Gravitoelectromagnetic analogy based on tidal tensors

@article{Costa2008GravitoelectromagneticAB,
  title={Gravitoelectromagnetic analogy based on tidal tensors},
  author={L. Filipe O. Costa and Carlos A. R. Herdeiro},
  journal={Physical Review D},
  year={2008},
  volume={78},
  pages={024021}
}
We propose a new approach to a physical analogy between general relativity and electromagnetism, based on tidal tensors of both theories. Using this approach we write a covariant form for the gravitational analogues of the Maxwell equations, which makes transparent both the similarities and key differences between the two interactions. The following realizations of the analogy are given. The first one matches linearized gravitational tidal tensors to exact electromagnetic tidal tensors in… Expand
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