Teichmuller Motion of (2+1)-dimensional Gravity With the Cosmological Constant
Aug, 198925 pages
Published in:
- Prog.Theor.Phys. 83 (1990) 733-748
DOI:
Report number:
- RRK-89-30
Citations per year
Abstract: (Oxford Journals)
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.- gravitation
- dimension: 3
- cosmological constant
- Hamiltonian formalism
- field theory: constraint
- field theory: torus
- field theory: sphere
- time
- Riemann surface
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