Helically symmetric N-particle solutions in scalar gravity.
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.
Beig
Robert
R
Gravitational Physics, Faculty of Physics, University of Vienna, A-1090 Vienna, Austria. Robert.Beig@univie.ac.at
Heinzle
J Mark
JM
Schmidt
Bernd G
BG