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A C-> 1 completion of the Kerr space-time at spacelike infinity including I+ and I-
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2001 (English)In: General Relativity and Gravitation, ISSN 0001-7701, Vol. 33, no 7, 1197-1205 p.Article in journal (Refereed) Published
Abstract [en]

It is well known that, for asymptotically flat spacetimes, one cannot in general have a smooth differentiable structure at spacelike infinity, i(0). Normally, one uses direction dependent structures, whose regularity has to match the regularity of the (rescaled) metric. The standard C->1-structure at i(0) ensures sufficient regularity in spacelike directions, but examples show very low regularity on I+ and I-. The alternative C1+-structure shows that both null and spacelike directions may be treated on an equal footing, at the expense of some manageable logarithmic singularities at i(0). In this paper, we show that the Kerr spacetime may be rescaled and given a structure which is C->1 in both null and spacelike directions from i(0).

Place, publisher, year, edition, pages
2001. Vol. 33, no 7, 1197-1205 p.
Keyword [en]
spacelike infinity, Kerr black hole
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-49091OAI: diva2:269987
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-13

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Herberthson, Magnus
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