Regular Black Hole Solutions of the Non-minimally Coupled $Y(R)F^2$ Gravity

Abstract

In this study we investigate regular black hole solutions of the non-minimally coupled $Y(R)F^2$ gravity model. We give two regular black hole solutions and the corresponding non-minimal model for both electrically or magnetically charged cases. We calculate all the energy conditions for these solutions.

11 pages, some typos are corrected

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• Compact Stars in the Non-minimally Coupled Electromagnetic Fields to Gravity
• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Remarks on regular black holes
• Anisotropic Stars in the Non-minimal $Y(R)F^2$ Gravity
• The effect of vacuum polarization on the magnetic fields around a Schwarzschild black hole
• On the Non-Minimal Coupling of Magnetic Fields with Gravity in Schwarzschild Spacetime
• Inflation of the Universe by the Non-minimal $Y(R)F^2$ Models
• The non-minimally coupled symmetric teleparallel gravity with electromagnetic field
• General Relativity coupled with Non-Linear Electrodynamics: results and limitations
• Wormholes in the Non-minimally Coupled Gravity with Electromagnetism
• A model of regular black hole satisfying the Weak Energy Condition
• Gravastars in a Non-minimally Coupled Gravity with Electromagnetism