Mass Quadrupole as a Source of Naked Singularities

TL;DR

This paper explores how static mass quadrupoles can produce naked singularities with repulsive gravity effects, affecting test particles and accretion disk structures, challenging traditional black hole models.

Contribution

It demonstrates that quadrupole moments can lead to naked singularities with unique gravitational properties, expanding understanding of gravitational field configurations.

Findings

Presence of curvature singularities without event horizons.

Naked singularities exhibit effective repulsive gravity.

Accretion disks around naked singularities show discontinuous structures.

Abstract

We investigate the gravitational field of a static mass with quadrupole moment in empty space. It is shown that in general this configuration is characterized by the presence of curvature singularities without a surrounding event horizon. These naked singularities generate an effective field of repulsive gravity which, in turn, drastically changes the behavior of test particles. As a possible consequence, the accretion disk around a naked singularity presents a particular discontinuous structure.