Study of thermodynamical geometries of conformal gravity black hole

M. Umair Shahzad; Muhammad Imran Asjad; Sana Nafees; Hamood-Ur-Rehman Hamood-Ur-Rehman

doi:10.1140/epjc/s10052-022-10974-x

2021 Impact factor 4.991

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 1044
https://doi.org/10.1140/epjc/s10052-022-10974-x

Regular Article - Theoretical Physics

Study of thermodynamical geometries of conformal gravity black hole

M. Umair Shahzad¹, Muhammad Imran Asjad²^b, Sana Nafees¹ and Hamood-Ur-Rehman¹

¹ Department of Mathematics, University of Okara, Okara, Pakistan
² Department of Mathematics, University of Management and Technology, Lahore, Pakistan

^b imran.asjad@umt.edu.pk

Received: 23 May 2022
Accepted: 29 October 2022
Published online: 17 November 2022

Abstract

This work deals with the applications of thermodynamical geometries on conformal gravity black holes (CGBH) consisting of conformal parameters a and k. The stability of black hole (BH) addressed with the aid of small, middle, large and divergency roots, respectively. For this purpose, graphical behavior of heat capacity and temperature versus horizon radius is presented which help us to show the stability conditions. Further, studied the different geometries like Weinhold, Ruppeiner, Geometrothermodynamics (GTD) and Hendi-Panahiyah-Eslam-Momennia (HPEM), and found relationship between divergency of scalar curvature and zeros of heat capacity. As a result, it is noticed that Ruppeiner, HPEM and GTD metric exhibit more important information as compared to Weinhold.

© The Author(s) 2022

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