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arXiv · 2102.00972

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

Horst Reinhard Beyer·Miguel Alcubierre·Miguel Megevand
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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 $a/M \approx 0.979796$.

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Horst Reinhard Beyer, Miguel Alcubierre, Miguel Megevand. 2021-02-01. Stability study of a model for the Klein-Gordon equation in Kerr space-time II. https://doi.org/10.1016/s0034-4877(21)00059-8

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