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arXiv · hep-th/9912024

Quantum gravity corrections to the Schwarzschild mass

Marco Cavaglia·Carlo Ungarelli
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Abstract

Vacuum spherically symmetric Einstein gravity in $N\ge 4$ dimensions can be cast in a two-dimensional conformal nonlinear sigma model form by first integrating on the $(N-2)$-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 mass and to the radius of the $(N-2)$-dimensional (hyper)sphere, respectively. By quantizing perturbatively the theory we estimate the quantum corrections to the ADM mass of a black hole.

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Marco Cavaglia, Carlo Ungarelli. 1999-12-03. Quantum gravity corrections to the Schwarzschild mass. https://doi.org/10.1103/physrevd.61.064019

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