A Spherically Symmetric Closed Universe as an Example of a 2D Dilatonic Model

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

References in corpus (3)

• Spherically symmetric static solution for colliding null dust
• General Solution for Self-Gravitating Spherical Null Dust
• Symmetries in two-dimensional dilaton gravity with matter

Cited by in corpus (6)

• Dilaton Gravity in Two Dimensions
• Nonlinear evolution in high-density QCD
• The classical solutions of two-dimensional gravity
• Wormholes, naked singularities and universes of ghost radiation
• Geometrodynamics in a spherically symmetric, static crossflow of null dust
• Minimally coupled scalar fields as imperfect fluids