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Particles on a Circle in Canonical Lineal Gravity

R. B. Mann
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Abstract

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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R. B. Mann. 2001-05-02. Particles on a Circle in Canonical Lineal Gravity. https://doi.org/10.1088/0264-9381%2F18%2F17%2F306

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