Non-relativistic gravitation: from Newton to Einstein and back
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Publication:3516241
DOI10.1088/0264-9381/25/14/145011zbMATH Open1180.83019arXiv0712.4116OpenAlexW3105926272WikidataQ57319289 ScholiaQ57319289MaRDI QIDQ3516241
Author name not available (Why is that?)
Publication date: 1 August 2008
Published in: (Search for Journal in Brave)
Abstract: 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 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 term corresponds to a single Feynman diagram providing a clear physical interpretation. Spin interactions are dominated by the exchange of the gravito-magnetic field. Leading correction diagrams corresponding to the 3PN correction to the spin-spin interaction and the 2.5PN correction to the spin-orbit interaction are presented.
Full work available at URL: https://arxiv.org/abs/0712.4116
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