Gauge symmetry and gravito-electromagnetism

@article{Clark2000GaugeSA,
  title={Gauge symmetry and gravito-electromagnetism},
  author={S Clark and Robin W. Tucker},
  journal={Classical and Quantum Gravity},
  year={2000},
  volume={17},
  pages={4125-4157}
}
A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to emulate electromagnetic gauge transformations under substitutions belonging to the gauge symmetry group of perturbative gravitation. These definitions have the advantage that on a flat background, with the aid of a covariantly constant timelike vector field… 
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