Singularity Avoidance of Charged Black Holes in Loop Quantum Gravity |
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Authors: | Mojtaba Taslimi Tehrani Hoshang Heydari |
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Institution: | 1. Department of Physics, Stockholm University, 10691, Stockholm, Sweden
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Abstract: | Based on spherically symmetric reduction of loop quantum gravity, quantization of the portion interior to the horizon of a Reissner-Nordström black hole is studied. Classical phase space variables of all regions of such a black hole are calculated for the physical case M 2>Q 2. This calculation suggests a candidate for a classically unbounded function of which all divergent components of the curvature scalar are composed. The corresponding quantum operator is constructed and is shown explicitly to possess a bounded operator. Comparison of the obtained result with the one for the Schwarzschild case shows that the upper bound of the curvature operator of a charged black hole reduces to that of Schwarzschild at the limit Q→0. This local avoidance of singularity together with non-singular evolution equation indicates the role quantum geometry can play in treating classical singularity of such black holes. |
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