Non-relativistic gravitation: from Newton to Einstein and back

@article{Kol2008NonrelativisticGF,
  title={Non-relativistic gravitation: from Newton to Einstein and back},
  author={Barak Kol and Michael Smolkin},
  journal={Classical and Quantum Gravity},
  year={2008},
  volume={25},
  pages={145011}
}
  • B. Kol, M. Smolkin
  • Published 26 December 2007
  • Physics
  • Classical and Quantum Gravity
We present an improvement to the classical effective theory approach to the non-relativistic or post-Newtonian approximation of general relativity. The 'potential metric field' is decomposed through a temporal Kaluza–Klein ansatz into three non-relativistic gravity (NRG) fields: a scalar identified with the Newtonian potential, a 3-vector corresponding to the gravito-magnetic vector potential and a 3-tensor. The derivation of the Einstein–Infeld–Hoffmann Lagrangian simplifies such that each… 
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