Vacuum solutions with non-trivial boundaries in Einstein-Gauss-Bonnet theories

J. OLIVA; G. DOTTI; R. TRONCOSO

Joao Pessoa

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

Metrics representing black holes in General Relativity may exhibit naked singularities for certain values of their parameters. This is the case for super-extremal (J2 > 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 (J2 < M) is linearly unstable.