Instability of charged and rotating naked singularities,

G. DOTTI, R. GLEISER Y J. PULLIN

PHYSICS LETTERS B

ELSEVIER SCIENCE BV

Año: 2007 vol. 644 p. 289 - 293

0370-2693

We provide evidence that “super-extremal” black hole spacetimes (either with charge larger than mass or angular momentum larger than mass),which contain naked singularities, are unstable under linearized perturbations. This is given by an infinite family of exact unstable solutions in thecharged non-rotating case, and by a set of (unstable) numerical solutions in the rotating case. These results may be relevant to the expectation thatthese spacetimes cannot be the endpoint of physical gravitational collapse.© 2006 Elsevier B.V. All rights reserved.