Instabilities of Naked Singularities and Black Hole Interiors in General Relativity

GUSVATO DOTTI; REINALDO J. GLEISER; JORGE PULLIN; IGNACIO FRANCISCO RANEA SANDOVAL; HÉCTOR VUCETICH

Joao Pessoa

Seminario; 7th Friedmann Seminar; 2009

Metrics representing black holes in General Relativity may exhibit naked singularities for certain values of their parameters. This is the case for super-extremal ($J^2 > M^2>0$) Kerr and super-extremal ($|Q|>M>0$) Reissner-Nördstrom spacetimes, and also for the negative mass Schwarzschild spacetime. We review our recent work where we show that these nakedly singular spacetimes are unstable under linear gravitational perturbations, a result that supports the cosmic censorship conjecture, and also that the inner stationary region beyond the inner horizon of a Kerr black hole ($J^2 <M^2$) is linearly unstable.