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arXiv · 1602.03067

Uniform Acceleration in General Relativity

Yaakov Friedman·Tzvi Scarr
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Abstract

We extend de la Fuente and Romero's defining equation for uniform acceleration in a general curved spacetime from linear acceleration to the full Lorentz covariant uniform acceleration. In a flat spacetime background, we have explicit solutions. We use generalized Fermi-Walker transport to parallel transport the Frenet basis along the trajectory. In flat spacetime, we obtain velocity and acceleration transformations from a uniformly accelerated system to an inertial system. We obtain the time dilation between accelerated clocks. We apply our acceleration transformations to the motion of a charged particle in a constant electromagnetic field and recover the Lorentz-Abraham-Dirac equation.

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Yaakov Friedman, Tzvi Scarr. 2016-02-08. Uniform Acceleration in General Relativity. https://doi.org/10.1007/s10714-015-1966-5

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