Gravitational instabilities in black hole interiors and naked singularities

G. DOTTI; R. J. GLEISER; I.F.RANEA-SANDOVAL; H. VUCETICH

Joao Pessoa, Brasil

Congreso; 7th Alexander Friedmann International Seminar on Gravitation and Cosmology; 2008

Metrics representing black holes in General Relativity may exhibitnaked singularities for certain values of their parameters. This is  the case for super-extremal($J^2 > M>0$) Kerr  and  super-extremal ($|Q|>M>0$) Reissner-N"ordstrom spacetimes,and also for thenegative mass Schwarzschild spacetime. We review our recent work where we showthat these nakedly singular spacetimes are unstable underlinear gravitational perturbations, a result that supports the cosmic censorshipconjecture, and  also  that the inner stationary region beyond the inner horizonof a Kerr black hole ($J^2 <M$) is linearly unstable.