A Spherically Symmetric Closed Universe as an Example of a 2D Dilatonic Model
arXiv:gr-qc/9902016 · doi:10.1103/PhysRevD.59.104014
Abstract
We study the two-dimensional (2D) dilatonic model describing a massless scalar field minimally coupled to the spherically reduced Einstein-Hilbert gravity. The general solution of this model is given in the case when a Killing vector is present. When interpreted in four dimensions, the solution describes either a static or a homogeneous collision of incoming and outgoing null dust streams with spherical symmetry. The homogeneous Universe is closed.
5 pages, 2 figures, to appear in Physical Review D