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The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant

Classical and Quantum Gravity · 1995 · Vol. 12(12) · pp. 2961–2966

O. Coussaert✉(Université Libre de Bruxelles)Marc Henneaux(Centro de Estudios Científicos)Peter van Driel(Université Libre de Bruxelles)

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Abstract

Liouville theory is shown to describe the asymptotic dynamics of threedimensional Einstein gravity with a negative cosmological constant. This is because (i) Chern-Simons theory with a gauge group SL(2,R) × SL(2,R) on a space-time with a cylindrical boundary is equivalent to the non-chiral SL(2,R) WZW model; and (ii) the anti-de Sitter boundary conditions implement the constraints that reduce the WZW model to the Liouville theory. I.

Black Holes and Theoretical Physics Cosmology and Gravitation Theories Noncommutative and Quantum Gravity TheoriesPhysicsCosmological constantEinsteinDynamics (music)Constant (computer programming)Mathematical physicsClassical mechanicsEinstein's constantTheoretical physics

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