Dynamical N-body Equlibrium in Circular Dilaton Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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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.

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