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

• 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 complications is due to the S-3-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.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

GOWDY SPACETIMES

RELATIVISTIC COSMOLOGY

ASYMPTOTIC-BEHAVIOR

GENERAL-RELATIVITY

VACUUM SPACETIMES

EXISTENCE

TIMES

SINGULARITY

STABILITY

SURFACES

MATHEMATICS

MATEMATIK

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