Skip to content

Dynamical N-body Equlibrium in Circular Dilaton Gravity

R. Kerner, R. B. Mann

gr-qcarXiv:gr-qc/0206029

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.

Create a lesson