Poincare-invariant gravitational field and equations of motion of two pointlike objects - The postlinear approximation of general relativity

Physics

Scientific paper

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Approximation, Equations Of Motion, Gravitational Fields, Relativity, Two Body Problem, Einstein Equations, Gravitational Effects, Particle Interactions, Stress Tensors

Scientific paper

Using a fast-motion approximation method, the second-order gravitational field and equations of motion for two point-like objects in algebraically closed form, is obtained. A regularization procedure is used which is shown to guarantee the consistency of the approximation scheme. The equations of motion are then transformed within the framework of relativistic predictive mechanics into a system of ordinary differential equations.

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