Author:
Rani Shamaila,Jawad Abdul,Moradpour Hooman,Tanveer Aqsa
Abstract
AbstractIn this paper, we analyze the thermodynamics of five-dimensional Schwarzschild AdS black hole in $$AdS_5 \times S^5$$
A
d
S
5
×
S
5
spacetime in the presence of Tsallis entropy. Since the cosmological constant $$\Lambda $$
Λ
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 $$\Lambda $$
Λ
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 $$N^2$$
N
2
. 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.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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