Non-relativistic gravitation: from Newton to Einstein and back
By B. Kol, M. Smolkin. 2007
148 citations recorded by the source corpus.
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 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.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/ee6840f331b93528e3aeb180cb1b50eabbfe0503
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In Applied Mathematics
In Astronomy and Astrophysics
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Citations in the corpus
- Spinning gravitating objects in the effective field theory in the post-Newtonian scheme (2015, methodology): “Similar to [20, 28] we use here the NRG fields [25, 26], and the related tetrad field in the time gauge introduced in section 5.”
- Black hole stereotyping: induced gravito-static polarization (2011, methodology): “In the static limit it is convenient to use the Non-Relativistic Gravitational (NRG) field decomposition [4, 18], namely a temporal KK reduction, which replaces the Einstein field gμν by three fields: the Newtonian potential φ, the gravito-magnetic vector potential Ai and the spatial metric γij acco”
- The Effective Field Theorist's Approach to Gravitational Dynamics (2016, methodology): “Most of these computations were carried out using the metric decomposition introduced in [215].”