A Hosoya and K Nakao 1990 Class. Quantum Grav. 7 163 doi:10.1088/0264-9381/7/2/010
A Hosoya and K Nakao
Show affiliationsThe (2+1)-dimensional pure Einstein gravity is studied in the ADM formalism. The authors solve the initial value and the time evolution problems with a closed Riemann surface being an initial surface, choosing the time slicing so that the trace of the extrinsic curvature is independent of spatial coordinates. The possible topology of the 2-surface is either a torus or a Riemann surface of genus g>or=2. It is shown that the moduli parameters of the torus follow the geodesic curve in the moduli space.
02.40.-k Geometry, differential geometry, and topology
04.20.Ex Initial value problem, existence and uniqueness of solutions
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 2 (February 1990)
A Hosoya and K Nakao 1990 Class. Quantum Grav. 7 163
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