Non-minimal $R^{\beta }{F}^2$-Coupled Electromagnetic Fields to Gravity and Static, Spherically Symmetric Solutions

Abstract

We investigate non-minimal $R^{\beta }{F}^2$-type couplings of electromagnetic fields to gravity. We derive the field equations by a first order variational principle using the method of Lagrange multipliers. Then we present various static, spherically symmetric solutions describing the exterior fields in the vicinity of electrically charged massive bodies.

9 pages

References in corpus (8)

• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• On the way from matter-dominated era to dark energy universe
• Model for gravity at large distances
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
• Non-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions
• Non-minimal monopoles of the Dirac type as realization of the censorship conjecture

Cited by in corpus (18)

• Regular Black Hole Solutions of the Non-minimally Coupled $Y(R)F^2$ Gravity
• Gravity and Electromagnetism with $Y(R)F^2$-type Coupling and Magnetic Monopole Solutions
• Anisotropic inflation with a non-minimally coupled electromagnetic field to gravity
• Radiation Fluid Stars in the Non-minimally Coupled $Y(R)F^2$ Gravity
• A nonminimally coupled Einstein-Maxwell model in a non-Riemann space-time with torsion
• Electromagnetic Duality and New Solutions of the Non-minimally Coupled Y(R)-Maxwell Gravity
• Compact Stars in the Non-minimally Coupled Electromagnetic Fields to Gravity
• Strong Lensing and Nonminimally Coupled Electromagnetism
• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Non-minimal $R{F}^2$-type corrections to holographic superconductor
• Anisotropic cosmological solutions to the $Y(R)F^2$ gravity
• Inflation of the Universe by the Non-minimal $Y(R)F^2$ Models
• The non-minimally coupled symmetric teleparallel gravity with electromagnetic field
• Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
• Noether gauge symmetry approach applying for the non-minimally coupled gravity to the Maxwell field
• A model of non-minimally coupled gravitation and electromagnetism in (1+2) dimensions
• Holographic Superconductors with the General $R{F}^2$ type Couplings
• Gravastars in a Non-minimally Coupled Gravity with Electromagnetism