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

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

1999-08-08

arxiv.org/abs/gr-qc/9908025v2

Class.Quant.Grav. 17 (2000) 1847-1873

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages, REVTeX v3.1 with amsfonts and epsf, 12 eps figures. (v2: Presentational improvement, references added, typos correct

Scientific paper

10.1088/0264-9381/17/8/307

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.

Affiliated with

Also associated with

No associations

Rating

(2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with (2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and (2+1)-dimensional Einstein-Kepler problem in the centre-of-mass frame will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318570