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Speaker |
Singh, Dinesh |
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Talk Title |
Classical Spinning Particle Interactions in Black Hole Space-Time Backgrounds |
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Abstract |
This presentation describes an analytic perturbation approach to the dynamics of a classical spinning particle, according to the Mathisson-Papapetrou-Dixon (MPD) equations of motion, with an application to circular motion around astrophysical black holes. The formalism is established in terms of a power series expansion with respect to the particle's spin magnitude, where the particle's kinematic and dynamical degrees are expressed in a completely general form that can be constructed to infinite order in the expansion parameter. It is further shown that the particle's squared mass and spin magnitude can shift due to a classical analogue of radiative corrections that arise from spin-curvature coupling. The mass and spin shift contributions are dependent on the initial conditions of the particle's spin orientation. Explicit expressions for the MPD equations are determined for the cases of circular motion near the event horizon of both a Kerr black hole, and a radially accreting or radiating Schwarzschild black hole, described in terms of the Vaidya metric. A preliminary analysis of the stability properties of the orbital motion, in both the Kerr and Vaidya backgrounds due to spin-curvature interactions, is also presented. |
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