Self-similar cosmological solutions with a non-minimally coupled scalar field

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dc.creatorHolden, Damien J.
dc.creatorWands, David
dc.date1999-08-09
dc.date1999-10-15
dc.date.accessioned2026-07-07T11:34:28Z
dc.date.available2026-07-07T11:34:28Z
dc.descriptionWe present self-similar cosmological solutions for a barotropic fluid plus scalar field with Brans-Dicke-type coupling to the spacetime curvature and an arbitrary power-law potential energy. We identify all the fixed points in the autonomous phase-plane, including a scaling solution where the fluid density scales with the scalar field's kinetic and potential energy. This is related by a conformal transformation to a scaling solution for a scalar field with exponential potential minimally coupled to the spacetime curvature, but non-minimally coupled to the barotropic fluid. Radiation is automatically decoupled from the scalar field, but energy transfer between the field and non-relativistic dark matter can lead to a change to an accelerated expansion at late times in the Einstein frame. The scalar field density can mimic a cosmological constant even for steep potentials in the strong coupling limit.
dc.description10 pages, 1 figure, revtex version to appear in Phys Rev D, references added
dc.identifierhttps://arxiv.org/abs/gr-qc/9908026
dc.identifierhttp://arxiv.org/abs/gr-qc/9908026
dc.identifierPhys.Rev.D61:043506,2000
dc.identifierdoi:10.1103/PhysRevD.61.043506
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198258
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleSelf-similar cosmological solutions with a non-minimally coupled scalar field
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