Investigations of space-times with four-parameter groups of motions acting on null hypersurfaces

Details Investigations of space-times with four-parameter groups of motions acting on null hypersurfaces Investigations of space-times with four-parameter groups of motions acting on null hypersurfaces

May 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jmp....18..885l&link_type=abstract

Journal of Mathematical Physics, vol. 18, May 1977, p. 885-888.

Mathematics

Group Theory

4

Astrophysics, Einstein Equations, Field Theory (Physics), Gravitation Theory, Space-Time Functions, Gravitational Fields, Group Theory, Ideal Fluids, Lie Groups, Tensors

Scientific paper

All metrics obtained by allowing a four-parameter group to act on null
three-dimensional hypersurfaces were investigated in order to determine
if any of the symmetries was compatible with a set of Einstein field
equations. A consistent set of equations was found only for the case of
a perfect fluid in a space-time with G4I1 symmetry.

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