Study Of Tachyon Dynamics For Broad Classes of Potentials

Details Study Of Tachyon Dynamics For Broad Classes of Potentials Study Of Tachyon Dynamics For Broad Classes of Potentials

2009-06-15

arxiv.org/abs/0906.2617v4

Class.Quant.Grav.27:215021,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, latex, 4 eps figures. Title changed, authors added, motivation rewritten, discussion improved, references added. To

Scientific paper

10.1088/0264-9381/27/21/215021

We investigate in detail the asymptotic properties of tachyon cosmology for a broad class of self-interaction potentials. The present approach relies in an appropriate re-definition of the tachyon field, which, in conjunction with a method formerly applied in the bibliography in a different context, allows to generalize the dynamical systems study of tachyon cosmology to a wider class of self-interaction potentials beyond the (inverse) square-law one. It is revealed that independent of the functional form of the potential, the matter-dominated solution and the ultra-relativistic (also matter-dominated) solution, are always associated with equilibrium points in the phase space of the tachyon models. The latter is always the past attractor, while the former is a saddle critical point. For inverse power-law potentials $V\propto\phi^{-2\lambda}$ the late-time attractor is always the de Sitter solution, while for sinh-like potentials $V\propto\sinh^{-\alpha}(\lambda\phi)$, depending on the region of parameter space, the late-time attractor can be either the inflationary tachyon-dominated solution or the matter-scaling (also inflationary) phase. In general, for most part of known quintessential potentials, the late-time dynamics will be associated either with de Sitter inflation, or with matter-scaling, or with scalar field-dominated solutions.

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