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Phys. Rev. D 61, 064019 (2000) [9 pages]

Quantum gravity corrections to the Schwarzschild mass

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Marco Cavaglià*
Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany
Departamento de Fisica, Universidade da Beira Interior, R. Marquês d’Ávila e Bolama, 6200 Covilhã, Portugal

Carlo Ungarelli†
Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany

Received 8 September 1999; published 25 February 2000

Vacuum spherically symmetric Einstein gravity in N>~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 (ADM) 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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.064019
DOI:
10.1103/PhysRevD.61.064019
PACS:
04.60.-m, 04.62.+v, 04.70.Dy

*Email address: cavaglia@mercury.ubi.pt

†Present address: School of Computer Science and Mathematics, University of Portsmouth, Mercantile House, Hampshire Terrace, Portsmouth P01 2EG, United Kingdom; email address: ungarell@aei-potsdam.mpg.de

 
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