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Mass Quadrupole as a Source of Naked Singularities

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.

preprint2010arXivOpen access
Hernando Quevedo
gr-qc
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Hernando Quevedo

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