Perturbation of higher-genus surfaces in (2+1)-dimensional gravity with a cosmological constant

Mathematics – Logic

Scientific paper

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Canonical Formalism, Lagrangians, And Variational Principles, Riemannian Geometries

Scientific paper

We study the motion of global degrees of freedom in (2+1)-dimensional
Einstein gravity with a cosmological constant by a perturbation method.
We find that the moduli parameters of the higher-genus two-surfaces move
along geodesic curves and stop asymptotically as the three-dimensional
universe expands.

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