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Dynamical N-body Equlibrium in Circular Dilaton Gravity

R. Kerner·R. B. Mann
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Abstract

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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R. Kerner, R. B. Mann. 2002-06-24. Dynamical N-body Equlibrium in Circular Dilaton Gravity. https://doi.org/10.1088/0264-9381%2F20%2F9%2F102

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