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arxiv: 1701.02217 · v1 · pith:LANUPUOWnew · submitted 2017-01-09 · 🌀 gr-qc

A note on proper affine symmetry in Bianchi types VIII and IX space-times

classification 🌀 gr-qc
keywords affineproperspace-timessymmetryabovebianchistudyingtypes
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We consider the most general form of Bianchi types VIII and IX space-times for studying proper affine symmetry by using holonomy and decomposability, the rank of the 6X6 Riemann matrix and direct integration techniques. Studying proper affine symmetry in the above space-times it is shown that there exists only one possibilty when the above space-times admit proper affine vector field.

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