Mathematical properties of cosmological models with accelerated expansion

Details Mathematical properties of cosmological models with accelerated expansion Mathematical properties of cosmological models with accelerated expansion

2004-08-17

arxiv.org/abs/gr-qc/0408053v1

Lect.Notes Phys. 692 (2006) 141-155

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Based on a lecture given at Bad Honnef

Scientific paper

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.

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