Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-06-10
Class.Quant.Grav. 20 (2003) L133-L138
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, latex, reference added, minor changes in wording
Scientific paper
We obtain a new exact equilibrium solution to the N-body problem in a one-dimensional relativistic self-gravitating system. It corresponds to an expanding/contracting spacetime of a circle with N bodies at equal proper separations from one another around the circle. Our methods are straightforwardly generalizable to other dilatonic theories of gravity, and provide a new class of solutions to further the study of (relativistic) one-dimensional self-gravitating systems.
Kerner Richard
Mann Robert B.
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