Quantum Singularities in Static Spacetimes

Abstract

We review the mathematical framework necessary to understand the physical content of quantum singularities in static spacetimes. We present many examples of classical singular spacetimes and study their singularities by using wave packets satisfying Klein-Gordon and Dirac equations. We show that in many cases the classical singularities are excluded when tested by quantum particles but unfortunately there are other cases where the singularities remain from the quantum mechanical point of view. When it is possible we also find, for spacetimes where quantum mechanics does not exclude the singularities, the boundary conditions necessary to turn the spatial portion of the wave operator into self-adjoint and emphasize their importance to the interpretation of quantum singularities.

14 pages, section Quantum Singularities has been improved

References in corpus (6)

• The Black Hole in Three Dimensional Space Time
• Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
• Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics
• Who's Afraid of Naked Singularities?
• Quantum Singularities Around a Global Monopole
• Quantum singularities in the BTZ spacetime

Cited by in corpus (10)

• Quantum Singularities in Horava-Lifshitz Cosmology
• Quasinormal modes for the scattering on a naked Reissner-Nordstrom singularity
• Quantum singularities in static and conformally static space-times
• Quantum singularities in spherically symmetric, conformally static spacetimes
• Probing naked singularities in the charged and uncharged $\gamma$-metrics with quantum wave packets
• Quantum Probe of Hořava-Lifshitz Gravity
• Quantum Scattering on a Cone revisited
• Quantum Probe of Time-like Naked Singularities for Electrically and Magnetically Charged Black Holes in a Model of Nonlinear Electrodynamics
• Stable and decaying bound states on the naked Reissner-Nordström background
• Directional Quantum Singularities in Curzon Spacetime