paper

Cosmology as Relativistic Particle Mechanics: From Big Crunch to Big Bang

arXiv:hep-th/0408220 · doi:10.1088/0264-9381/22/4/007

Abstract

Cosmology can be viewed as geodesic motion in an appropriate metric on an `augmented' target space; here we obtain these geodesics from an effective relativistic particle action. As an application, we find some exact (flat and curved) cosmologies for models with N scalar fields taking values in a hyperbolic target space for which the augmented target space is a Milne universe. The singularities of these cosmologies correspond to points at which the particle trajectory crosses the Milne horizon, suggesting a novel resolution of them, which we explore via the Wheeler-deWitt equation.

17 pages, 3 figures, references and comments added

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