Bonn 2010 – wissenschaftliches Programm
GR 17.1: Hauptvortrag
Freitag, 19. März 2010, 08:30–09:10, JUR K
Canonical formulation of spinning objects in General Relativity — •Jan Steinhoff — Theoretisch-Physikalisches Institut, FSU Jena
The extension of the canonical formalism of Arnowitt, Deser and Misner from point-masses to spinning objects is a long standing problem in General Relativity. Two independent approaches to a solution of this problem are given in this talk. The first is based on an explicit order-by-order construction of the canonical formalism within the post-Newtonian approximation scheme, using the pole-dipole stress-energy tensor of spinning objects. Here the global Poincaré algebra is the important consistency condition. The second approach is based on an action functional and is similar to the original derivation of Arnowitt, Deser and Misner for non-spinning objects. A comparison to the canonical formulation of the Dirac field coupled to gravity is made. As an application, spin and quadrupole contributions to next-to-leading order in the post-Newtonian approximation scheme are presented.