Power-Law Inflation in Spacetimes Without Symmetry

• DOI: 10.1007/s00220-006-0133-y
• Publication Date: 2006-10-17T12:18:25Z
• Authors: J. Mark Heinzle; Alan D. Rendall
• Keywords: 103028 Relativitätstheorie; 0103 physical sciences; FOS: Physical sciences; General Relativity and Quantum Cosmology (gr-qc); 01 natural sciences; General Relativity and Quantum Cosmology; 103028 Theory of relativity

16 pages<br/>We consider models of accelerated cosmological expansion described by the Einstein equations coupled to a nonlinear scalar field with a suitable exponential potential. We show that homogeneous and isotropic solutions are stable under small nonlinear perturbations without any symmetry assumptions. Our proof is based on results on the nonlinear stability of de Sitter spacetime and Kaluza-Klein reduction techniques.<br/>