Twisting type-N vacuum fields with a group $H_2$

F. J. Chinea; F. Navarro-Lerida

doi:10.1088/0264-9381/17/21/314

Twisting type-N vacuum fields with a group $H_2$

广义相对论与量子宇宙学 2009-10-31 v1

作者: F. J. Chinea , F. Navarro-Lerida

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

We derive the equations corresponding to twisting type-N vacuum gravitational fields with one Killing vector and one homothetic Killing vector by using the same approach as that developed by one of us in order to treat the case with two non-commuting Killing vectors. We study the case when the homothetic parameter $\phi$ takes the value -1, which is shown to admit a reduction to a third-order real ordinary differential equation for this problem, similar to that previously obtained by one of us when two Killing vectors are present.

关键词

killing-yano tensors

引用

@article{arxiv.gr-qc/0010026,
  title  = {Twisting type-N vacuum fields with a group $H_2$},
  author = {F. J. Chinea and F. Navarro-Lerida},
  journal= {arXiv preprint arXiv:gr-qc/0010026},
  year   = {2009}
}

备注

LaTeX, 11 pages. To be published in Classical and Quantum Gravity

相关论文

查看更多相关论文 →