Non-Relativistic Gravitation: From Newton to Einstein and Back

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dc.creatorKol, Barak
dc.creatorSmolkin, Michael
dc.date2007-12-26
dc.date2008-07-23
dc.date.accessioned2026-07-07T11:54:51Z
dc.date.available2026-07-07T11:54:51Z
dc.descriptionWe 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.
dc.description10 pages, 3 figures. v2: published version. v3: Added a computation of Einstein-Infeld-Hoffmann in higher dimensions within our improved ClEFT which partially confirms and partially corrects a previous computation. See notes added at end of introduction
dc.identifierhttps://arxiv.org/abs/0712.4116
dc.identifierhttp://arxiv.org/abs/0712.4116
dc.identifierClass.Quant.Grav.25:145011,2008
dc.identifierdoi:10.1088/0264-9381/25/14/145011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205053
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNon-Relativistic Gravitation: From Newton to Einstein and Back
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