Dynamical N-body Equlibrium in Circular Dilaton Gravity

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.

4 pages, latex, reference added, minor changes in wording

References in corpus (7)

• On the relation between Euclidean and Lorentzian 2D quantum gravity
• Emergence of power-law correlation in 1-dimensional self-gravitating system
• Exact Solutions to the Motion of Two Charged Particles in Lineal Gravity
• Exact Solutions of Relativistic Two-Body Motion in Lineal Gravity
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Cited by in corpus (5)

• Chaos in an Exact Relativistic 3-body Self-Gravitating System
• 3-Body Dynamics in a (1+1) Dimensional Relativistic Self-Gravitating System
• Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics
• One-Dimensional Relativistic Self-Gravitating Systems
• Dynamical Charged N-body Equilibrium in Circular Dilaton Gravity