Models for Self-Gravitating Photon Shells and Geons

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Written by Maximilian Thaller

In this presentation the massless Einstein-Vlasov system in spherical symmetry will be considered and the existence of static solutions whose matter quantities have bounded support will be proved. To this end we apply a method yielding very detailed information about the solutions at hand, in particular we will see That the matter is arranged in highly relativistic shells of massless particles. Finally the relation of these solutions to geons -a concept introduced in 1955 by John Wheeler as an alternative field-theoretic description of single particles- will be discussed. The results emerged from a collaboration with Håkan Andréasson (Chalmers, Gothenburg) and David Fajman (Univ. of Vienna), and are available on the ArXiV: http://arxiv.org/abs/1511.01290