Thermal stability and tunneling radiation in Van der Waals black hole
Allah Ditta, Xia Tiecheng, Riasat Ali, G. Mustafa
Abstract
In this manuscript, we analyze the thermodynamic properties of the Van der Waals black hole. For this purpose, we calculate the geometric mass, Hawking temperature, thermodynamic mass, heat capacity, and Gibbs free energy. By studying the properties of mass and temperature, we depict the physical existence of Van der Waals black hole solutions. We calculate the mass of the black hole by using the first law of thermodynamics, then calculate the heat capacity and Gibbs free energy to discuss the phase transition of the Van der Waals black hole. We observe that both the Van der Waals parameters a and b have a significant effect on the thermodynamic properties of the black hole. Additionally, we compute the energy emission rate and show that the emission rate is directly proportional to the Van der Waals parameter. Furthermore, we investigate the effect of quantum gravity on the Van der Waals black hole produced by first-order gravity and also employ the Lagrangian equation, which has been modified by the generalized uncertainty principle (GUP). The tunneling radiation of a Van der Waals black hole is calculated after solving the field equations.