Quantum singularities in a model of f(R) gravity

被引：12
|
作者：
Gurtug, O. [1 ]
Tahamtan, T. [1 ]
机构：
[1] Eastern Mediterranean Univ, Dept Phys, N Cyprus 10, Mersin, Turkey
来源：
EUROPEAN PHYSICAL JOURNAL C | 2012年 / 72卷 / 07期
关键词：
Black Hole Solution; Naked Singularity; Maxwell Field; Deficiency Index; Quantum Singularity;
D O I：
10.1140/epjc/s10052-012-2091-1
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
The formation of a naked singularity in a model of f (R) gravity having as source a linear electromagnetic field is considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon, Dirac and Maxwell equations are used to probe the classical timelike naked singularity developed at r = 0. We prove that the spatial derivative operator of the fields fails to be essentially self-adjoint. As a result, the classical timelike naked singularity remains quantum mechanically singular when it is probed with quantum fields having different spin structures.
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页数：9
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