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arXiv · 1502.07833

The Raychaudhuri equation for spinning test particles

Morteza Mohseni
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Abstract

We obtain generalized Raychaudhuri equations for spinning test particles corresponding to congruences of particle's world-lines, momentum, and spin. These are physical examples of the Raychaudhuri equation for a non-normalized vector, unit time-like vector, and unit space-like vector. We compute and compare the evolution of expansion-like parameters associated with these congruences for spinning particles confined in the equatorial plane of the Kerr space-time.

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Morteza Mohseni. 2015-02-27. The Raychaudhuri equation for spinning test particles. https://doi.org/10.1007/s10714-015-1868-6

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