Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-01-30
Gen.Rel.Grav. 36 (2004) 2171-2173
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
2 pages, no figs, RevTex, submitted to GRG
Scientific paper
10.1023/B:GERG.0000038631.91084.
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.
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