https://doi.org/10.1140/epjc/s10052-022-10655-9
Regular Article - Theoretical Physics
Tsallis entropy inspires geometric thermodynamics of specific black hole
1
Department of Mathematics, COMSATS University Islamabad, 54000, Lahore, Pakistan
2
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, P.O. Box 55136-553, Maragheh, Iran
Received:
26
February
2022
Accepted:
10
July
2022
Published online:
16
August
2022
In this paper, we analyze the thermodynamics of five-dimensional Schwarzschild AdS black hole in 
spacetime in the presence of Tsallis entropy. Since the cosmological constant 
is considered as thermodynamical pressure with volume as its conjugate, but this explanation cannot be employed in AdS/CFT correspondence. In this study, we associate cosmological constant in boundary gauge theory with the number of colors N and chemical potential is taken to be its thermodynamic conjugate. The two geometric parameters in the AdS black hole, r and L are substituted for two thermodynamic parameters in the micro-canonical ensemble, which are considered to be entropy S and 
. Moreover, we evaluate several thermodynamical geometry formulations, including Weinhold, Ruppeiner, and Quevedo and derive associated scalar curvatures for five-dimensional Schwarzschild AdS black hole. It is suggested that all these geometries show repulsive/attractive forces on the particles at different phases of entropy.
© The Author(s) 2022
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