Time-dependent solutions of 2+1 gravity

Details Time-dependent solutions of 2+1 gravity Time-dependent solutions of 2+1 gravity

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvl..64.2222w&link_type=abstract

Physical Review Letters, Volume 64, Issue 19, May 7, 1990, pp.2222-2225

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Exact Solutions, Lattice Gauge Theory

Scientific paper

Time-dependent solutions of 2+1 gravity are found for N particles on a sphere with g handles. The theory is reduced to a constrained Hamiltonian system with a finite number of global observables. These include three-vectors that give the spacetime position of each particle, and others that are related to the Teichmüller parameters. With these global observables, the dynamical equations (d2xidt2=0) decouple. The cases of the torus and uniformly expanding sphere with N sources are shown to agree with solutions from the metric formulation.

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