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Journal Article

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

MPS-Authors

Louko,  Jorma
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

9908025v2.pdf
(Preprint), 438KB

cqg17_8_1847.pdf
(Publisher version), 733KB

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Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5723-4
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.