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arXiv · 0909.2773

New Geometry with All Killing Vectors Spanning the Poincaré Algebra

Chao-Guang Huang·Yu Tian·Xiao-Ning Wu·Zhan Xu·Bin Zhou
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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.

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Chao-Guang Huang, Yu Tian, Xiao-Ning Wu, Zhan Xu, Bin Zhou. 2012-04-19. New Geometry with All Killing Vectors Spanning the Poincaré Algebra. https://doi.org/10.1088/0256-307x%2F29%2F4%2F040303

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