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Asymptotic expansions and nonlinear stability of power-law inflation models

Presented by: 
M Heinzle [Max Planck Institute]
Date: 
Thursday 15th September 2005 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 

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.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons