Newtonian analogue of force and motion of a free particle in the graviational field of the C-metric
type: Item
instance of: scholarly article
title: Newtonian analogue of force and motion of a free particle in the graviational field of the C-metric
zbMATH Open document ID: 0664.70029
DOI: 10.1007/BF00640465
author: S. H. Smith
published in: Astrophysics and Space Science
publication date: 1988-01-01T00:00:00Z
review text: The Newtonian analogue of force for the C-metric has been investigated. To the first-order of approximation in the absence of acceleration of the particle generating the C-metric, one component of the force vector corresponds to the Newtonian analogue of force. In general there are relativistic correction terms due to acceleration term in the C-metric. 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.
Mathematics Subject Classification ID: 70H40
Mathematics Subject Classification ID: 83C25
zbMATH DE Number: 4087116
zbMATH Keywords: Newtonian analogue of force
zbMATH Keywords: C-metric
zbMATH Keywords: first-order of approximation
zbMATH Keywords: absence of acceleration
zbMATH Keywords: relativistic correction terms
zbMATH Keywords: inertial frame
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4087116