Regularity of Cauchy horizons in S2xS1 Gowdy spacetimes

Abstract

We study general S2xS1 Gowdy models with a regular past Cauchy horizon and prove that a second (future) Cauchy horizon exists, provided that a particular conserved quantity $J$ is not zero. We derive an explicit expression for the metric form on the future Cauchy horizon in terms of the initial data on the past horizon and conclude the universal relation $A\p A\f=(8πJ)^2$ where $A\p$ and $A\f$ are the areas of past and future Cauchy horizon respectively.

17 pages, 1 figure

References in corpus (5)

• Analytic description of singularities in Gowdy spacetimes
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
• A spectral solver for evolution problems with spatial S3-topology
• Investigations of solutions of Einstein's field equations close to lambda-Taub-NUT

Cited by in corpus (6)

• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
• Universal properties of distorted Kerr-Newman black holes
• Second-order hyperbolic Fuchsian systems and applications
• Smooth Gowdy symmetric generalized Taub-NUT solutions
• On the balance problem for two rotating and charged black holes
• Smooth Gowdy-symmetric generalised Taub-NUT solutions in Einstein-Maxwell theory