Instabilities of naked singularities and black hole interiors in General Relativity

Dotti, Gustavo; Gleiser, Reinaldo J.; Pullin, Jorge; Ranea-Sandoval, Ignacio F.; Vucetich, Héctor

Instabilities of naked singularities and black hole interiors in General Relativity

Authors

Dotti, Gustavo

Gleiser, Reinaldo J.

Pullin, Jorge

Ranea-Sandoval, Ignacio F.

Vucetich, Héctor

Description

Metrics representing black holes in General Relativity may exhibit naked singularities for certain values of their parameters. This is the case for super-extremal ($J^2 > M>0$) 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 ($J^2 <M$) is linearly unstable.
Review talk given at the 7th Friedmann Seminar, Joao Pessoa, Brazil, July 2008