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arXiv · 0812.1813

Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension

Rodolfo Casana·Manoel M. Ferreira Jr·A. R. Gomes·Paulo R. D. Pinheiro
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Abstract

In this work, we focus on some properties of the parity-even sector of the CPT-even electrodynamics of the standard model extension. We analyze how the six non-birefringent terms belonging to this sector modify the static and stationary classical solutions of the usual Maxwell theory. We observe that the parity-even terms do not couple the electric and magnetic sectors (at least in the stationary regime). The Green's method is used to obtain solutions for the field strengths E and B at first order in the Lorentz- covariance-violating parameters. Explicit solutions are attained for point-like and spatially extended sources, for which a dipolar expansion is achieved. Finally, it is presented an Earth-based experiment that can lead (in principle) to an upper bound on the anisotropic coefficients as stringent as $(\widetildeκ_{e-}) ^{ij}<2.9\times10^{-20}.$

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Rodolfo Casana, Manoel M. Ferreira Jr, A. R. Gomes, Paulo R. D. Pinheiro. 2009-06-25. Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension. https://doi.org/10.1140/epjc%2Fs10052-009-1047-6

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