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- Title
Thermodynamics, phase structure of Bardeen massive black hole in Gauss-Bonnet gravity.
- Authors
Singh, Bhupendra; Singh, Benoy Kumar; Singh, Dharm Veer
- Abstract
This work provides the exact solution of the Bardeen black hole in association with 4 D Gauss–Bonnet massive gravity in Anti-de-Sitter (A d S) space–time. It is a modification of the Gauss–Bonnet when gravity couples with nonlinear matter fields which is the function of the electromagnetic field. The obtained solution gives rise to 4 D EGB Bardeen black holes when the massive gravity parameter is set to zero and it yields a 4 D Gauss–Bonnet black hole in the absence of magnetic monopole charge. Further, we analyze and adopt the thermodynamic quantities like mass ( M + ), temperature (T +) and heat capacity (C +) in the presence of massive gravity and nonlinear electrodynamics. In addition, we extend our results by considering the cosmological constant (Λ) as a thermodynamical variable (P = − Λ / 8 π) and obtain the critical values of pressure, temperature, horizon radius and analyze the behavior of the global parameter P c v c / T c . The effect of a massive parameter (m) of the critical exponent is opposite to the magnetic monopole charge (e) and Gauss–Bonnet parameter (α). According to our analysis the phase transition between a small and large black hole and van der Waals phase transition are analogous to each other.
- Subjects
EINSTEIN-Gauss-Bonnet gravity; THERMODYNAMICS; PHASE transitions; MAGNETIC monopoles; COSMOLOGICAL constant; BLACK holes; SCHWARZSCHILD black holes
- Publication
International Journal of Geometric Methods in Modern Physics, 2023, Vol 20, Issue 8, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887823501256