کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1894610 1044208 2007 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On generalization of Birkhoff’s theorem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
On generalization of Birkhoff’s theorem
چکیده انگلیسی

A theorem of G.D. Birkhoff states that a spherically symmetric space–time with vanishing Ricci tensor admits a Killing field beyond those given by the spherical action and thus it is static under an additional condition motivated by the exterior Schwarzschild space–time. Several generalizations of this result were obtained for spherically symmetric space–times and also for such more general ones where an isometric action of a 3-dimensional Lie group with orbits of maximal dimension 2 is given. It seems, however, that a complete account of those space–times where such a generalized theorem holds fails even now. A construction of all those spherically symmetric space–times is presented below where a generalization of Birkhoff’s theorem holds.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 57, Issue 3, February 2007, Pages 1099–1113
نویسندگان
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