https://doi.org/10.1140/epjc/s10052-009-1047-6
Regular Article - Theoretical Physics
Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
1
Departamento de Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, São Luís, MA, 65085-580, Brazil
2
Departamento de Ciências Exatas, Centro Federal de Educação Tecnológica do Maranhão, São Luís, Maranhão, 65025-001, Brazil
* e-mail: manojr07@ibest.com.br
Received:
6
February
2009
Revised:
19
April
2009
Published online:
26
May
2009
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, an Earth-based experiment is presented that can lead (in principle) to an upper bound on the anisotropic coefficients as stringent as
PACS: 11.30.Cp – / 12.60.-i – / 41.20.-q – / 41.20.Cv –
© Springer-Verlag , 2009