Singularity avoidance of charged black holes in loop quantum gravity
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
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.
General relativity, Singularity, Charged black holes, Loop quantum gravity
IdentifiersURN: urn:nbn:se:su:diva-83020DOI: 10.1007/s10773-012-1248-xISI: 000309858800030OAI: oai:DiVA.org:su-83020DiVA: diva2:574426