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Phys. Rev. D 76, 104030 (2007) [11 pages]

Loop quantum dynamics of the Schwarzschild interior

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Christian G. Böhmer1,2,* and Kevin Vandersloot2,3,†
1Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom
2Institute of Cosmology & Gravitation, University of Portsmouth, Portsmouth PO1 2EG, United Kingdom
3Institute for Gravitational Physics and Geometry, Physics Department, Pennsylvania State University, University Park, Pennsylvania 16802, USA

Received 14 September 2007; published 16 November 2007

We examine the Schwarzschild interior of a black hole, incorporating quantum gravitational modifications due to loop quantum gravity. We consider an improved loop quantization using techniques that have proven successful in loop quantum cosmology. The central Schwarzschild singularity is resolved and the implications for the fate of an in-falling test particle in the interior region is discussed. The singularity is replaced by a Nariai type universe. We discuss the resulting conformal diagram, providing a clear geometrical interpretation of the quantum effects.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.104030
DOI:
10.1103/PhysRevD.76.104030
PACS:
04.60.Pp, 03.65.Sq, 04.70.Bw, 98.80.Qc

*c.boehmer@ucl.ac.uk

kevin.vandersloot@port.ac.uk