Exact Cosmological Solutions of Nonlinear F(R)-Gravity

Abstract

We report on the cited papers refs. 1 - 18 from the following points of view: What do we exactly know about solutions when no exact solution (in the sense of "solution in closed form") is available? In which sense do these solutions possess a singularity? In which cases do conformal relations and/or dimensional reductions simplify the deduction? Furthermore, we outline some open questions worth of being studied in future research.

5 pages, LaTeX sprocl style, no figures, to appear in Proceedings of the International Seminar on Mathematical Cosmology, Potsdam March 30 - April 4, 1998, M. Rainer and H.-J. Schmidt (eds.), World Scientific PC Singapore