PT6  Dynamics of extended test objects  equations of motion and their solution 
Speaker 
Singh, Dinesh 
Coauthors 

Talk Title 
MPD Particle Motion in Perturbed SpaceTime Backgrounds 
Abstract 
This presentation entails an exploration of MathissonPapapetrouDixon (MPD) particle motion in perturbed spacetime backgrounds within two contexts, based upon an analytic perturbative approach to the MPD equations available in the literature. The first context is to examine how a twobody MPD system in the presence of a strong gravitational background interacts with each other in terms of the Raychaudhuri equation, and then separately via the generalized Jacobi equation for tidal dynamics. This context shows how the presence of a neighbouring MPD particle locally generates an EinsteinCartan interaction with induced torsion, yielding an instantaneous RiemannCartan U4 geometry experienced by the second MPD particle. The second context is to describe the motion of a single MPD particle in a gravitationally perturbed background using the variational principle to extract the gravitational selfforce effects due to both particle mass and spin, and also account for radiation reaction to leadingorder in the spacetime perturbation. 
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