Killing tensors in two-dimensional space-times with applications to cosmology.

Details Killing tensors in two-dimensional space-times with applications to cosmology. Killing tensors in two-dimensional space-times with applications to cosmology.

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jmp....32.3412r&link_type=abstract

Journal of Mathematical Physics, Vol. 32, No. 12, p. 3412 - 3422

Mathematics

Mathematical Physics

14

Scientific paper

The existence of Killing vectors and Killing tensors in two-dimensional space-times is discussed. The corresponding mechanical problem having a potential with two exponential terms is analyzed in detail and a number of cases admitting Killing tensors are given. The Killing tensors give rise to new exact solutions in perfect fluid Bianchi and Kantowski-Sachs cosmologies as well as in inflationary models with a scalar field source.

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