1Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049 2Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049 3Graduate University of Chinese Academy of Sciences, Beijing 100049 4Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100190 5Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190 6Department of Physics, Tsinghua University, Beijing 100084 7Department of Physics, Beijing Normal University, Beijing 100875
New Geometry with All Killing Vectors Spanning the Poincaré Algebra
1Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049 2Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049 3Graduate University of Chinese Academy of Sciences, Beijing 100049 4Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100190 5Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190 6Department of Physics, Tsinghua University, Beijing 100084 7Department of Physics, Beijing Normal University, Beijing 100875
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.
Abstract：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.
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2012, Vol. 29 
