1. Institute of Physics and Technology, Baltic Federal University of I. Kant, Kaliningrad, Russia 2. Ilya Ulyanov State Pedagogical University, Ulyanovsk, Russia 3. Centre of Theoretical Physics, Jamia Millia Islamia, New Delhi, India
Abstract:
We develop a method for constructing exact cosmological solutions in brane world cosmology. New classes of cosmological solutions on Randall–Sandrum brane are obtained. The superpotential and Hubble parameter are represented in quadratures. These solutions have inflationary phases under general assumptions and also describe an exit from the inflationary phase without a fine tuning of the parameters. Another class solutions can describe the current phase of accelerated expansion with or without possible exit from it.