Quantum gravity corrections to the Schwarzschild mass

Details Quantum gravity corrections to the Schwarzschild mass Quantum gravity corrections to the Schwarzschild mass

1999-12-03

arxiv.org/abs/hep-th/9912024v1

Phys.Rev.D61:064019,2000

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 8 figures, LaTeX2e, uses epsfig package, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.064019

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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