PT6 - Dynamics of extended test objects -- equations of motion and their solution |
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Speaker |
Singh, Dinesh |
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| Talk Title |
MPD Particle Motion in Perturbed Space-Time Backgrounds |
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Abstract |
This presentation entails an exploration of Mathisson-Papapetrou-Dixon (MPD) particle motion in perturbed space-time 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 two-body 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 Einstein-Cartan interaction with induced torsion, yielding an instantaneous Riemann-Cartan 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 self-force effects due to both particle mass and spin, and also account for radiation reaction to leading-order in the space-time perturbation. |
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