Gravitational Deflection of Massive Particles in Second Post-Minkowskian Approximation of Scalar-tensor Theory

Astronomy and Astrophysics – Astrophysics

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Celestial Mechanics, Relativity Theory, Gravitation, Methods: Analytical

Scientific paper

Many alternative theories have been proposed, among which the scalar-tensor theory is the most interesting one, because it is the simplest and most natural way to modify general relativity, and stands all kinds of tests. With the ever-increasing precision of experiment and astrophysical observation, the second post-Newtonian approximation of relevant theories of gravity are needed, and some observed effects to that order are also needed. We use the metric coefficients and the equation of motion obtained in the second post-Minkowskian approximation of scalar-tensor theory to derive the trajectories of massive particles to that order for the unbounded case. The deflection angle is obtained and compared with previous works.

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