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Book Chapter

Mathematical properties of cosmological models with accelerated expansion

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

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Citation

Rendall, A. D. (2006). Mathematical properties of cosmological models with accelerated expansion. In J. Frauendiener, D. J. Giulini, & V. Perlick (Eds.), Analytical and Numerical Approaches to Mathematical Relativity (pp. 141-156). Berlin u.a: Springer.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4ADB-F
Abstract
An introduction to solutions of the Einstein equations defining cosmological models with accelerated expansion is given. Connections between mathematical and physical issues are explored. Theorems which have been proved for solutions with positive cosmological constant or nonlinear scalar fields are reviewed. Some remarks are made on more exotic models such as the Chaplygin gas, tachyons and $k$-essence.