Initial data for gravity coupled to scalar, electromagnetic and Yang-Mills fields
arXiv:gr-qc/9805100 · doi:10.1103/PhysRevD.59.044004
Abstract
We give ansatze for solving classically the initial value constraints of general relativity minimally coupled to a scalar field, electromagnetism or Yang-Mills theory. The results include both time-symmetric and asymmetric data. The time-asymmetric examples are used to test Penrose's cosmic censorship inequality. We find that the inequality can be violated if only the weak energy condition holds.
16 pages, RevTeX, references added, presentational changes, version to appear in Phys Rev. D