Scaling solutions and geodesics in moduli space
arXiv:hep-th/0604046 · doi:10.1088/0264-9381/23/14/004
Abstract
In this paper we consider cosmological scaling solutions in general relativity coupled to scalar fields with a non-trivial moduli space metric. We discover that the scaling property of the cosmology is synonymous with the scalar fields tracing out a particular class of geodesics in moduli space - those which are constructed as integral curves of the gradient of the log of the potential. Given a generic scalar potential we explicitly construct a moduli metric that allows scaling solutions, and we show the converse - how one can construct a potential that allows scaling once the moduli metric is known.
10 pages, 3 figures
References in corpus (15)
- Cosmology and the Fate of Dilatation Symmetry
- Quintessence, Cosmic Coincidence, and the Cosmological Constant
- Exponential potentials and cosmological scaling solutions
- Non-Perturbative Superpotentials In String Theory
- Assisted inflation
- Cosmic Concordance and Quintessence
- Generalized Assisted Inflation
- Hyperbolic Space Cosmologies
- Inflation in Realistic D-Brane Models
- Instabilities in heterotic M-theory induced by open membrane instantons
- Cosmic Acceleration from M Theory on Twisted Spaces
- Cosmology as Geodesic Motion
- Scalar Cosmology with Multi-exponential Potentials
- Accelerating cosmologies from compactification with a twist
- Cosmology from Moduli Dynamics
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