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Lorentz-Violating Gravitoelectromagnetism, Quentin G. Bailey
Lorentz-Violating Gravitoelectromagnetism, Quentin G. Bailey
Physics & Astronomy - Prescott
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. An analogy is developed for the minimal standard-model extension 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 …
Lorentz Violation With An Antisymmetric Tensor, Brett Altschul, Quentin G. Bailey, V. Alan Kostelecký
Lorentz Violation With An Antisymmetric Tensor, Brett Altschul, Quentin G. Bailey, V. Alan Kostelecký
Physics & Astronomy - Prescott
Field theories with spontaneous Lorentz violation involving an antisymmetric 2-tensor are studied. A general action including nonminimal gravitational couplings is constructed, and features of the Nambu- Goldstone and massive modes are discussed. Minimal models in Minkowski spacetime exhibit dualities with Lorentz-violating vector and scalar theories. The post-Newtonian expansion for nonminimal models in Riemann spacetime involves qualitatively new features, including the absence of an isotropic limit. Certain interactions producing stable Lorentz-violating theories in Minkowski spacetime solve the renormalization-group equations in the tadpole approximation.