具有高阶Stäckel-Killing张量的Goryachev-Chaobuggin、Kovalevskaya和Brdička-Eardley-Nappi-Witten pp波时空
Goryachev-Chaplygin, Kovalevskaya, and Brdička-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stäckel-Killing tensors
摘要:
本文研究了Goryachev-Chaubergin和Kovalevskaya陀螺时空以及Brdička-Eardley-Nappi-Witten pp波的隐对称性。我们发现这些时空具有更高秩的Stäckel-Killing张量,并且在pp波时空的情况下,Stäckel-Killing张量的对称群是著名的Newton-Hooke群。
英文摘要:
Hidden symmetries of the Goryachev-Chaplygin and Kovalevskaya gyrostats spacetimes, as well as the Brdička-Eardley-Nappi-Witten pp-waves are studied. We find out that these spacetimes possess higher rank Stäckel-Killing tensors and that in the case of the pp-wave spacetimes the symmetry group of the Stäckel-Killing tensors is the well-known Newton-Hooke group.
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