Solutions of deformed three-dimensional gravity

Abstract

We investigate the gauging of a three-dimensional deformation of the anti-de Sitter algebra, which accounts for the existence of an invariant energy scale. By means of the Poisson sigma model formalism, we obtain explicit solutions of the field equations, which reduce to the BTZ black hole in the undeformed limit.

15 pages, LaTeX

References in corpus (3)

• Gravity from Lie algebroid morphisms
• Two-dimensional gravity with an invariant energy scale
• Two-dimensional gravity with an invariant energy scale and arbitrary dilaton potential