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Motion of a test particle in a nonstationary spherically symmetric gravitational field in flat space-time theory of gravitation

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Abstract

The previously studied 2-post-Newtonian approximation of the gravitational field of a nonstationary spherically symmetric star in flat space-time theory of gravitation is applied to the motion of a test particle in the orbit of the star. The orbit is different from the one of Einstein's general theory of relativity. A general formula for the deviation of the orbit from a circle is given. In the special case of a radially oscillating star, being homogeneous to Newtonian accuracy, the orbit of the test particle also oscillates radially with small amplitude about a fixed orbit (circle).

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Authors and Affiliations

  1. Mathematisches Institut der Heinrich-Heine-Universität Dßsseldorf, Universitätsstraβe 1, D-40225, Düsseldorf, Germany

    Walter Petry

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  1. Walter Petry
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Petry, W. Motion of a test particle in a nonstationary spherically symmetric gravitational field in flat space-time theory of gravitation. Astrophys Space Sci 232, 233–240 (1995). https://doi.org/10.1007/BF00658297

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  • DOI: https://doi.org/10.1007/BF00658297

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