6533b836fe1ef96bd12a0ae4
RESEARCH PRODUCT
(2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame
Jorma LoukoHans-juergen Matschullsubject
PhysicsHamiltonian mechanicsPhysics and Astronomy (miscellaneous)One-dimensional spaceFOS: Physical sciencesConical surfaceGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyQuantization (physics)symbols.namesakeKepler problemPhase spacesymbolsNewtonian fluidEinsteinMathematical physicsdescription
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 \Gamma_{red} has dimension four and topology R^3 x 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-08-08 |