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

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.

20 pages, 14 figures

References in corpus (8)

• Black Hole Entropy in M-Theory
• Black Holes and Solitons in String Theory
• Stationary solutions of N=2 supergravity
• Moving Moduli, Calabi-Yau Phase Transitions and Massless BPS Configurations in Type II Superstrings
• Wrapped Branes and Supersymmetry
• N = 2 Supersymmetric Quantum Black Holes in Five Dimensional Heterotic String Vacua
• Gauge Symmetry Enhancement and N = 2 Supersymmetric Quantum Black Holes in Heterotic String Vacua
• Quantum Probes of Repulsive Singularities in N = 2 Supergravity

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• Reissner-Nordstrom Expansion
• Violation of the Carter-Israel conjecture and its astrophysical implications