Mathematical properties of cosmological models with accelerated expansion

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.

Based on a lecture given at Bad Honnef

References in corpus (3)

• Brane-World Gravity
• Phantom Matter and the Cosmological Constant
• The surface-symmetric Einstein-Vlasov system with cosmological constant

Cited by in corpus (5)

• Intermediate inflation and the slow-roll approximation
• The Einstein-Vlasov system/Kinetic theory
• Theorems on existence and global dynamics for the Einstein equations
• Power-law Inflation in Spacetimes without Symmetry
• Algebraic expansions for curvature coupled scalar field models