BHT1 - Strong Fields and Particle Physics in Astrophysics |
Speaker |
Igata, Takahisa |
Co-autors |
Hideki Ishihara, Tatsuhiko Koike |
Talk Title |
Killing Tensors and Conserved Quantities of a Relativistic Pariticle in External Fields |
Abstract |
We discuss geometrical properties of a spacetime which admits constants of motion for a relativistic particle, which is a constrainted system because of the reparametrization invariance, moving in external fields. We formulate hierarchical equations which are the condition for the existence of the conserved quantities. These are interpreted as a generalization of the Killing equation to the particle systems in the external fields. We apply it to charged particle systems as a specific case, and we show explicit forms of the conserved quantities of a charged particle moving in four- and five-dimensional charged black holes by solving the hierarchical equations. |
Talk view |
|
|