PhD thesis
Dissertation, Friedrich-Schiller-Universität, Jena, 2010. This thesis was submitted in June 2011. Cite as Ann. Phys. (Berlin) 523, 296-353 (2011).
published version in Ann. Phys. (Berlin) 523, 296-353 (2011)
arXiv version
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Abstract
The present thesis aims at an extension of the canonical formalism of Arnowitt,
Deser, and Misner from self-gravitating point-masses to objects with spin.
This would allow interesting applications, e.g., within the post-Newtonian (PN) approximation.
The extension succeeded via an action approach to linear order in the single
spins of the objects without restriction to any further approximation.
An order-by-order construction within the PN approximation is possible and
performed to the formal 3.5PN order as a verification.
In principle both approaches are applicable to higher orders in spin.
The PN next-to-leading order spin(1)-spin(1) level was tackled, modeling the
spin-induced quadrupole deformation by a single parameter.
All spin-dependent Hamiltonians for rapidly rotating
bodies up to and including 3PN are calculated.