Classical and Quantum Analysis of Repulsive Singularities in Four Dimensional Extended Supergravity

TL;DR

This paper analyzes the classical and quantum behavior of repulsive singularities in four-dimensional extended supergravity, showing that scalar particles are reflected by these singularities and exploring their properties at different energy levels.

Contribution

It provides a detailed classical and quantum analysis of repulsons in supergravity, revealing their repulsive nature and particle reflection characteristics.

Findings

Scalar particles are totally reflected at the origin.

High-frequency particles experience a phase shift of π/2.

Curvature singularity is transparent to scalar test-particles.

Abstract

Non--minimal repulsive singularities (``repulsons'') in extended supergravity theories are investigated. The short distance antigravity properties of the repulsons are tested at the classical and the quantum level by a scalar test--particle. Using a partial wave expansion it is shown that the particle gets totally reflected at the origin. A high frequency incoming particle undergoes a phase shift of $\frac{\pi}{2}$. However, the phase shift for a low--frequency particle depends upon the physical data of the repulson. The curvature singularity at a finite distance $r_h$ turns out to be transparent for the scalar test--particle and the coordinate singularity at the origin serves as a repulsive barrier at which particles bounce off.