6533b85bfe1ef96bd12bb65d
RESEARCH PRODUCT
The 2 + 1 Kepler problem and its quantization
Hans-juergen MatschullJorma Loukosubject
PhysicsPhysics and Astronomy (miscellaneous)SpacetimeFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyGeneral Relativity and Quantum Cosmologysymbols.namesakeQuantization (physics)Classical mechanicsPhase spaceKepler problemsymbolsQuantum gravityPoint (geometry)EinsteinPlanck lengthdescription
We study a system of two pointlike particles coupled to three dimensional Einstein gravity. The reduced phase space can be considered as a deformed version of the phase space of two special-relativistic point particles in the centre of mass frame. When the system is quantized, we find some possibly general effects of quantum gravity, such as a minimal distances and a foaminess of the spacetime at the order of the Planck length. We also obtain a quantization of geometry, which restricts the possible asymptotic geometries of the universe.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-03-23 | Classical and Quantum Gravity |