2005/01/31 by Hideki Maeda, Takashi Torii, Tomohiro Harada · 1 citation
Mathematics · Physics and Astronomy · #Apparent horizon #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Event horizon #Geometry #Horizon #Initial value problem #Instability #Mathematical physics #Mathematics #Physics #Quantum mechanics #Scalar (mathematics) #gr-qc
paper · pdf · doi:10.1103/physrevd.71.064015
published as Phys.Rev. D71 (2005) 064015 · 6 pages, 1 figure, final version to appear in Physical Review D
arxiv created 2005/03/10 · openalex publication_date 2005/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The evolution of weak discontinuity is investigated on horizons in the n-dimensional static solutions in the Einstein-Maxwell-scalar-\ensuremathΛ system, including the Reissner-Nordstr"om-(anti) de Sitter black hole. The analysis is essentially local and nonlinear. We find that the Cauchy horizon is unstable, whereas both the black hole event horizon and the cosmological event horizon are stable. This new instability, the so-called kink instability, of the Cauchy horizon is completely different from the well-known ``infinite-blueshift'' instability. The kink instability makes the analytic continuation beyond the Cauchy horizon unstable.