Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-09-22
Phys.Rev.D59:023509,1999
Astronomy and Astrophysics
Astrophysics
8 pages RevTeX file with four figures incorporated (uses RevTeX and epsf)
Scientific paper
10.1103/PhysRevD.59.023509
An attractive method of obtaining an effective cosmological constant at the present epoch is through the potential energy of a scalar field. Considering models with a perfect fluid and a scalar field, we classify all potentials for which the scalar field energy density scales as a power-law of the scale factor when the perfect fluid density dominates. There are three possibilities. The first two are well known; the much-investigated exponential potentials have the scalar field mimicking the evolution of the perfect fluid, while for negative power-laws, introduced by Ratra and Peebles, the scalar field density grows relative to that of the fluid. The third possibility is a new one, where the potential is a positive power-law and the scalar field energy density decays relative to the perfect fluid. We provide a complete analysis of exact solutions and their stability properties, and investigate a range of possible cosmological applications.
Liddle Andrew R.
Scherrer Robert J.
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