A nonminimally coupled Einstein-Maxwell model in a non-Riemann space-time with torsion

Abstract

A system of field equations for an Einstein-Maxwell model with $R{F}^2$-type nonminimal coupling in a non-Riemannian space-time with a non-vanishing torsion is derived and the resulting field equations are expressed in terms of the Riemannian quantities based on a metric with a Lorentzian signature. The torsion is generated by the gradients of the electromagnetic field invariants. An electromagnetic constitutive tensor is introduced in the formulation of the field equations.

1+10 pages, minor corrections to the text, published version

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Cited by in corpus (6)

• Radiation Fluid Stars in the Non-minimally Coupled $Y(R)F^2$ Gravity
• Compact Stars in the Non-minimally Coupled Electromagnetic Fields to Gravity
• Comparing metric and Palatini approaches to vector Horndeski theory
• Electric Charge Screening By Non-Minimal Couplings Of Electromagnetic Fields To Gravity
• Gravastars in a Non-minimally Coupled Gravity with Electromagnetism
• Non-Minimally Coupled Einstein-Yang-Mills Field Equations and Wu-Yang Monopoles in Bertotti-Robinson Spacetimes