Dynamical N-body Equlibrium in Circular Dilaton Gravity
R. Kerner, R. B. Mann
TL;DR
This paper presents a new exact equilibrium solution for an N-body problem in a one-dimensional relativistic gravity system, describing a circular spacetime with evenly spaced bodies, advancing understanding of relativistic self-gravitating systems.
Contribution
It introduces a novel class of solutions for the N-body problem in one-dimensional relativistic gravity, generalizable to other dilatonic theories.
Findings
Exact equilibrium solution for N-body problem in 1D relativistic gravity
Applicable to expanding/contracting circular spacetimes
Method generalizable to other dilatonic gravity theories
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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