https://doi.org/10.1140/epjp/s13360-022-02488-y
Regular Article
Critical points of regular black hole with Gauss–Bonnet effected entropy
1
Department of Mathematics, COMSATS University Islamabad, Lahore-Campus, 54000, Lahore, Pakistan
2
Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Pakistan
3
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
4
Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan
d gmustafa3828@gmail.com, gmustafa3828@zjnu.edu.cn
Received:
2
November
2020
Accepted:
12
February
2022
Published online:
28
February
2022
Thermodynamics of the new type of regular black hole associated with the cosmological constant in nonlinear electrodynamics has been investigated here. Using the modified entropy in the presence of Gauss–Bonnet coupling, the thermodynamics quantities including Hawking temperature, the first law of thermodynamics, equation of state as well as Gibbs free energy have been explored. Further, we have studied an interesting aspect of Hawking–Page phase transitions for such a black hole. Also, temperature–Gibbs free energy has been plotted against horizon radius to check the phase transitions. We use the isothermal compressibility and heat capacity to find the critical exponents and thermal stability.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
