Static self-gravitating many-body systems in Einstein gravity

TL;DR

This paper develops models of static, elastic, many-body systems within Einstein gravity, extending Newtonian configurations without assuming symmetry, to better understand gravitational interactions in relativistic settings.

Contribution

It introduces a method to construct static, elastic many-body solutions in Einstein gravity as deformations of Newtonian configurations, without symmetry constraints.

Findings

Successfully constructed static many-body solutions in Einstein gravity.

Extended Newtonian configurations to relativistic regimes.

Provided a framework for analyzing elastic systems in general relativity.

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.