Vacuum energy in asymptotically flat 2+1 gravity

Abstract

We compute the vacuum energy of three-dimensional asymptotically flat space based on a Chern-Simons formulation for the Poincare group. The equivalent action is nothing but the Einstein-Hilbert term in the bulk plus half of the Gibbons-Hawking term at the boundary. The derivation is based on the evaluation of the Noether charges in the vacuum. We obtain that the vacuum energy of this space has the same value as the one of the asymptotically flat limit of three-dimensional anti-de Sitter space.

arXiv comment15 pages, no figures; introduction extended, references added

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• On Stabilization of Maxwell-BMS Algebra
• New Spacetimes for Rotating Dust in (2+1)-Dimensional General Relativity
• Constant curvature black holes in Einstein AdS gravity: conserved quantities