Ray optics in the field of non-minimal Dirac monopole

Abstract

Based on the analogy with non-minimal SU(2) symmetric Wu-Yang monopole with regular metric, the solution describing a non-minimal U(1) symmetric Dirac monopole is obtained. In order to take into account the curvature coupling of gravitational and electromagnetic fields, we reconstruct the effective metrics of two types: the so-called associated and optical metrics. The optical metrics display explicitly that the effect of birefringence induced by curvature takes place in the vicinity of the non-minimal Dirac monopole; these optical metrics are studied analytically and numerically.

arXiv comment10 pages, 4 figures, submitted to Gravitation & Cosmology

References in corpus (6)

• Analogue Gravity
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Theoretical and Experimental Status of Magnetic Monopoles
• Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations
• Non-minimal Wu-Yang monopole
• Optical metrics and birefringence of anisotropic media

Cited by in corpus (1)

• Non-minimal monopoles of the Dirac type as realization of the censorship conjecture