A class of dust-like self-similar solutions of the massless Einstein-Vlasov system

Understand

In this paper the existence of a class of self-similar solutions of the Einstein-Vlasov system is proved.

• The initial data for these solutions are not smooth, with their particle density being supported in a submanifold of codimension one.
• They can be thought of as intermediate between smooth solutions of the Einstein-Vlasov system and dust.
• The motivation for studying them is to obtain insights into possible violation of weak cosmic censorship by solutions of the Einstein-Vlasov system.