Thermal fluctuations of Torus-like charged AdS Black Hole

Abstract

In this article, we analyze the thermodynamics, thermal fluctuations and quasi-normal modes of a torus-like AdS black hole. The parameters of a torus-like charged AdS black hole are its mass, electric charge and cosmological constant. We used a torus-like charge in an AdS black hole to evaluate thermodynamics through thermal fluctuations and found that it significantly affected the corrected thermodynamic potentials. Black holes of larger radii are more stable and significant, as determined by our investigation of the effect of thermal fluctuation on other thermodynamic potentials such as Helmholtz free energy, Gibbs free energy, enthalpy and specific heat with constant pressure and volume, using the concept of corrected entropy. Finally, we use null geodesics to deal with quasi-normal modes. The null geodesics provide the photon sphere’s angular velocity and Lyapunov exponent, which are the real and imaginary components of the quasi-normal modes in the eikonal limit. With rising charge and photon radius, the angular velocity reaches its maximum, similar to Lyapunov’s exponent.