Dynamical analysis of interacting non-canonical scalar field model

Abstract

In this work, considering the background dynamics of flat Friedmann-Lemaitre-Robertson-Walker(FLRW) model of the universe, we investigate a non-canonical scalar field model as dark energy candidate which interacting with the pressureless dust as dark matter in view of dynamical systems analysis. Two interactions from phenomenological point of view are chosen: one is depending on Hubble parameter H, another is local, independent of Hubble parameter. In Interaction model 1, an inverse square form of potential as well as coupling function associated with scalar field is chosen and a two dimensional autonomous system is obtained. From the 2D autonomous system, we obtain scalar field dominated solutions representing late time accelerated evolution of the universe. Late time scaling solutions are also realized by the accelerated evolution of the universe attracted in quintessence era. Center Manifold Theory can provide the sufficient conditions on model parameters such that the de Sitter like solutions can be stable attractor at late time in this model. In the Interaction model 2, potential as well as coupling function are considered to be evolved exponentially on scalar field and as a result of which a four dimensional autonomous system is achieved. From the analysis of 4D system, we obtain non-hyperbolic sets of critical points which are analyzed by the Center Manifold Theory. In this model, de Sitter like solutions represent the transient evolution of the universe.

Determinants of Financial Inclusion of Urban Women: Evidence from Ahmedabad, India

“…There has been substantial work on new dark energy models based on thermodynamic modifications like modified area-entropy relations [163][164][165][166][167][168] or even more exotic possibilities like generalized uncertainty principles [169][170][171] or non-canonical approaches like DBI etc. as well [172][173][174][175][176][177][178].This vast dark energy literature has prompted the study of cosmological singularities in a wide range of cosmological backgrounds as well, as there have been multiple works which have discussed Type I-IV singularities in various cosmologies [30,31,33,34,105,155,[179][180][181][182][183][184][185][186][187][188][189][190]. In this vast array of works, one has seen quite a few examples in which cosmologies affected by the effects of these modified gravity theories or quantum gravitational paradigms ( like the Braneworld or LQC for example ) have alleviated certain singularities.…”

Recent Advances in Cosmological Singularities

“…For example, many works have considered the possibility of viable scalar-field-based dark energy regimes in quantum-gravity-corrected cosmologies like the RS-II braneworld and loop quantum cosmology [14][15][16][17][18]. There has been substantial work on new dark energy models based on thermodynamic modifications like modified area-entropy relations [151][152][153][154][155][156], even more exotic possibilities like generalized uncertainty principles [157][158][159], or non-canonical approaches like DBI [160][161][162][163][164][165][166]. This vast dark energy literature has prompted the study of cosmological singularities with a wide range of cosmological backgrounds, as there have been multiple works that have discussed Type I-IV singularities in various cosmologies [29,30,32,33,93,143,[167][168][169][170][171][172][173][174][175][176][177][178].…”