The Raychaudhuri equation for spinning test particles

Understand

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.