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arXiv · gr-qc/9908025

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

Jorma Louko·Hans-Juergen Matschull
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Abstract

We formulate and analyze 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 Γ_{red} has dimension four and topology R^3 x S^1. Γ_{red} is analogous to the phase space of a Newtonian two-body system in the centre-of-mass frame, and we find on Γ_{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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Jorma Louko, Hans-Juergen Matschull. 2000-03-06. (2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame. https://doi.org/10.1088/0264-9381%2F17%2F8%2F307

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