Abstract
Vacuum spherically symmetric Einstein gravity in dimensions can be cast in a two-dimensional conformal nonlinear sigma model form by first integrating on the -dimensional (hyper)sphere and then performing a canonical transformation. The conformal sigma model is described by two fields which are related to the Arnowitt-Deser-Misner (ADM) mass and to the radius of the -dimensional (hyper)sphere, respectively. By quantizing perturbatively the theory we estimate the quantum corrections to the ADM mass of a black hole.
- Received 8 September 1999
DOI:https://doi.org/10.1103/PhysRevD.61.064019
©2000 American Physical Society