Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields

Abstract

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some thermodynamic quantities of the obtained black holes like entropy and energy and investigate their thermodynamic topology.

11 pages, 3 figures

References in corpus (27)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Construction of Regular Black Holes in General Relativity
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• The Cosmology of Modified Gauss-Bonnet Gravity
• Energy conditions in f(R)-gravity
• Black Hole Solutions as Topological Thermodynamic Defects
• Spherical symmetry in $f(R)$-gravity
• Generalized energy conditions in Extended Theories of Gravity
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Cosmological implications of modified gravity induced by quantum metric fluctuations
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• Nonlinear Electromagnetic Fields As a Source of Universe Acceleration
• Thermodynamic topology of black Holes in f(R) gravity
• Static and spherically symmetric wormholes in metric-affine theories of gravity
• Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics
• Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics
• Remarks on Heisenberg-Euler-type electrodynamics
• New rotating AdS/dS black holes in $\mathrm{f}(\mathrm{R})$ gravity
• Uniqueness of non-trivial spherically symmetric black hole solution in special classes of F(R) gravitational theory
• Thermodynamics of black hole in $D$-dimensional $f(R)$ theory
• Logarithmic gravity model

Cited by in corpus (2)

• Topology of black hole thermodynamics: A brief review
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity