Particles on a Circle in Canonical Lineal Gravity

Details Particles on a Circle in Canonical Lineal Gravity Particles on a Circle in Canonical Lineal Gravity

2001-05-02

arxiv.org/abs/gr-qc/0105008v1

Class.Quant.Grav. 18 (2001) 3427-3462

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

51 pages, 24 eps figures, latex

Scientific paper

10.1088/0264-9381/18/17/306

A description of the canonical formulation of lineal gravity minimally coupled to N point particles in a circular topology is given. The Hamiltonian is found to be equal to the time-rate of change of the extrinsic curvature multiplied by the proper circumference of the circle. Exact solutions for pure gravity and for gravity coupled to a single particle are obtained. The presence of a single particle significantly modifies the spacetime evolution by either slowing down or reversing the cosmological expansion of the circle, depending upon the choice of parameters.

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