Resolution of curvature singularities from quantum mechanical and loop perspective

Abstract

We analyze the persistence of curvature singularities when analyzed using quantum theory. First, quantum test particles obeying the Klein-Gordon and Chandrasekhar-Dirac equation are used to probe the classical timelike naked singularity.

We show that the classical singularity is felt even by our quantum probes. Next, we use loop quantization to resolve a singularity hidden beneath the horizon.

The singularity is resolved in this case.

Keywords

• quasi-regular spacetimes
• global monopole
• gravity