Singularities in rotating black holes coupled to a massless scalar field

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.

arXiv comment20 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1902.08323

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Cited by in corpus (2)

• Numerical evolution of the interior geometry of charged black holes
• A New Look at the $C^0$-formulation of the Strong Cosmic Censorship Conjecture