Static self-gravitating many-body systems in Einstein gravity

DOI10.1088/0264-9381/26/16/165007zbMATH Open1173.83008arXiv0905.1243OpenAlexW1973330037MaRDI QIDQ3395599

Lars Andersson, Bernd G. Schmidt

Publication date: 11 September 2009

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: We consider the problem of constructing static, elastic, many-body systems in Einstein gravity. The solutions constructed are deformations of static many-body configurations in Newtonian gravity. No symmetry assumptions are made.

Full work available at URL: https://arxiv.org/abs/0905.1243

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (5)

Collisionless self-gravitating statistical systems of scalarly interacting particles ⋮ Statistical Mechanics of Infinite Gravitating Systems ⋮ The stationary state and gravitational temperature in a pure self-gravitating system ⋮ On the lowest energy state of a collisionless self-gravitating system under phase space volume constraints ⋮ Exact self-gravitating \(N\)-body motion in the CGHS model

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