Symmetries and the Karlhede classification of type N vacuum solutions

Details Symmetries and the Karlhede classification of type N vacuum solutions Symmetries and the Karlhede classification of type N vacuum solutions

Dec 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cqgra..17.5089m&link_type=abstract

Classical and Quantum Gravity, Volume 17, Issue 24, pp. 5089-5102 (2000).

Physics

3

Scientific paper

The influence of symmetries on the invariant classification of a general type N vacuum spacetime is studied. It is shown that the existence of two independent symmetries (Killing vector fields/homothetic vector fields) reduces the upper bound on the Karlhede algorithm for such solutions from five to three (derivatives), as long as the vector fields obey a geometrical condition obtained here. The only known twisting type N vacuum metric, the Hauser metric, is such an example.

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