On solutions of Einstein's equations with scalar zeromass source
Abstract
It is shown that most, if not all, previously known solutions of the gravitational field equations with a zeromass scalar sourceø can be found “without solving the field equations” by applying known theorems. Penney's recent solution, characterized in part by having a conformally flat metricds _{2}=e ^{2σ } η _{ij} dx ^{i} dx ^{j} is shown to be insufficiently general when his vectora _{i} is null. The problem is reformulated and new solutions of the conformally flat type are found. These are, in general, such that ø and σ are no longer linearly related.
 Publication:

General Relativity and Gravitation
 Pub Date:
 January 1978
 DOI:
 10.1007/BF00772551
 Bibcode:
 1978GReGr...9...59B