Existence of initial data satisfying the constraints for the spherically symmetric Einstein-Vlasov-Maxwell system

TL;DR

This paper proves the existence of a wide range of initial data satisfying the constraints in the spherically symmetric Einstein-Vlasov-Maxwell system, including cases with very high charge-to-mass ratios.

Contribution

It introduces new ODE-based methods to establish the existence of initial data with arbitrary charge-to-mass ratios for this system.

Findings

Existence of initial data with large charge-to-mass ratios.

Application of ODE techniques to Einstein-Vlasov-Maxwell constraints.

Broad classes of initial data satisfying the system constraints.

Abstract

Using ODE techniques we prove the existence of large classes of initial data satisfying the constraints for the spherically symmetric Einstein-Vlasov-Maxwell system. These include data for which the ratio of total charge to total mass is arbitrarily large.