Szekeres's space-times have no Killing vectors

Mathematics

Scientific paper

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Cosmic Dust, Einstein Equations, Gravitational Collapse, Space-Time Functions, Vectors (Mathematics), Cosmology, Existence Theorems, Symmetry

Scientific paper

Szekeres (1975) obtained some exact solutions of Einstein's equations
for dust which have applications in cosmology, in the theory of
collapse, and in the study of gravitational radiation. It is shown that
in their most general form these space-times have no Killing vectors.

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