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GT4 - Inertial Forces, Optical Metrics and Particle Motion Properties

Speaker_

Yunt, Elif

Co-autors

Ozdemir, Nese

 Talk_

Spinning particle in Vaidya-de Sitter spacetime

Abstract_

The equation of motion of a spinning pointlike test particle in a gravitational field is first derived by Mathisson-Papapetrou (MP) by means of velocity, momentum and anti-symmetric spin tensor of the test particle. To get complete set of solutions of MP equations supplementary conditions are necessary: The center of mass velocity condition S^ti=0, Dixon condition P_mn=0$ and (3) U_m S^mn=0. In this work, the effect of the cosmological constant on the spin equation and differences to the motion of the particle coming from the cosmological term are studied. The motion of a spinning particle in Vaidya-de Sitter spacetime is examined. Then, circular motion of the test particles calculated for Schwarzshild, Kerr spacetimes are carried to the spacetimes Schwarzshild-de Sitter, Kerr-de Sitter spacetimes. 

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