Vacuum energy in asymptotically flat 2+1 gravity
Olivera Miskovic, Rodrigo Olea, Debraj Roy
TL;DR
This paper calculates the vacuum energy of three-dimensional asymptotically flat space using a Chern-Simons approach, finding it matches the energy of the flat limit of AdS space, with implications for understanding gravitational energy in lower dimensions.
Contribution
It provides a novel computation of vacuum energy in 3D flat space via Chern-Simons formulation, linking it to AdS space results.
Findings
Vacuum energy equals that of the flat limit of AdS space.
Uses Chern-Simons formulation for Poincare group.
Derives energy from Noether charges in the vacuum.
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.
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