Taub–NUT space

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Scientists Einstein Lorentz Hilbert Poincaré Schwarzschild de Sitter Reissner Nordström Weyl Eddington Friedman Milne Zwicky Lemaître Gödel Wheeler Robertson Bardeen Walker Kerr Chandrasekhar Ehlers Penrose Hawking Raychaudhuri Taylor Hulse van Stockum Taub Newman Yau Thorne others

The Taub–NUT space (/tɑːb nʌt/^[1] or /tɑːb ɛnjuːˈtiː/) is an exact solution to Einstein's equations, a model universe formulated in the framework of general relativity.

The Taub–NUT metric was found by Abraham Haskel Taub (1951), and extended to a larger manifold by E. Newman, L. Tamburino, and T. Unti (1963), whose initials form the "NUT" of "Taub–NUT".

Taub's solution is an empty space solution of Einstein's equations with topology R×S³ and metric

where

and m and l are positive constants.

Taub's metric has coordinate singularities at U=0, t=m+(m²+l²)^1/2, and Newman, Tamburino and Unti showed how to extend the metric across these surfaces.

References

• Newman, E.; Tamburino, L.; Unti, T. (1963), "Empty-space generalization of the Schwarzschild metric", Journal of Mathematical Physics 4: 915–923, Bibcode:1963JMP.....4..915N, doi:10.1063/1.1704018, ISSN 0022-2488, MR 0152345 
• Taub, A. H. (1951), "Empty space-times admitting a three parameter group of motions", Annals of Mathematics. Second Series 53: 472–490, doi:10.2307/1969567, ISSN 0003-486X, MR 0041565[[JSTOR]] [http://www.jstor.org/stable/1969567 1969567] 

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