Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity

Abstract

We investigate a new class of $(n+1)$-dimensional topological black hole solutions in the context of massive gravity and in the presence of logarithmic nonlinear electrodynamics. Exploring higher dimensional solutions in massive gravity coupled to nonlinear electrodynamics is motivated by holographic hypothesis as well as string theory. We first construct exact solutions of the field equations and then explore the behavior of the metric functions for different values of the model parameters. We observe that our black holes admit the multi-horizons caused by a quantum effect called anti-evaporation. Next, by calculating the conserved and thermodynamic quantities, we obtain a generalized Smarr formula. We find that the first law of black holes thermodynamics is satisfied on the black hole horizon. We study thermal stability of the obtained solutions in both canonical and grand canonical ensembles. We reveal that depending on the model parameters, our solutions exhibit a rich variety of phase structures. Finally, we explore, for the first time without extending thermodynamics phase space, the critical behavior and reentrant phase transition for black hole solutions in massive gravity theory. We realize that there is a zeroth order phase transition for a specified range of charge value and the system experiences a large/small/large reentrant phase transition due to the presence of nonlinear electrodynamics.

arXiv comment14 pages (one column), 12 captioned figures

References in corpus (28)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• String Theory and Noncommutative Geometry
• Resummation of Massive Gravity
• Massive Gravity
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Reentrant Phase Transitions in Rotating AdS Black Holes
• Thermodynamics of Black Holes in Massive Gravity
• Charged black points in General Relativity coupled to the logarithmic $U(1)$ gauge theory
• Strong interactions and exact solutions in non-linear massive gravity
• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
• Relativistic Stars in dRGT Massive Gravity
• Reentrant phase transition of Born-Infeld-AdS black holes
• Novel phase transition in charged dilaton black holes
• Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics
• Black Hole Thermodynamics and Massive Gravity
• Critical behavior of Gauss-Bonnet black holes via an alternative phase space
• Universality class of alternative phase space and Van der Waals criticality
• On asymptotically AdS-like solutions of three dimensional massive gravity
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Alternative approach to the critical behavior and microscopic structure of the power-Maxwell black holes
• Critical behaviour of Lifshitz dilaton black holes
• Holographic Conductivity for Logarithmic Charged Dilaton-Lifshitz Solutions
• Massive spin-2 field in arbitrary spacetimes -- the detailed derivation
• Modified Rindler acceleration as a nonlinear electromagnetic effect
• Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics

Cited by in corpus (3)

• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• AdS black brane coupled to non-abelian logarithmic gauge theory and color DC conductivity
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics