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Stability of the Schwarzschild Interior in Loop Quantum Gravity

arXiv:0807.3042 · doi:10.1103/PhysRevD.78.067501

Abstract

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.

4 pages, 4 figures; references added, minor modifications