New Geometry with All Killing Vectors Spanning the Poincaré Algebra
arXiv:0909.2773 · doi:10.1088/0256-307X/29/4/040303
Abstract
The new 4D geometry whose Killing vectors span the Poincaré algebra is presented and its structure is analyzed. The new geometry can be regarded as the Poincaré-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.
7 pages. In the new version, the title and text are both revised