The general homothetic equations

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Scientific paper

In an earlier paper [6] the author wrote the homothetic equations for vacuum
solutions in a first order formalism allowing for arbitrary alignment of the
dyad. This paper generalises that method to homothetic equations in non-vacuum
spaces and also provides useful second integrability conditions. An application
to the well-known Petrov type O pure radiation solutions is given.

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