Analysis of thermal geometries on slowly rotating black holes in 4D Gauss–Bonnet gravity

In this paper, we study the thermodynamic geometries of slowly rotating black holes in 4D Gauss–Bonnet gravity. For this purpose, we investigate the thermodynamic quantities such as Hawking temperature, pressure, mass, volume, and specific heat capacity on event horizon in the presence of Bekenstein...

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Bibliographic Details
Published in:Astronomy and computing 2023-07, Vol.44, p.100733, Article 100733
Main Authors: Yasir, M., Tiecheng, X., Ditta, A.
Format: Article
Language:English
Subjects:
Bound points
Divergence points
Specific heat
Thermodynamic geometries
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Summary:In this paper, we study the thermodynamic geometries of slowly rotating black holes in 4D Gauss–Bonnet gravity. For this purpose, we investigate the thermodynamic quantities such as Hawking temperature, pressure, mass, volume, and specific heat capacity on event horizon in the presence of Bekenstein entropy. The thermal stability of considered black holes is being studied through specific heat capacity for different values of model parameters α and l. The consequences of thermal geometries on slowly rotating black holes consisting of cosmological effects will be examined by exploring the stability conditions (bounds and divergence points). We analyze the thermal geometries like Weinhold, Ruppeiner, Geometrothermodymics (GTD), and Hendi Panahiyah Eslam Momennia (HPEM) formulation. Moreover, we develop the mathematical models of scalar curvatures for respective black holes. Here, we observe that, in contrast to Ruppeiner and Weinhold, GTD and HPEM formulations supply more information concerning to the phase transition of the black holes.
ISSN:2213-1337
2213-1345
DOI:10.1016/j.ascom.2023.100733