On the Construction of the Taub-NUT Congruence

Physics

Scientific paper

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Scientific paper

We describe how the null congruence tangent to the multiple Debever-Penrose direction of the Taub-NUT solution of Einstein's vacuum field equations may be constructed emanating into the future from a timelike world tube having normal cross sections. The curious shapes of the cross sections of the world tube are plotted, using a computer, for critical ranges of the parameter b/R 0 where b is the Taub-NUT parameter and R 0 is the “radius” of the world tube. It is found that these cross sections can be maintained spatially compact only for some values of b/R 0.

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