Canonical formulation of spin in general relativity
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Publication:3008481
DOI10.1002/ANDP.201000178zbMATH Open1218.83018arXiv1106.4203OpenAlexW3105269893MaRDI QIDQ3008481
Author name not available (Why is that?)
Publication date: 16 June 2011
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1106.4203
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