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.

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

References in corpus (3)

• Quasinormal modes and Strong Cosmic Censorship
• Numerical study of the gravitational shock wave inside a spherical charged black hole
• The Marolf-Ori singularity inside fast spinning black holes

Cited by in corpus (1)

• A New Look at the $C^0$-formulation of the Strong Cosmic Censorship Conjecture