Vacuum Spacetimes with a Two-Dimensional Orthogonally - Transitive Group of Homothetic Motions

Details Vacuum Spacetimes with a Two-Dimensional Orthogonally - Transitive Group of Homothetic Motions Vacuum Spacetimes with a Two-Dimensional Orthogonally - Transitive Group of Homothetic Motions

Jul 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gregr..28..787k&link_type=abstract

General Relativity and Gravitation, Volume 28, Issue 7, pp.787-804

Physics

3

Scientific paper

Vacuum spacetimes with a two-dimensional orthogonally transitive groupH 2 of proper homothetic motions acting on nonnull orbits are investigated with the aid of the Geroch-Held-Penrose formalism. It is found that these spacetimes admit in general anH 3 of homothetic motions containing two commuting and hypersurface orthogonal Killing vector fields. The metric equations are integrated, and the line elements of the spacetimes in question are explicitly given in a diagonal form.

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