The Raychaudhuri equation for spinning test particles
arXiv:1502.07833 · doi:10.1007/s10714-015-1868-6
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.
9 pages, 3 eps figures
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