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Quantum geometry and the Schwarzschild singularity

Abhay AshtekarIsaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH, UKMartin BojowaldIsaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH, UK
2005en
ABI

Abstract

In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad-hoc elements such as unphysical matter. The same effects are shown to lead to a resolution of the Schwarzschild singularity. The resulting quantum extension of space-time is likely to have significant implications to the black hole evaporation process. Similarities and differences with the situation in quantum geometrodynamics are pointed out.

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