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Newtonian analogue of force and motion of a free particle in the gravitational field of Kerr-de Sitter space-time

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Abstract

In the first part of the paper the Newtonian analogue of force for the Kerr-de Sitter metric has been investigated. To the first-order of approximation, a component of the force vector corresponds to the Newtonian gravitational force and a cosmic force arising due to the cosmological constant A. Int the higher order of approximation, the relativistic correction terms due to rotation and the presence of A are obtained. In the second part of the paper the motion of a freely-falling body has been investigated. It is found that plane orbits are not possible. Also a radial fall is not possible and there is a rotational drag on the particle which has no Newtonian analogue.

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Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India

    T. Singh & R. S. Srivastava

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  1. T. Singh
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  2. R. S. Srivastava
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Singh, T., Srivastava, R.S. Newtonian analogue of force and motion of a free particle in the gravitational field of Kerr-de Sitter space-time. Astrophys Space Sci 139, 263–273 (1987). https://doi.org/10.1007/BF00644355

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  • DOI: https://doi.org/10.1007/BF00644355

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