Variational principle for particle motion in the non-symmetric gravitation theory

Physics

Scientific paper

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Gravitation Theory, Particle Motion, Space-Time Functions, Variational Principles, Equations Of Motion, Hamiltonian Functions, Lagrange Multipliers, Many Body Problem

Scientific paper

The Lagrangian and Hamiltonian for the post-Newtonian N-body equations of motion have been derived within the context of nonsymmetric gravitation theory. It is shown that this Lagrangian may be obtained in the standard way using a generalization of a variational principle along with the calculation method employed in metric theory. The present method is found to correctly reproduce the equations of motion for a test particle in a static spherically symmetric field.

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