Mass Quadrupole as a Source of Naked Singularities

Details Mass Quadrupole as a Source of Naked Singularities Mass Quadrupole as a Source of Naked Singularities

2010-12-17

arxiv.org/abs/1012.4030v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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.

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