Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics

Abstract

Investigating black holes in modified theories of gravity offers fertile ground for exploring phenomena beyond the scope of general relativity. We investigate a novel class of charged anti-de Sitter (AdS) black holes within the ghost-free de Rham-Gabadadze-Tolley (dRGT) massive gravity, minimally coupled to an exponential form of nonlinear electrodynamics (NED). The NED sector is modelled by an exponential electrodynamics Lagrangian, which leads to singular black hole geometries in contrast to many regular configurations known in other NED models. In turn, we systematically investigate the thermodynamic properties and phase structure of the obtained black holes. The results show that the system has a rich thermodynamic structure. For different values of the magnetic charge $q$, the black hole can exhibit several types of phase transitions. These include van der Waals-like first-order phase transitions, second-order critical behavior, and a reentrant phase transition between small and large black holes without extending the phase space ($\Lambda =$constant). Our study enhances the understanding of AdS black holes in ghost-free massive gravity, providing further insights into the interplay between graviton mass and NED. The results highlight how the combined effects of graviton mass and electromagnetic nonlinearity can yield a rich and complex thermodynamic phase space, offering further insights relevant to the gauge/gravity duality and the ongoing search for observational signatures of modified gravity.

17 pages, 7 captioned figures, published in Annals of Physics

References in corpus (17)

• Resummation of Massive Gravity
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Hayward black holes in Einstein-Gauss-Bonnet gravity
• Phase transition of AdS black holes in 4D EGB gravity coupled to nonlinear electrodynamics
• Hawking-Page transition in holographic massive gravity
• A class of charged black hole solutions in massive (bi)gravity
• Nonsingular black hole chemistry
• Rotating black holes in general relativity coupled to nonlinear electrodynamics
• Range of novel black hole phase transitions via massive gravity: Triple points and N-fold reentrant phase transitions
• Nonsingular Black Holes in $4D$ Einstein--Gauss--Bonnet Gravity
• Quasinormal Modes and Phase Structure of Regular $AdS$ Einstein-Gauss-Bonnet Black Holes
• Charged $AdS$ Black Holes in $4D$ Einstein--Gauss--Bonnet Massive Gravity
• Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings
• More Exact Thermodynamics of Nonlinear Charged AdS Black Holes in 4D Critical Gravity
• Nonsingular black hole chemistry in $4D$ Einstein-Gauss-Bonnet gravity
• Thermal analysis of black hole in de Rham--Gabadadze--Tolley massive gravity in Barrow entropy framework