Newtonian analogue of force and motion of a free particle in the gravitational field of the C-metric

Details Newtonian analogue of force and motion of a free particle in the gravitational field of the C-metric Newtonian analogue of force and motion of a free particle in the gravitational field of the C-metric

Nov 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ap%26ss.149...53s&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 149, no. 1, Nov. 1988, p. 53-62.

Astronomy and Astrophysics

Astrophysics

Gravitational Fields, Metric Space, Newton Theory, Particle Motion, Relativity, Free Fall, Orbit Calculation, Particle Acceleration, Vacuum

Scientific paper

In the first part of the paper the Newtonian analogue of force for the C-metric has been investigated. In general there are relativistic correction terms due to acceleration term in the C-metric. 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 the radial fall is not possible and in the equation of the orbit there are terms having no classical analogue. They can be interpreted as the effect of the dragging of the inertial frame produced by the rectilinear acceleration.

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