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Title: Lorentz-violating gravitoelectromagnetism

Abstract

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 for static sources, gravitomagnetic fields arise in the presence of Lorentz violation.

Authors:
 [1]
  1. Physics Department, Embry-Riddle Aeronautical University, 3700 Willow Creek Road, Prescott, Arizona 86301 (United States)
Publication Date:
OSTI Identifier:
21421194
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 82; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.82.065012; (c) 2010 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTROMAGNETISM; ELECTROSTATICS; GENERAL RELATIVITY THEORY; GRAVITATION; LORENTZ INVARIANCE; MATHEMATICAL SOLUTIONS; METRICS; STANDARD MODEL; FIELD THEORIES; GRAND UNIFIED THEORY; INVARIANCE PRINCIPLES; MAGNETISM; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; RELATIVITY THEORY; UNIFIED GAUGE MODELS

Citation Formats

Bailey, Quentin G. Lorentz-violating gravitoelectromagnetism. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.065012.
Bailey, Quentin G. Lorentz-violating gravitoelectromagnetism. United States. https://doi.org/10.1103/PHYSREVD.82.065012
Bailey, Quentin G. 2010. "Lorentz-violating gravitoelectromagnetism". United States. https://doi.org/10.1103/PHYSREVD.82.065012.
@article{osti_21421194,
title = {Lorentz-violating gravitoelectromagnetism},
author = {Bailey, Quentin G},
abstractNote = {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 for static sources, gravitomagnetic fields arise in the presence of Lorentz violation.},
doi = {10.1103/PHYSREVD.82.065012},
url = {https://www.osti.gov/biblio/21421194}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 82,
place = {United States},
year = {Wed Sep 15 00:00:00 EDT 2010},
month = {Wed Sep 15 00:00:00 EDT 2010}
}