Power-law Inflation in Spacetimes without Symmetry

Heinzle, J. Mark; Rendall, Alan D.

doi:10.1007/s00220-006-0133-y

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Power-law Inflation in Spacetimes without Symmetry

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Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0506134v1.pdf
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cmp269_1.pdf
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引用

Heinzle, J. M., & Rendall, A. D. (2007). Power-law Inflation in Spacetimes without Symmetry. Communications in Mathematical Physics, 269(1):, 1. doi:10.1007/s00220-006-0133-y.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-4890-7

要旨

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.