The Quantum Regularization of Singular Black-Hole Solutions in Covariant Quantum Gravity |
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Authors: | Massimo Tessarotto Claudio Cremaschini |
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Institution: | 1.Department of Mathematics and Geosciences, University of Trieste, Via Valerio 12, 34127 Trieste, Italy;2.Research Center for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám.13, CZ-74601 Opava, Czech Republic; |
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Abstract: | An excruciating issue that arises in mathematical, theoretical and astro-physics concerns the possibility of regularizing classical singular black hole solutions of general relativity by means of quantum theory. The problem is posed here in the context of a manifestly covariant approach to quantum gravity. Provided a non-vanishing quantum cosmological constant is present, here it is proved how a regular background space-time metric tensor can be obtained starting from a singular one. This is obtained by constructing suitable scale-transformed and conformal solutions for the metric tensor in which the conformal scale form factor is determined uniquely by the quantum Hamilton equations underlying the quantum gravitational field dynamics. |
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Keywords: | quantum gravity space-time singular solutions quantum regularization |
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