The underlying Taub space was found by Abraham Haskel Taub (1951), and extended to a larger manifold by Ezra T. Newman, Louis A. Tamburino, and Theodore W. J. 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 (or equivalently line element)
where
and m and l are positive constants.
Taub's metric has coordinate singularities at , and Newman, Tamburino and Unti showed how to extend the metric across these surfaces.
When Roy Kerr developed the Kerr metric for spinning black holes in 1963, he ended up with a four-parameter solution, one of which was the mass and another the angular momentum of the central body. One of the two other parameters was the NUT-parameter, which he threw out of his solution because he found it to be nonphysical since it caused the metric to be not asymptotically flat,[2][3] while other sources interpret it either as a gravomagnetic monopole parameter of the central mass,[4] or a twisting property of the surrounding spacetime.[5]
A simplified 1+1-dimensional version of the Taub–NUT spacetime is the Misner spacetime.
^Roy Kerr: Spinning Black Holes (Lecture at the University of Canterbury, 25. May 2016). Timecode: 21m36s
^Roy Kerr: Kerr Conference (Lecture at the New Zealand Residence in Berlin, 4. July 2013). Timecode: 19m56s
^Mohammad Nouri-Zonoz, Donald Lynden-Bell: Gravomagnetic Lensing by NUT SpacearXiv:gr-qc/9812094
^A. Al-Badawi, Mustafa Halilsoy: On the physical meaning of the NUT parameter, from ResearchGate
Notesedit
Newman, E.; Tamburino, L.; Unti, T. (1963), "Empty-space generalization of the Schwarzschild metric", Journal of Mathematical Physics, 4 (7): 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 (3): 472–490, doi:10.2307/1969567, ISSN 0003-486X, JSTOR 1969567, MR 0041565
This relativity-related article is a stub. You can help Wikipedia by expanding it.
taub, space, taub, metric, ɔː, exact, solution, einstein, equations, considered, first, attempt, finding, metric, spinning, black, hole, sometimes, also, used, homogeneous, anisotropic, cosmological, models, formulated, framework, general, relativity, citation. The Taub NUT metric t ɔː b n ʌ t 1 ˌ ɛ n j uː ˈ t iː is an exact solution to Einstein s equations It may be considered a first attempt in finding the metric of a spinning black hole It is sometimes also used in homogeneous but anisotropic cosmological models formulated in the framework of general relativity citation needed The underlying Taub space was found by Abraham Haskel Taub 1951 and extended to a larger manifold by Ezra T Newman Louis A Tamburino and Theodore W J 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 or equivalently line element g dt2 U t 4l2U t dps cos 8dϕ 2 t2 l2 d82 sin 8 2dϕ2 displaystyle g dt 2 U t 4l 2 U t d psi cos theta d phi 2 t 2 l 2 d theta 2 sin theta 2 d phi 2 where U t 2mt l2 t2t2 l2 displaystyle U t frac 2mt l 2 t 2 t 2 l 2 and m and l are positive constants Taub s metric has coordinate singularities at U 0 t m m2 l2 1 2 displaystyle U 0 t m m 2 l 2 1 2 and Newman Tamburino and Unti showed how to extend the metric across these surfaces When Roy Kerr developed the Kerr metric for spinning black holes in 1963 he ended up with a four parameter solution one of which was the mass and another the angular momentum of the central body One of the two other parameters was the NUT parameter which he threw out of his solution because he found it to be nonphysical since it caused the metric to be not asymptotically flat 2 3 while other sources interpret it either as a gravomagnetic monopole parameter of the central mass 4 or a twisting property of the surrounding spacetime 5 A simplified 1 1 dimensional version of the Taub NUT spacetime is the Misner spacetime References edit McGraw Hill Science amp Technology Dictionary Taub NUT space Roy Kerr Spinning Black Holes Lecture at the University of Canterbury 25 May 2016 Timecode 21m36s Roy Kerr Kerr Conference Lecture at the New Zealand Residence in Berlin 4 July 2013 Timecode 19m56s Mohammad Nouri Zonoz Donald Lynden Bell Gravomagnetic Lensing by NUT Space arXiv gr qc 9812094 A Al Badawi Mustafa Halilsoy On the physical meaning of the NUT parameter from ResearchGateNotes editNewman E Tamburino L Unti T 1963 Empty space generalization of the Schwarzschild metric Journal of Mathematical Physics 4 7 915 923 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 3 472 490 doi 10 2307 1969567 ISSN 0003 486X JSTOR 1969567 MR 0041565 nbsp This relativity related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Taub NUT space amp oldid 1195712257, wikipedia, wiki, book, books, library,
