A note on classification of proper homothetic vector fields in Kantowski-Sachs and Bianchi type III Lorentzian manifolds

Details A note on classification of proper homothetic vector fields in Kantowski-Sachs and Bianchi type III Lorentzian manifolds A note on classification of proper homothetic vector fields in Kantowski-Sachs and Bianchi type III Lorentzian manifolds

2011-10-14

arxiv.org/abs/1110.3171v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

A complete study of Kantowski-Sachs and Bianchi type III space-times
according to their proper homothetic vector fields is given by using direct
integration technique. Using the above mentioned technique we have shown that
very special classes of the above space-times admit proper homothetic vector
fields. The dimension of homothetic vector fields is five.

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