Qualitative behaviour of the trajectories of test bodies in five-dimensional spherically-symmetric gravitational field

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitation Theory, Gravitational Effects, Gravitational Fields, Trajectory Analysis, Black Holes (Astronomy), Grand Unified Theory, Schwarzschild Metric, Space-Time Functions, Supergravity, Symmetry

Scientific paper

Qualitative behaviour of the trajectories of test bodies is investigated in the five-dimensional gravitation theory for the spherically-symmetric solution. The Binnet formula is obtained for the trajectory. The region of the existence of circular trajectories as well as the regions of their stability are specially investigated using the method of numerical calculations. The values of the free parameters in the five-dimensional gravitation theory are estimated for the solar system.

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