Einstein-Gauss-Bonnet gravity, analyzing their thermodynamic properties, stability, and entropy corrections through analytical and graphical methods.

Contribution

It introduces a new analysis of rotating charged black holes in Einstein-Gauss-Bonnet gravity, including temperature, stability, and entropy corrections, using the Newman-Janis approach.

Findings

Maximum temperature indicates black hole remnant formation.

Rotation and charge significantly affect black hole temperature and stability.

Logarithmic entropy corrections depend on rotation and correction parameters.

Abstract

This work analyzes the Einstein-Gauss-Bonnet gravity of charged black hole solutions through Newman-Janis approach. The Hawking temperature for corresponding black hole is also computed. The solution depends upon rotation parameter $a$, black hole mass, charge and horizon. Moreover, the graphical behavior of temperature via event horizon to analyze the stability of black hole under the effects of rotation parameter is discussed. The graphs are plotted in the presence/absence of rotation parameter and charge. Furthermore, the Hawking temperature under gravity effects is studied by using the semi-classical method. It is also observed that the maximum temperature at non-zero horizon depicts the BH remnant. Finally, the logarithmic corrected entropy for given black hole is computed and the logarithmic corrected entropy under effects of rotation and correction parameter are studied.