Algebraic classification of the Weyl tensor in higher dimensions based on its 'superenergy' tensor

作者：Senovilla Jose M M^*

来源：Classical and Quantum Gravity, 2010, 27(22): 222001.

DOI：10.1088/0264-9381/27/22/222001

The algebraic classification of the Weyl tensor in the arbitrary dimension n is recovered by means of the principal directions of its 'superenergy' tensor. This point of view can be helpful in order to compute the Weyl aligned null directions explicitly, and permits one to obtain the algebraic type of the Weyl tensor by computing the principal eigenvalue of rank-2 symmetric future tensors. The algebraic types compatible with states of intrinsic gravitational radiation can then be explored. The underlying ideas are general, so that a classification of arbitrary tensors in the general dimension can be achieved.

• 出版日期2010-11-21