Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-06-21
Ann. Phys. (Berlin) 523:296 (2011)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
59 pages. Dissertation, Friedrich-Schiller-Universit\"at, Jena, 2010. This thesis was submitted in June 2010. Cite as Ann. Phy
Scientific paper
10.1002/andp.201000178
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.
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