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Singularity avoidance of charged black holes in loop quantum gravity
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2012 (English)In: International journal of theoretical physics, ISSN 0020-7748, E-ISSN 1572-9575, Vol. 51, no 11, 3614-3626 p.Article in journal (Refereed) Published
Abstract [en]

Based on spherically symmetric reduction of loop quantum gravity, quantization of the portion interior to the horizon of a Reissner-Nordstrom 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.

Place, publisher, year, edition, pages
2012. Vol. 51, no 11, 3614-3626 p.
Keyword [en]
General relativity, Singularity, Charged black holes, Loop quantum gravity
National Category
Physical Sciences
URN: urn:nbn:se:su:diva-83020DOI: 10.1007/s10773-012-1248-xISI: 000309858800030OAI: diva2:574426


Available from: 2012-12-05 Created: 2012-12-03 Last updated: 2012-12-05Bibliographically approved

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Heydari, Hoshang
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