Stability study of a model for the Klein-Gordon equation in Kerr space-time II

Abstract

The present paper is a follow-up of our previous paper that derives a slightly simplified model equation for the Klein-Gordon equation, describing the propagation of a scalar field of mass $\mu$ in the background of a rotating black hole and, among others, supports the instability of the field down to $a/M\approx 0.97$. The latter result was derived numerically. This paper gives corresponding rigorous results, supporting instability of the field down to $a/M\approx 0.979796$.

33 pages, 4 figures

References in corpus (3)

• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Stability and quasinormal modes of the massive scalar field around Kerr black holes
• Stability study of a model for the Klein-Gordon equation in Kerr spacetime