Normal forces in stationary spacetimes

DOI10.1023/B:GERG.0000038631.91084.92zbMATH Open1061.83009arXivgr-qc/0401123OpenAlexW1975442249MaRDI QIDQ702000

Richard H. Price

Publication date: 17 January 2005

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Abstract: For geodesic motion of a particle in a stationary spacetime the $U_0$ component of particle 4-velocity is constant and is considered to be a conserved mechanical energy. We show that this concept of a conserved mechanical energy can be extended to particles that move under the influence of a ``normal force, a force that, in the stationary frame, is orthogonal to the motion of the particle. We illustrate the potential usefulness of the concept with a simple example.

Full work available at URL: https://arxiv.org/abs/gr-qc/0401123

zbMATH Keywords

energyParticle motion

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Equations of motion in general relativity and gravitational theory (83C10)

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