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

TL;DR

This paper provides initial data solutions for gravity coupled with scalar, electromagnetic, and Yang-Mills fields, and tests cosmic censorship inequality with these solutions, revealing potential violations under certain conditions.

Contribution

It introduces ansatze for solving initial value constraints in gravity coupled to various fields, including time-asymmetric data for testing cosmic censorship.

Findings

Time-asymmetric data used to test Penrose's inequality

Cosmic censorship inequality can be violated under weak energy condition

Provides explicit initial data solutions for coupled gravity and fields

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.