Spinning Particle as a Non-trivial Rotating Super Black Hole with Broken N=2 Supersymmetry

TL;DR

This paper explores a supergravity extension of the Kerr-Newman solution, incorporating broken N=2 supersymmetry, resulting in novel super black hole geometries with torsion, wave contributions, and unique singularity structures.

Contribution

It introduces a supergeneralization of the Kerr-Newman solution with broken N=2 supersymmetry, revealing new super black hole geometries with torsion and wave effects.

Findings

Super-Kerr geometries with Grassmann variables analyzed

Existence of super black hole solutions with torsion and wave contributions

Identification of axial singularities and wave phenomena near singularities

Abstract

Non-trivial supergeneralization of the Kerr-Newman solution is considered as representing a combined model of the Kerr-Newman spinning particle and superparticle. We show that the old problem of obtaining non-trivial super black hole solutions can be resolved in supergravity broken by Goldstone fermion. Non-linear realization of broken N=2 supersymmetry specific for the Kerr geometry is considered and some examples of the super-Kerr geometries generated by Goldstone fermion are analyzed. The resulting geometries acquire torsion, Rarita-Schwinger field and extra wave contributions to metric and electromagnetic field caused by Grassmann variables. One family of the self-consistent super-Kerr-Newman solutions to broken N=2 supergravity is selected, and peculiarities of these solutions are discussed. In particular, the appearance of extra `axial' singular line and traveling waves concentrated near `axial' and ring-like singularities.