Instabilities in Kerr spacetimes

GUSVATO DOTTI; REINALDO J. GLEISER; IGNACIO FRANCISCO RANEA SANDOVAL

Goa

Congreso; 7th International Conference on gravitation and Cosmology; 2011

International Centre for Theoretical Sciences, Tata Institute

In this paper we generalize previous result regarding the stability under gravitational perturbations of superextreme Kerr space-time wich has a naked singularity and black hole interior beyond the Cauchy horizon. To do so we study solutions to the radial and agular Teukolsky?s equations with different spin weight, particulary s = ±1 representing electromagnetic perturbations, s = ±1/2 representing a perturbation by a Dirac field ans s = 0 representig perturbations by a scalar field. By analizing the properties of radial and angular eigenvalues we prove the existence of an infinite family of unstable modes.