Bianchi I ``asymptotically Kasner'' solutions of the Einstein scalar field equations

In this work we investigate the asymptotic behaviour of solutions to Einstein equations with a minimally coupled scalar field. The primary focus present paper here establishing under what conditions solution becomes "asymptotically Kasner" sufficiently close initial singularity. To address question restrict our attention Bianchi I space-times. By restricting strictly monotonic field are able provide necessary on potential so that resulting is asymptotically Kasner. Moreover, both explicit and numerical examples Kasner