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

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

2012-03-05

arxiv.org/abs/1203.0898v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

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.

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