Dynamics of a charged spinning particle in a Reissner-Nordström geometry

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Dynamics of a charged spinning particle in a Reissner-Nordström geometry

Type: Master thesis
Title: Dynamics of a charged spinning particle in a Reissner-Nordström geometry
Author: Vis, Jorinde van de
Issue Date: 2015-08-31
Keywords: General relativity
Reissner-Nordström black hole
Spinning particle
Innermost stable circular orbit
Hamiltonian formalism
Abstract: We study the dynamics of a charged spinning particle in a Reissner-Nordström geometry using the hamiltonian formalism. We use covariant instead of canonical momentum and a worldline along which the spin tensor is covariantly constant. We find the equations of motion as well as the constants of motion and give a full characterization of the circular orbits for a minimal hamiltonian. We study the spin and charge dependence of the innermost stable circular orbit. In the last part we introduce a non-minimal hamiltonian, including spin-spin interaction and an interaction between the spin tensor and the electromagnetic field. We show that the conserved quantities that we found with the minimal hamiltonian are still constants of motion.
Supervisor: Holten, Jan-Willem van
Faculty: Faculty of Science
Department: Physics (Master)
ECTS Credits: 6
Handle: http://hdl.handle.net/1887/37086
 

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