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Article overview
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The Ermakov-Pinney Equation in Scalar Field Cosmologies | Rachael M. Hawkins
; James E. Lidsey
; | Date: |
6 Dec 2001 | Journal: | Phys.Rev. D66 (2002) 023523 | Subject: | Astrophysics; Mathematical Physics | astro-ph gr-qc math-ph math.MP | Abstract: | It is shown that the dynamics of cosmologies sourced by a mixture of perfect fluids and self-interacting scalar fields are described by the non-linear, Ermakov-Pinney equation. The general solution of this equation can be expressed in terms of particular solutions to a related, linear differential equation. This characteristic is employed to derive exact cosmologies in the inflationary and quintessential scenarios. The relevance of the Ermakov-Pinney equation to the braneworld scenario is discussed. | Source: | arXiv, astro-ph/0112139 | Services: | Forum | Review | PDF | Favorites |
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