$2+1-$维幂律时空中类时裸奇点的量子探测
Quantum probes of timelike naked singularities in $2+1-$ dimensional power - law spacetimes
摘要：
从量子力学的角度考虑了线性Einstein-Maxwell和Einstein-scalar理论中分别由方位对称电场和自相互作用实标量场引起的$2+1-$维幂律时空中裸奇点的形成.本文利用符合Klein-Gordon方程和Dirac方程的量子测试场来探测在$r=0$上发展的经典类时裸奇点。我们证明了当经典奇异时空用标量波探测时，所考虑的时空仍然是奇异的。然而，自相互作用实标量场度规中奇异性的旋波探测仍然是量子正则的。本研究的显著结果是量子正则性/奇异性不能与能量条件相联系。
英文摘要：
The formation of naked singularities in $2+1-$ dimensional power - law spacetimes in linear Einstein-Maxwell and Einstein-scalar theories sourced by azimuthally symmetric electric field and a self-interacting real scalar field respectively, are considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon and Dirac equations are used to probe the classical timelike naked singularities developed at $r=0$. We show that when the classically singular spacetimes probed with scalar waves, the considered spacetimes remains singular. However, the spinorial wave probe of the singularity in the metric of a self-interacting real scalar field remains quantum regular. The notable outcome in this study is that the quantum regularity/singularity can not be associated with the energy conditions.
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