Instabilities in Kerr Spacetimes

Abstract

We present a generalization of previous results regarding the stability under gravitational perturbations of nakedly singular super extreme Kerr spacetime and Kerr black hole interior beyond the Cauchy horizon. To do so we study solutions to the radial and angular Teukolsky's equations with different spin weights, particulary $s=\pm 1$ representing electromagnetic perturbations, $s=\pm 1/2$ representing a perturbation by a Dirac field and $s=0$ representing 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.

4 pages, proceedings of the First Caribbean Symposium on Nuclear and Astroparticle Physics - STARS2011, La Habana, Cuba, 1-4 May 2011

References in corpus (5)

• Instability of the negative mass Schwarzschild naked singularity
• Instability of charged and rotating naked singularities
• Gravitational instabilities in Kerr space-times
• Gravitational instability of the inner static region of a Reissner-Nordstrom black hole
• Instabilities of naked singularities and black hole interiors in General Relativity

Cited by in corpus (1)

• Gravitational instability of an extreme Kerr black hole