Berlin 2014 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 12: Classical theory of General Relativity II
GR 12.1: Talk
Tuesday, March 18, 2014, 15:25–15:45, SPA SR220
Dynamics of spinning particles in curved geometry — •Daniela Kunst1, Volker Perlick1, and Claus Lämmerzahl1,2 — 1Center of Applied Space Technology and Microgravity (ZARM), University Bremen, Bremen, Germany — 2University of Oldenburg, Oldenburg, Germany
Based on a recently developed Hamiltonian approach [1] we consider the dynamics of spinning particles in curved geometry, in particular in Schwarzschild and Kerr spacetime. The chosen framework is linearised in the spin of the particle and uses the Newton-Wigner supplementary condition to close the system of differential equations. When Schwarzschild spacetime is considered in spherical coordinates some peculiar coordinate effects arise which can be eliminated by changing to isotropic coordinates. Thus, when we look at Kerr there is a probability that it inherits these coordinate effects. For this reason, we aim to rewrite the Hamiltonian into the Kerr-Schild cartesian coordinates to compare the results with the ones obtained in Boyer-Lindquist coordinates.
Additionally, we intend to investigate and characterise the dynamics of spinning particles employing methods of KAM and chaos theory. These results can then be compared to studies of such systems with different assumptions, e.g. with other spin supplementary conditions.
[1] E. Barausse, E. Racine, and A. Buonanno, Phys. Rev. D 80, 104025 (2009)