Real particle geodesics and thermodynamics of a black hole in Regular Schwarzschild-Anti de Sitter space-time

Regular Schwarzschild Anti-de-Sitter (RSch-AdS) spacetime, which is a maximally symmetric and Lorentzian manifold of negative curvature, is a solution of Einstein's field equations with a negative cosmological constant and a matter source with a Gaussian distribution. Studying of black hole (BH) in such a spacetime, known as RSch-AdS black hole, can be instructive from various aspects and lead to a better understanding of them. In this regard, geodesics of real particles around RSch-AdS black holes and RSch-AdS thermodynamics of BH are two important issues that we are going to evaluate in this research. For this purpose, we first obtain the geodesics of real particles based on the changes in the values of effective parameters such as mass distribution, angular momentum and cosmological constant numerically according to boundary conditions and interpret their behavior. Second, using the laws of thermodynamics, some aspects of BH, defined in this spacetime, such as temperature, entropy, heat capacity and Gibbs free energy are studied and discussed
Comment: 22 pages, 26 figures