Teichmüller Motion of (2+1)-Dimensional Gravity with the Cosmological Constant

Details Teichmüller Motion of (2+1)-Dimensional Gravity with the Cosmological Constant Teichmüller Motion of (2+1)-Dimensional Gravity with the Cosmological Constant

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990pthph..83..733f&link_type=abstract

Progress of Theoretical Physics, Vol. 83, No. 4, pp. 733-748

Physics

20

Scientific paper

The (2+1)-dimensional Einstein gravity with a cosmological constant is studied in the ADM canonical formalism. Adopting York's time slice, we completely solve the initial-value problem and the time evolution equations with an initla spacelike 2-surface being a closed Riemann surface of genus zero and one. The result in a torus case is that the Teichmüller parameters for the torus follow a geodesic in the Teichmüller space but its motion asymptotically stops due to the presence of the cosmological constant.

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