# Self-interacting scalar field cosmologies: unified exact solutions and symmetries

Authors
Type
Published Article
Publication Date
Mar 02, 2010
Submission Date
Sep 11, 2009
Identifiers
DOI: 10.1088/1475-7516/2010/08/022
Source
arXiv
We investigate a mechanism that generates the exact solutions of scalar field cosmologies in a unified way. The procedure investigated here permits to recover allmost all known solutions, and allows one to derive new solutions as well. In particular, we derive and discuss one novel solution defined in terms of the Lambert function. The solutions are organized in a classification which depends on the choice of a generating function which we have denoted by $x(\phi)$ that reflects the underlying thermodynamics of the model. We also analyse and discuss the existence of form invariances and dualities between solutions. A general way of defining the latter in an appropriate fashion for scalar fields is put forward.