Study of thermodynamical geometries of conformal gravity black hole

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 beh...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2022-11, Vol.82 (11), p.1044-11, Article 1044
Main Authors: Shahzad, M. Umair, Asjad, Muhammad Imran, Nafees, Sana, Hamood-Ur-Rehman
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Black holes
Elementary Particles
Entropy
Geometry
Gravity
Hadrons
Heat
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Radiation
Regular Article - Theoretical Physics
Spacetime
Specific heat
Stability
String Theory
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Summary: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.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-022-10974-x