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• W2030926323 abstract "For gravity coupled to N scalar fields, with arbitrary potential V, it is shown that all flat (homogeneous and isotropic) cosmologies correspond to geodesics in an (N + 1)-dimensional 'augmented' target space of Lorentzian signature (1, N), timelike if V > 0, null if V = 0 and spacelike if V < 0. Accelerating cosmologies correspond to timelike geodesics that lie within an 'acceleration subcone' of the 'lightcone'. Non-flat (k = ±1) cosmologies are shown to evolve as projections of geodesic motion in a space of dimension N + 2, of signature (1, N + 1) for k = −1 and signature (2, N) for k = +1. This formalism is illustrated by cosmological solutions of models with an exponential potential, which are comprehensively analysed; the late-time behaviour for other potentials of current interest is deduced by comparison." @default.
• W2030926323 created "2016-06-24" @default.
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• W2030926323 date "2004-11-10" @default.
• W2030926323 modified "2023-09-26" @default.
• W2030926323 title "Cosmology as geodesic motion" @default.
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• W2030926323 doi "https://doi.org/10.1088/0264-9381/21/23/006" @default.
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