Classification of Cosmological Trajectories

Qi Guo; Rong-Gen Cai

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Classification of Cosmological Trajectories

Qi Guo·Rong-Gen Cai

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Abstract

In the context of effective Friedmann equation we classify the cosmologies in multi-scalar models with an arbitrary scalar potential $V$ according to their geometric properties. It is shown that all flat cosmologies are geodesics with respect to a conformally rescaled metric on the `augmented' target space. Non-flat cosmologies with V=0 are also investigated. It is shown that geodesics in a `doubly-augmented' target space yield cosmological trajectories for any curvature $k$ when projected onto a given hypersurface.

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BibTeX RIS

Qi Guo, Rong-Gen Cai. 2005-04-16. Classification of Cosmological Trajectories. https://arxiv.org/abs/gr-qc/0504033

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