Unstable Fields in Kerr Spacetimes

Details Unstable Fields in Kerr Spacetimes Unstable Fields in Kerr Spacetimes

2011-11-29

arxiv.org/abs/1111.6854v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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.

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