Journal article, 2017

We prove existence of spherically symmetric, static, self-gravitating photon shells as solutions to the massless Einstein-Vlasov system. The solutions are highly relativistic in the sense that the ratio 2m(r) / r is close to 8 / 9, where m(r) is the Hawking mass and r is the area radius. In 1955 Wheeler constructed, by numerical means, so-called idealized spherically symmetric geons, i.e., solutions of the Einstein-Maxwell equations for which the energy momentum tensor is spherically symmetric on a time average. The structure of these solutions is such that the electromagnetic field is confined to a thin shell for which the ratio 2m / r is close to 8 / 9, i.e., the solutions are highly relativistic photon shells. The solutions presented in this work provide an alternative model for photon shells or idealized spherically symmetric geons.

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

University of Vienna

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

1424-0637 (ISSN) 1424-0661 (eISSN)

Vol. 18 2 681-705Physical Sciences

10.1007/s00023-016-0531-4