Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-12-11
Phys.Rev.Lett.98:121102,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 1 figure; minor corrections and changes; accepted for publication in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.98.121102
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.
Beig Robert
Heinzle Mark J.
Schmidt Bernd G.
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