Charged AdS black holes in 4D Einstein–Gauss–Bonnet massive gravity
Indian Institute of Engineering Science and Technology (IIEST), 711103, Shibpur, WB, India
2 Department of Physics, K. L. S. College, Magadh University, 805110, Nawada, Bihar, India
3 School of Physics, Damghan University, 3671641167, Damghan, Iran
4 Department of Physics, Institute of Applied Science and Humanities, GLA University, 281406, Mathura, India
5 IUCAA Pune, 411007, Pune, Maharashtra, India
Accepted: 6 June 2023
Published online: 26 June 2023
We investigate Einstein–Gauss–Bonnet–Maxwell massive gravity in 4D AdS background and find an exact black hole solution. The horizon structure of the black holes studied. Treating the cosmological constant as pressure and Gauss–Bonnet coupling parameters, and massive gravity parameters as variables we drive the first law of black hole thermodynamics. To study the global stability of the black holes we compute the Gibbs free energy. The local stability of the black hole is also studied through specific heat. We analyze the effects of graviton mass and Gauss–Bonnet coupling parameters on the phase transition of the black holes. Finally, the effects of graviton mass and massive gravity parameters on the Joule–Thomson expansion of the black hole are studied.
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