Investigations of solutions of Einstein's field equations close to lambda-Taub-NUT

Abstract

We present investigations of a class of solutions of Einstein's field equations close to the family of lambda-Taub-NUT spacetimes. The studies are done using a numerical code introduced by the author elsewhere. One of the main technical complication is due to the S3-topology of the Cauchy surfaces. Complementing these numerical results with heuristic arguments, we are able to yield some first insights into the strong cosmic censorship issue and the conjectures by Belinskii, Khalatnikov, and Lifschitz in this class of spacetimes. In particular, the current investigations suggest that strong cosmic censorship holds in this class. We further identify open issues in our current approach and point to future research projects.

24 pages, 12 figures, uses psfrag and hyperref; replaced with published version, only minor corrections of typos and references

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Cited by in corpus (13)

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• Black holes in a box: towards the numerical evolution of black holes in AdS
• Sharp asymptotics for Einstein-$\lambda$-dust flows
• On de Sitter-like and Minkowski-like space-times
• Smooth Gowdy symmetric generalized Taub-NUT solutions
• A spectral solver for evolution problems with spatial S3-topology
• An exact smooth Gowdy-symmetric generalized Taub-NUT solution
• The numerical initial boundary value problem for the generalized conformal field equations
• Non-genericity of the Nariai solutions: II. Investigations within the Gowdy class
• Regularity of Cauchy horizons in S2xS1 Gowdy spacetimes
• A New Way to Derive the Taub-NUT Metric with Positive Cosmological Constant
• Vacuum initial data on ${\mathbb{S}}^3$ from Killing vectors
• The space spinor formalism and estimates for spinor fields