1994/11/01 by Dragoljub Markovic, Dragoljub Marković, Eric Poisson · 31 citations
Mathematics · Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Black hole (networking) #Cauchy distribution #Classical mechanics #Cosmology and Gravitation Theories #De Sitter universe #Event horizon #Gravitational collapse #Horizon #Instability #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Spacetime #Universe #White hole #de Sitter–Schwarzschild metric #gr-qc
paper · pdf · doi:10.1103/physrevlett.74.1280
published in Physical Review Letters 74(8), 1280-1283 (American Physical Society) · 4 pages; uses ReVTeX; figure available upon request to [email protected]
arxiv created 1994/11/01 · openalex publication_date 1995/02/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For a certain region of the parameter space M,e,\ensuremathΛ, the Cauchy horizon of a (charged) black hole residing in de Sitter space is classically stable to gravitational perturbations. This implies that, when left to its own devices, classical theory is unable to retain full predictive power: The evolution of physical fields beyond the Cauchy horizon is not uniquely determined by the initial conditions. In this Letter we argue that the Cauchy horizon of a Reissner--Nordstr"om--de Sitter black hole must always be unstable quantum mechanically.