Initial data for gravity coupled to scalar, electromagnetic, and Yang-Mills fields

We give Ansätze 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.