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On the nature of the force acting on a charged classical particle\n deviated from its geodesic path in a gravitational field

Vesselin Petkov

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Abstract

In general relativity the gravitational field is a manifestation of spacetime\ncurvature and unlike the electromagnetic field is not a force field. A particle\nfalling in a gravitational field is represented by a geodesic worldline which\nmeans that no force is acting on it. If the particle is at rest in a\ngravitational field, however, its worldline is no longer geodesic and it is\nsubjected to a force. The nature of that force is an open question in general\nrelativity. The aim of this paper is to outline an approach toward resolving it\nin the case of classical charged particles which was initiated by Fermi in\n1921.\n

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In general relativity the gravitational field is a manifestation of spacetime\ncurvature and unlike the electromagnetic field is not a force field. A particle\nfalling in a gravitational field is represented by a geodesic worldline which\nmeans that no force is acting on it. If the particle is at rest in a\ngravitational field, however, its worldline is no longer geodesic and it is\nsubjected to a force. The nature of that force is an open question in general\nrelativity. The aim of this paper is to outline an approach toward resolving it\nin the case of classical charged particles which was initiated by Fermi in\n1921.\n

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Available abstract

In general relativity the gravitational field is a manifestation of spacetime\ncurvature and unlike the electromagnetic field is not a force field. A particle\nfalling in a gravitational field is represented by a geodesic worldline which\nmeans that no force is acting on it. If the particle is at rest in a\ngravitational field, however, its worldline is no longer geodesic and it is\nsubjected to a force. The nature of that force is an open question in general\nrelativity. The aim of this paper is to outline an approach toward resolving it\nin the case of classical charged particles which was initiated by Fermi in\n1921.\n

Key concepts: Physics, Gravitational field, Geodesic, Classical mechanics, General relativity, Gravitation, Curvature, Two-body problem in general relativity

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