Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 54, p. 35-38 (2016)

The body motion in gravitational field of a spherically symmetrical configuration with scalar field in General relativity

V. Zhdanov, Dr. Sci., Prof.
Astronomical Observatory of Taras Shevchenko National University of Kyiv,
O. Stashko, student, Physical Dept.
Taras Shevchenko National University of Kyiv
Abstract
We study exact special solutions of the joint system of Einstein equations and scalar field equations with a non-zero self-interaction potential, which describe spherically symmetric static configurations. The space-time is asymptotically flat with a naked singularity at the center. The testbody motion is analyzed; we found conditions for existence of non-connected regions of stable circular orbits. We show the existence of static trajectories of particles that hang above the configuration.

Keywords
Gravitational field, scalar field

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