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

Astronomy and Astrophysics – Astrophysics

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Cosmology, Gravitational Fields, Newton Theory, Particle Motion, Space-Time Functions, Drag, Force Distribution, Free Fall, Relativistic Theory, Rotating Bodies

Scientific 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 Λ. In the higher order of approximation, the relativistic correction terms due to rotation and the presence of Λ 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.

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