Helically symmetric N-particle solutions in scalar gravity

Abstract

Within a scalar model theory of gravity, where the interaction between particles is given by the half-retarded + half-advanced solution of the scalar wave equation, we consider an N-body problem: we investigate configurations of N particles which form an equilateral N-angle and are in helical motion about their common center. We prove that there exists a unique equilibrium configuration and compute the equilibrium radius explicitly in a post-Newtonian expansion.

5 pages, 1 figure; minor corrections and changes; accepted for publication in Physical Review Letters

References in corpus (3)

• Binary black hole spacetimes with a helical Killing vector
• Models of helically symmetric binary systems
• Post-Minkowski action for point particles and a helically symmetric binary solution

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• Numerical study of the Kerr solution in rotating coordinates