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arXiv · 1905.04613

Singularities in rotating black holes coupled to a massless scalar field

Paul M. Chesler
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Abstract

We employ a late-time expansion to study the interior of rotating black holes coupled to a massless scalar field in asymptotically flat spacetime. We find that decaying fluxes of scalar radiation into the black hole necessitate the existence of a null singularity at the Cauchy horizon and a central spacelike singularity at radius $r = 0$. In particular, the decaying influxes source a localized cloud of scalar radiation near $r=0$ whose amplitude grows unboundedly large as advanced time $v \to \infty$. The scalar cloud inevitably results in a central spacelike singularity at late times $v$, with the curvature near $r = 0$ diverging like $r^{-\alpha v}$, where $\alpha > 0$ is a constant.

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Paul M. Chesler. 2019-05-12. Singularities in rotating black holes coupled to a massless scalar field. https://arxiv.org/abs/1905.04613

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