On solutions of Einstein's equations with scalar zero-mass source
Abstract
It is shown that most, if not all, previously known solutions of the gravitational field equations with a zero-mass 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