Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-09-20
Class.Quant.Grav. 23 (2006) 5587-5602
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, latex. We introduce and we calculate the spectrum of the operator 1/|E|
Scientific paper
10.1088/0264-9381/23/18/006
In this paper we consider the Kantowski-Sachs space-time in Ashtekar variables and the quantization of this space-time starting from the complete loop quantum gravity theory. The Kanthowski-Sachs space-time coincides with the Schwarzschild black hole solution inside the horizon. By studying this model we can obtain information about the black hole singularity and about the dynamics across the point r=0. We studied this space-time in ADM variables in two previous papers where we showed that the classical black hole singularity disappears in quantum theory. In this work we study the same model in Ashtekar variables and we obtain a regular space-time inside the horizon region and that the dynamics can be extend further the classical singularity.
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