New Geometry with All Killing Vectors Spanning the Poincar\'e Algebra
General Relativity and Quantum Cosmology
2012-04-20 v2
Abstract
The new 4D geometry whose Killing vectors span the Poincar\'e algebra is presented and its structure is analyzed. The new geometry can be regarded as the Poincar\'e-invariant solution of the degenerate extension of the vacuum Einstein field equations with a negative cosmological constant and provides a static cosmological space-time with a Lobachevsky space. The motion of free particles in the space-time is discussed.
Keywords
Cite
@article{arxiv.0909.2773,
title = {New Geometry with All Killing Vectors Spanning the Poincar\'e Algebra},
author = {Chao-Guang Huang and Yu Tian and Xiao-Ning Wu and Zhan Xu and Bin Zhou},
journal= {arXiv preprint arXiv:0909.2773},
year = {2012}
}
Comments
7 pages. In the new version, the title and text are both revised