Asymptotic expansions and nonlinear stability of power-law inflation models
Seminar Room 1, Newton Institute
We show that homogeneous and isotropic solutions of the Einstein equations coupled to a nonlinear scalar field with a suitable exponential potential are stable under small nonlinear perturbations without any symmetry assumptions. Our proof makes use of recent results on the nonlinear stability of de Sitter spacetime and Kaluza-Klein reduction techniques. Ref.: Heinzle, J.M., Rendall, A.D., Power-law Inflation in Spacetimes without Symmetry, www.arxiv.org/gr-qc/0506134.