New Geometry with All Killing Vectors Spanning the Poincaré Algebra

Details New Geometry with All Killing Vectors Spanning the Poincaré Algebra New Geometry with All Killing Vectors Spanning the Poincaré Algebra

2009-09-15

arxiv.org/abs/0909.2773v2

CHIN. PHYS. LETT. Vol. 29, (2012) 040303

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages. In the new version, the title and text are both revised

Scientific paper

10.1088/0256-307X/29/4/040303

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.

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