Derives Frenet-Serret equations for relativistic motion with variable proper acceleration and torsion, relating parameters to four-jerk and four-snap via Gram-Schmidt tetrad, with analytic examples.
Stationary Worldline Power Distributions
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abstract
A worldline with a time-independent spectrum is called stationary. Such worldlines are arguably the most simple motions in physics. Barring the trivially static motion, the non-trivial worldlines are uniformly accelerated. As such, a point charge moving along a stationary worldline will emit constant radiative power. The angular distribution, maximum angle scaling and Thomas precession of this power is found for all stationary worldlines including those with torsion and hypertorsion.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Frenet-Serret equations with variable proper acceleration in Minkowski spacetime
Derives Frenet-Serret equations for relativistic motion with variable proper acceleration and torsion, relating parameters to four-jerk and four-snap via Gram-Schmidt tetrad, with analytic examples.