Phys. Rev. Lett. 98, 121102 (2007) [4 pages]Helically Symmetric N-Particle Solutions in Scalar GravityReceived 5 December 2006; published 23 March 2007 Within a scalar model theory of gravity, where the interaction between particles is given by the half-retarded plus 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.121102
DOI:
10.1103/PhysRevLett.98.121102
PACS:
04.25.−g, 03.50.Kk, 04.25.Nx, 95.10.Ce
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