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Effects of Thermal fluctuations on Torus-like charge AdS Black Hole
Author(s):
1. Rana Hasnain Ali: Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
Abstract:
In this article, we analyze the thermodynamics, thermal fluctuations, and quasi-normal modes of a torus-like charge AdS black hole. The parameters of a torus-like charge AdS black hole are its mass, electric charge, and cosmological constant. The first law of thermodynamics is supported by the Hawking temperature, entropy, volume, and specific heat. We evaluated thermodynamics and thermal fluctuations using a BH and found that it had a significant impact on both uncorrected and corrected thermodynamic potentials. To investigate the impact of thermal fluctuation on other thermodynamic potentials, such as the Hemohltz free energy, internal free energy, Gibbs free energy, enthalpy, and specific heat, with constant pressure and volume, we employ the concept of corrected entropy, which reveals that black holes of large radii are more stable and significant as compared to small radii.Finally, we use null geodesics to deal with quasi-normal modes and establish a link between Davies's point and quasi-normal modes. The real and imaginary components of the quasi-normal modes in the eikonal limit are the photon sphere's angular velocity and Lyapunov exponent, which are given by the null geodesics. With rising charge and photon radius, angular velocity reaches its maximum, similar to Lyapunov's exponent.
Page(s): 19-19
DOI: DOI not available
Published: Journal: Abstract Book on Global Science Technology and Management Conference, Volume: 0, Issue: 0, Year: 2023
Keywords:
Thermal fluctuations , Toruslike charge AdS Black Hole
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