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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Helically symmetric N-particle solutions in scalar gravity
Robert Beig1, J Mark Heinzle, Bernd G Schmidt
1Gravitational Physics, Faculty of Physics, University of Vienna, A-1090 Vienna, Austria. Robert.Beig@univie.ac.at
Physical Review Letters
|May 16, 2007
Summary
This study proves a unique equilibrium configuration exists for N particles in helical motion within a scalar gravity model. The equilibrium radius is explicitly calculated using a post-Newtonian expansion for gravitational interactions.
Area of Science:
- Theoretical physics
- Gravitational dynamics
Background:
- Scalar gravity models offer alternative frameworks to General Relativity.
- Understanding N-body dynamics is crucial for celestial mechanics and cosmology.
Purpose of the Study:
- To investigate equilibrium configurations in a scalar gravity model.
- To analyze the helical motion of N particles forming an equilateral N-gon.
- To compute the equilibrium radius within a post-Newtonian expansion.
Main Methods:
- Utilizing a scalar model of gravity with half-retarded plus half-advanced solutions.
- Applying N-body problem analysis to particles in helical motion.
- Performing calculations within a post-Newtonian expansion framework.
Main Results:
- Existence of a unique equilibrium configuration for N particles.
- Explicit computation of the equilibrium radius for such configurations.
- Demonstration of stable helical motion in this scalar gravity model.
Conclusions:
- The scalar gravity model supports unique, stable N-body equilibrium configurations.
- Post-Newtonian expansion provides a viable method for calculating gravitational dynamics.
- This work contributes to the theoretical understanding of alternative gravity theories.
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