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Helically symmetric N-particle solutions in scalar gravity

Robert Beig·J. Mark Heinzle·Bernd G. Schmidt
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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.

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Robert Beig, J. Mark Heinzle, Bernd G. Schmidt. 2007-03-13. Helically symmetric N-particle solutions in scalar gravity. https://doi.org/10.1103/physrevlett.98.121102

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