English

The general homothetic equations

General Relativity and Quantum Cosmology 2011-09-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1109.4197,
  title  = {The general homothetic equations},
  author = {John D. Steele},
  journal= {arXiv preprint arXiv:1109.4197},
  year   = {2011}
}
R2 v1 2026-06-21T19:07:31.639Z