New Geometry with All Killing Vectors Spanning the Poincaré Algebra

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2012,（4）
• 页码范围: 15-18
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/29/4/040303

摘要

The new four-dimensional 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 spacetime with a Lobachevsky space.The motion of free particles in the spacetime is discussed.