Directional Quantum Singularities in Curzon Spacetime

Abstract

The scalar quantum probe method developed by Horowitz and Marolf is applied to the cylindrically symmetric Curzon solution. The main cause for choosing the Curzon solution is that it is the best known example that exhibits directional singularity. Interestingly the singularity at $r=0$, for the uncharged Curzon spacetime, which is classically very strong with a divergence rate of the order $\frac{1}{r^{10}}$ becomes regular when examined using scalar quantum field. The charged Curzon spacetime, however, due to the emergence of a second singularity off the $r=0$ singularity does not regularize quantum mechanically. All three different charged versions, i.e. electric, magnetic and dyonic share the same feature.

References in corpus (15)

• Quantum geometry and the Schwarzschild singularity
• Who's Afraid of Naked Singularities?
• Cylindrical Systems in General Relativity
• Quantum gravitational collapse: non-singularity and non-locality
• Geodesic completeness and the lack of strong singularities in effective loop quantum Kantowski-Sachs spacetime
• Non-local (but also non-singular) physics at the last stages of gravitational collapse
• Schrodinger formalism, black hole horizons and singularity behavior
• Quantum singularity of Levi-Civita spacetimes
• Von-Neumann Stability and Singularity Resolution in Loop Quantized Schwarzschild Black Hole
• Quantum Singularities in Horava-Lifshitz Cosmology
• Quantum Singularities in Static Spacetimes
• Quantum probes of timelike naked singularities in the weak field regime of $f(R)$ global monopole spacetime
• Quantum Geometry and its Implications for Black Holes
• Quantum Probe of Hořava-Lifshitz Gravity
• Probing naked singularities in the charged and uncharged $\gamma$-metrics with quantum wave packets