Perturbation of higher-genus spatial surfaces in (2+1)-dimensional gravity

Details Perturbation of higher-genus spatial surfaces in (2+1)-dimensional gravity Perturbation of higher-genus spatial surfaces in (2+1)-dimensional gravity

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46..572o&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 2, 15 July 1992, pp.572-577

Physics

3

Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

We study dynamical evolutions of spatial surfaces with genus g>=2 in (2+1)-dimensional pure Einstein gravity by the perturbation analysis around static moduli solutions. We find that an action of the perturbed Teichmüller parameters has a harmonic-oscillator form with a time-dependent mass and frequency. It is also shown that a set of the static moduli solutions is an attractor of nearby solutions.

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