Constraining non-minimally coupled tachyon fields by Noether symmetry

Abstract

A model for a spatially flat homogeneous and isotropic Universe whose gravitational sources are a pressureless matter field and a tachyon field non-minimally coupled to the gravitational field is analyzed. Noether symmetry is used to find the expressions for the potential density and for the coupling function, and it is shown that both must be exponential functions of the tachyon field. Two cosmological solutions are investigated: (i) for the early Universe whose only source of the gravitational field is a non-minimally coupled tachyon field which behaves as an inflaton and leads to an exponential accelerated expansion and (ii) for the late Universe whose gravitational sources are a pressureless matter field and a non-minimally coupled tachyon field which plays the role of dark energy and is the responsible of the decelerated-accelerated transition period.

11 pages, 5 figures. Version accepted for publication in Classical and Quantum Gravity

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Cited by in corpus (22)

• f(R) theories
• Noether Symmetry in $f(T)$ Theory
• Scaling attractors in interacting teleparallel dark energy
• Cosmological dynamics of tachyonic teleparallel dark energy
• A novel teleparallel dark energy model
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Cosmological model with fermion and tachyon fields interacting via Yukawa-type potential
• Viability of Noether symmetry of F(R) theory of gravity
• Fermion field as inflaton, dark energy and dark matter
• On the consistency of tachyon warm inflation with viscous pressure
• Analysis of the non-minimally coupled scalar field in the Palatini formalism by the Noether symmetry approach
• Exact Cosmological Solutions of $f(R)$ Theories via Hojman Symmetry
• Modelling Tachyon Cosmology with Non-Minimal Derivative Coupling to Gravity
• Dark Sector from Interacting Canonical and Non-Canonical Scalar Fields
• Hojman Symmetry in $f(T)$ Theory
• Field independent cosmic evolution
• Cosmic expansion from boson and fermion fields
• Cosmological Dynamics in Interacting Scalar-Torsion f(T,$\varphi$) Gravity: Investigating Energy and Momentum Couplings
• Chaplygin Gas of Tachyon Nature Imposed by Symmetry and Constrained via H(z) Data
• Cosmological Solutions for the Geometrical Scalar-Tensor with the Potential Determined by the Noether Symmetry Approach
• Interacting dark matter and q-deformed dark energy non-minimally coupled to gravity
• Conformal coupling associated with the Noether symmetry and its connection with the $\Lambda$CDM dynamics