Immersions of Einstein-Riemann spacetimes in six-dimensional flat spaces

Details Immersions of Einstein-Riemann spacetimes in six-dimensional flat spaces Immersions of Einstein-Riemann spacetimes in six-dimensional flat spaces

Sep 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cqgra..19.4709e&link_type=abstract

Classical and Quantum Gravity, Volume 19, Issue 18, pp. 4709-4715 (2002).

Physics

1

Scientific paper

Each choice of an arbitrary nonzero function f of the four immersion parameters is shown to determine 16N[f] distinguishable classes of two-parameter families of immersions of Einstein-Riemann spacetimes in six-dimensional flat spaces, where N[f] is the number of regular immersion parameter domains. The metric tensors, curvature tensors and the immersion loci are calculated in a closed form, and these calculations involve only finitely many algebraic operations. The presence of the arbitrary function provides the opportunity for study of the behaviour of multiple isolated singularities and/or 'shape' functions in general relativity.

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