New perturbative method for solving the gravitational N-body problem in the general theory of relativity

DOI10.1142/S021827181550039XzbMath1319.70010arXiv1304.8122OpenAlexW3106402797WikidataQ125385597 ScholiaQ125385597MaRDI QIDQ2943434

Viktor T. Toth, Slava G. Turyshev

Publication date: 3 September 2015

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.8122

zbMATH Keywords

\(N\)-body problempost-Newtonian approximationrelativistic reference framesgeneral theory of relativity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) (n)-body problems (70F10) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

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