### Resumen

We investigate in detail the asymptotic properties of tachyon cosmology for a broad class of self-interaction potentials. The present approach relies on an appropriate re-definition of the tachyon field, which, in conjunction with a method formerly applied in the bibliography in a different context allows us 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 ∝ φ ^{-2λ} the late-time attractor is always the de Sitter solution, while for sinh-like potentials V ∝ sinh^{-∝} (λφ), 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.

Idioma original | Inglés |
---|---|

Número de artículo | 215021 |

Publicación | Classical and Quantum Gravity |

Volumen | 27 |

N.º | 21 |

DOI | |

Estado | Publicada - 7 nov 2010 |

### Huella dactilar

### Citar esto

*Classical and Quantum Gravity*,

*27*(21), [215021]. https://doi.org/10.1088/0264-9381/27/21/215021

}

*Classical and Quantum Gravity*, vol. 27, n.º 21, 215021. https://doi.org/10.1088/0264-9381/27/21/215021

**A study of tachyon dynamics for broad classes of potentials.** / Quiros, Israel; Gonzalez, Tame; Gonzalez, Dania; Napoles, Yunelsy; García-Salcedo, Ricardo; Moreno, Claudia.

Resultado de la investigación: Contribución a una revista › Artículo

TY - JOUR

T1 - A study of tachyon dynamics for broad classes of potentials

AU - Quiros, Israel

AU - Gonzalez, Tame

AU - Gonzalez, Dania

AU - Napoles, Yunelsy

AU - García-Salcedo, Ricardo

AU - Moreno, Claudia

PY - 2010/11/7

Y1 - 2010/11/7

N2 - We investigate in detail the asymptotic properties of tachyon cosmology for a broad class of self-interaction potentials. The present approach relies on an appropriate re-definition of the tachyon field, which, in conjunction with a method formerly applied in the bibliography in a different context allows us 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 ∝ φ -2λ the late-time attractor is always the de Sitter solution, while for sinh-like potentials V ∝ sinh-∝ (λφ), 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.

AB - We investigate in detail the asymptotic properties of tachyon cosmology for a broad class of self-interaction potentials. The present approach relies on an appropriate re-definition of the tachyon field, which, in conjunction with a method formerly applied in the bibliography in a different context allows us 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 ∝ φ -2λ the late-time attractor is always the de Sitter solution, while for sinh-like potentials V ∝ sinh-∝ (λφ), 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.

UR - http://www.scopus.com/inward/record.url?scp=78649826346&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/27/21/215021

DO - 10.1088/0264-9381/27/21/215021

M3 - Artículo

AN - SCOPUS:78649826346

VL - 27

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 21

M1 - 215021

ER -