2021/09/22 by Maxime Van de Moortel, Van de Moortel, Maxime
Physics and Astronomy · #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2109.10932
openalex publication_date 2021/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a new one-parameter family indexed by ε of two-ended, spatially-homogeneous black hole interiors solving the Einstein-Maxwell-Klein-Gordon equations with a (possibly zero) cosmological constant Λ and bifurcating off a Reissner-Nordström-(dS/AdS) interior (ε= 0). For all small ε≠ 0, we prove that, although the black hole is charged, its terminal boundary is an everywhere-spacelike Kasner singularity foliated by spheres of zero radius r. Moreover, smaller perturbations (i.e. smaller |ε|) are more singular than larger one, in the sense that the Hawking mass and the curvature blow up following a power law of the form r^-O(ε-2) at the singularity \r=0\. This unusual property originates from a dynamical phenomenon -- violent nonlinear collapse -- caused by the almost formation of a Cauchy horizon to the past of the spacelike singularity \r=0\. This phenomenon was previously described numerically in the physics literature and referred to as "the collapse of the Einstein-Rosen bridge". While we cover all values of Λ∈ ℝ, the case Λ< 0 is of particular significance to the AdS/CFT correspondence. Our result can also be viewed in general as a first step towards the understanding of the interior of hairy black holes.