Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-05-10
Phys.Rev.D82:065012,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, 2 color figures, version accepted in Physical Review D
Scientific paper
10.1103/PhysRevD.82.065012
The well-known analogy between a special limit of General Relativity and electromagnetism is explored in the context of the Lorentz-violating Standard-Model Extension (SME). An analogy is developed for the minimal SME that connects a limit of the CPT-even component of the electromagnetic sector to the gravitational sector. We show that components of the post-newtonian metric can be directly obtained from solutions to the electromagnetic sector. The method is illustrated with specific examples including static and rotating sources. Some unconventional effects that arise for Lorentz-violating electrostatics and magnetostatics have an analog in Lorentz-violating post-newtonian gravity. In particular, we show that even for static sources, gravitomagnetic fields arise in the presence of Lorentz violation.
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