2011/06/30 by Florian Beyer, Jörg Hennig
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cauchy distribution #Cauchy problem #Class (philosophy) #Computer science #Expression (computer science) #Horizon #Initial value problem #Mathematical analysis #Mathematics #Metric (unit) #Nonlinear Waves and Solitons #Physics #Quantum mechanics #Value (mathematics) #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1088/0264-9381/29/24/245017
published as Class. Quantum Grav. 29 (2012) 245017 · 56 pages, 1 figure. The new version contains a detailed explanation of the Fuchsian method on the 2-sphere
arxiv created 2012/07/19 · openalex publication_date 2012/12/03 · arxiv updated 2012/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a class of -Gowdy vacuum models with a regular past Cauchy horizon which we call smooth Gowdy-symmetric generalized Taub–NUT solutions. In particular, we prove the existence of such solutions by formulating a singular initial value problem with asymptotic data on the past Cauchy horizon. We prove that also a future Cauchy horizon exists for generic asymptotic data, and derive an explicit expression for the metric on the future Cauchy horizon in terms of the asymptotic data on the past horizon. This complements earlier results about -Gowdy models.