Black hole solutions in theory of ModMax-dRGT-like massive gravity
arXiv:2507.05864 · doi:10.1016/j.physletb.2025.139711
Abstract
This paper explores the properties of black holes using a new model of nonlinear electrodynamics called modified Maxwell (ModMax), in conjunction with nonlinear massive gravity known as dRGT-like massive gravity. We start by deriving the exact black hole solutions within the framework of ModMax-dRGT-like massive gravity and analyze how the parameters of both ModMax and dRGT-like massive gravity influence the characteristics of these black holes. Additionally, we calculate the thermodynamic quantities for these black holes in the non-extended phase space and investigate how the parameters of ModMax and dRGT-like massive gravity affect these quantities. We confirm that these quantities satisfy the first law of thermodynamics. We also examine local stability by analyzing heat capacity and assess how ModMax and the massive parameters influence phase transitions and physical limitation points. Next, we expand our analysis to the extended phase space, demonstrating that these thermodynamic quantities satisfy both the first law of thermodynamics and the Smarr relation in this context. Finally, we examine the isoperimetric ratio of black holes in ModMax-dRGT-like massive gravity.
10 pages (two columns), 5 figures, accepted for publication in Physics Letters B
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- Topological Mod(A)Max AdS black holes
- Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
- Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
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