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Journal Article

Helically symmetric N-particle solutions in scalar gravity

MPS-Authors

Schmidt,  Bernd G.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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prl98_121102.pdf
(Publisher version), 133KB

0612066v2.pdf
(Preprint), 138KB

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Citation

Beig, R., Heinzle, J. M., & Schmidt, B. G. (2007). Helically symmetric N-particle solutions in scalar gravity. Physical Review Letters, 98(12): 121102.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4869-0
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.