Global existence for the spherically symmetric Einstein-Vlasov system with outgoing matter

TL;DR

This paper proves a global existence and future geodesic completeness result for spherically symmetric Einstein-Vlasov systems with initially outgoing matter, advancing understanding of gravitational particle ensembles in general relativity.

Contribution

It establishes a new global existence theorem for the Einstein-Vlasov system with outgoing matter, demonstrating future geodesic completeness under specific initial conditions.

Findings

Spacetime remains globally well-defined and complete.

Initial outgoing matter condition can be bootstrapped.

System models gravitationally interacting particles in general relativity.

Abstract

We prove a new global existence result for the asymptotically flat, spherically symmetric Einstein-Vlasov system which describes in the framework of general relativity an ensemble of particles which interact by gravity. The data are such that initially all the particles are moving radially outward and that this property can be bootstrapped. The resulting non-vacuum spacetime is future geodesically complete.