Solutions for f(R) gravity coupled with electromagnetic field

Abstract

In the presence of external, linear / nonlinear electromagnetic fields we integrate f(R) \sim R+2α\surd(R+const.) gravity equations. In contrast to their Einsteinian cousins the obtained black holes are non-asymptotically flat with a deficit angle. In proper limits we obtain from our general solution the global monopole solution in f(R) gravity. The scale symmetry breaking term adopted as the nonlinear electromagnetic source adjusts the sign of the mass of the resulting black hole to be physical.

7 pages no figure, final version for publication in European Physical Journal C

References in corpus (4)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Confinement from spontaneous breaking of scale symmetry
• Static potential from spontaneous breaking of scale symmetry

Cited by in corpus (33)

• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
• Accretion disks around black holes in modified strong gravity
• Spherically symmetric black holes in $f(R)$ gravity: Is geometric scalar hair supported ?
• Thermodynamic topology of black Holes in f(R) gravity
• Necessary conditions for having wormholes in f(R) gravity
• Higher Dimensional Inhomogeneous Perfect Fluid Collapse in \emph{f(R)} Gravity
• Lemaitre-Tolman-Bondi dust solutions in f(R) gravity
• Asymptotically Lifshitz black hole solutions in F(R) gravity
• Gravity and Electromagnetism with $Y(R)F^2$-type Coupling and Magnetic Monopole Solutions
• Constant curvature f(R) gravity minimally coupled with Yang-Mills field
• A geometric method of constructing exact solutions in modified f(R,T)-gravity with Yang-Mills and Higgs interactions
• Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes
• Construction of a Holographic Superconductor in F(R) Gravity
• On the compatibility of Nonlinear Electrodynamics models with Robinson--Trautman geometry
• Particle Acceleration by Static Black Holes in a Model of $f(R)$ Gravity
• Quantum singularities in a model of f(R) Gravity
• Modified Rindler acceleration as a nonlinear electromagnetic effect
• Robinson--Trautman solution with nonlinear electrodynamics
• Thin shells in F(R) gravity with non-constant scalar curvature
• Rotating Killing horizons in generic $F(R)$ gravity theories
• Rindler type acceleration in f(R) gravity
• Topological electro-vacuum solutions in extended gravity
• Magnetized cosmological model with variable deceleration parameter
• Beyond Schwarzschild-de Sitter spacetimes: III. A perturbative vacuum with non-constant scalar curvature in $R+R^2$ gravity
• Existence of Reissner-Nordstrom type black holes in f(R) gravity
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Well-posed non-vacuum solutions in Robinson--Trautman geometry
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Black holes in $f(R)$ gravity coupled to nonlinear electromagnetic fields
• Thin-shell wormholes in N-dimensional F(R) gravity
• Density perturbation and cosmological evolution in the presence of magnetic field in $f(R)$ gravity models
• Noether gauge symmetry approach applying for the non-minimally coupled gravity to the Maxwell field