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  (2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame.

Louko, J., & Matschull, H.-J. (2000). (2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame. Classical and Quantum Gravity, 17(8), 1847-1873. doi:10.1088/0264-9381/17/8/307.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5723-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5724-2
Genre: Journal Article

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9908025v2.pdf (Preprint), 438KB
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 Creators:
Louko, Jorma1, Author
Matschull, Hans-Jürgen, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We formulate and analyse the Hamiltonian dynamics of a pair of massive spinless point particles in (2 + 1)-dimensional Einstein gravity by anchoring the system to a conical infinity, isometric to the infinity generated by a single massive but possibly spinning particle. The reduced phase space Gamma red has dimension four and topology BbbR 3 × S 1 .Gamma red is analogous to the phase space of a Newtonian two-body system in the centre-of-mass frame, and we find on Gamma red a canonical chart that makes this analogue explicit and reduces to the Newtonian chart in the appropriate limit. Prospects for quantization are commented on.

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Language(s): eng - English
 Dates: 2000-04-21
 Publication Status: Published in print
 Pages: -
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 Rev. Method: -
 Identifiers: eDoc: 206208
URI: http://arxiv.org/abs/gr-qc/9908025
Other: arXiv:gr-qc/9908025v2
DOI: 10.1088/0264-9381/17/8/307
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 17 (8) Sequence Number: - Start / End Page: 1847 - 1873 Identifier: ISSN: 0264-9381