Conformal Yano-Killing Tensors in General Relativity

被引:0
作者
Jezierski, Jacek [1 ]
机构
[1] Univ Warsaw, Dept Math Methods Phys, Fac Phys, PL-00682 Warsaw, Poland
来源
SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS | 2011年 / 314卷
关键词
CONSERVED QUANTITIES; CYK TENSORS;
D O I
10.1088/1742-6596/314/1/012095
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
How CYK tensors appear in General Relativity? Geometric definition of the asymptotic flat spacetime: strong asymptotic flatness, which guarantees well defined total angular momentum [2, 3, 4] Conserved quantities - asymptotic charges (I, i(0)) [2, 3, 4, 5, 6, 9] Quasi-local mass and "rotational energy" for Kerr black hole [5] Constants of motion along geodesics and symmetric Killing tensors [5, 6] Spacetimes possessing CYK tensor [10]: Minkowski (quadratic polynomials) [5] (Anti-)deSitter (natural construction) [7, 8, 9] Kerr (type D spacetime) [5] Taub-NUT (new symmetric conformal Killing tensors) [6] Other applications: Symmetries of Dirac operator Symmetries of Maxwell equations
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