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Phys. Rev. D 78, 067501 (2008) [4 pages]

Stability of the Schwarzschild interior in loop quantum gravity

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Christian G. Böhmer1,* and Kevin Vandersloot2,†
1Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
2Institute of Cosmology & Gravitation, University of Portsmouth, Portsmouth PO1 2EG, UK

Received 18 July 2008; published 2 September 2008

In recent work, the Schwarzschild interior of a black hole was investigated, incorporating quantum gravitational modifications due to loop quantum gravity. The central Schwarzschild singularity was shown to be replaced by a Nariai type universe. In this brief report we show that this interior solution is stable with respect to small perturbations, in contrast to the classical Nariai universe.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.067501
DOI:
10.1103/PhysRevD.78.067501
PACS:
04.60.Pp, 03.65.Sq, 04.70.Bw, 98.80.Qc

*c.boehmer@ucl.ac.uk

kevin.vandersloot@port.ac.uk