Gravity and Electromagnetism with $Y(R)F^2$-type Coupling and Magnetic Monopole Solutions

Abstract

We investigate $Y(R)F^2$-type coupling of electromagnetic fields to gravity. After we derive field equations by a first order variational principle from the Lagrangian formulation of the non-minimally coupled theory, we look for static, spherically symmetric, magnetic monopole solutions. We point out that the solutions can provide possible geometries which may explain the flatness of the observed rotation curves of galaxies.

10 pages

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Cited by in corpus (12)

• Regular Black Hole Solutions of the Non-minimally Coupled $Y(R)F^2$ 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
• Compact Stars in the Non-minimally Coupled Electromagnetic Fields to Gravity
• Electromagnetic Duality and New Solutions of the Non-minimally Coupled Y(R)-Maxwell Gravity
• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Anisotropic Stars in the Non-minimal $Y(R)F^2$ Gravity
• Anisotropic cosmological solutions to the $Y(R)F^2$ gravity
• The non-minimally coupled symmetric teleparallel gravity with electromagnetic field
• Inflation of the Universe by the Non-minimal $Y(R)F^2$ Models
• Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
• Gravastars in a Non-minimally Coupled Gravity with Electromagnetism