Electrostatic and Magnetostatic Solutions in a Lorentz-Violating Electrodynamics Model

Abstract

We propose an effective Lorentz violating electrodynamics model via static de Sitter metric which is deviated from Minkowski metric by a minuscule amount depending on the cosmological constant. We obtain the electromagnetic field equations via the vierbein decomposition of the tensors. In addition, as an application of the electromagnetic field equations obtained, we get the solutions of electrostatic field and magnetostatic field due to a point charge and a circle current respectively and discussed the implication of the effect of Lorentz violation in our electromagnetic theory.

13 pages

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Cited by in corpus (13)

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• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
• Field sources in a Lorentz symmetry breaking scenario with a single background vector
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Parity-odd and CPT-even electrodynamics of the SME at Finite Temperature
• Influence of Lorentz-violating terms on a two-level system
• Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario
• One-loop Schwinger effect in the presence of Lorentz-violating background fields