A dynamical system approach to Bianchi III cosmology for Hu–Sawicki type f(R) gravity

Banik, S.; Banik, Debika Kangsha; Bhuyan, Kalyan

doi:10.1007/s10714-018-2345-9

Cited by 4 publications

(4 citation statements)

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“…A detailed investigation of the cosmological dynamics corresponding to n=1, in case of Hu-Sawicki f (R) model are presented in [11,13,52]. Following [11,13,52], we perform our analysis considering n=1, as the value of n is totally unconstrained by the present cosmological data. Thus, for n=1, the above equation reduces to = W (H 0 and m0 W are the present-day values of Hubble and matter density parameters, respectively).…”

Section: The Palatini Approach In F (R) Gravitymentioning

confidence: 99%

“…This provides a strong motivation to look for some alternative models to explain such anisotropy. Bianchi models [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53] pave a way for the researchers to describe the anisotropic phase of early universe and the acceleration phase of late universe.…”

Section: Introductionmentioning

confidence: 99%

“…The main motivation to use the Palatini formalism in the Hu-Sawicki scenario is to check whether such a model is able to reproduce the sequence of cosmological evolution in the presence of anisotropic models or not. Although the FLRW cosmology within the Palatini approach [11] and the anisotropic Bianchi III cosmology within the metric approach [52] in the background of Hu-Sawicki f (R) model has been able show the sequence of the evolution of the Universe, the Palatini version of Hu-Sawicki f (R) gravity has not been yet investigated in presence of anisotropic models. Such anisotropic models are considered as a preferred area of research as it can explain the anisotropy prevailing in the early stage of the Universe.…”

Section: Introductionmentioning

confidence: 99%

“…The Hu-Sawicki f (R) modelIn this analysis, particular attention is given to a unique form of f (R) model known as Hu-Sawicki f (R) model[11][12][13][14][15]52], given by…”

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confidence: 99%

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Bianchi I and V cosmologies with Hu-Sawicki f(R) gravity in Palatini formalism

Banik

Bhuyan

2018

J. Phys. Commun.

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The main objective of this work is the pursuit of a detailed analysis of the cosmological solutions corresponding to each fixed point belonging to an exclusive form of f (R) initially introduced by Hu and Sawicki in the background of Palatini f (R) gravity. Fixed points and their associated solutions for the anisotropic Bianchi type I and V models are derived by utilizing an approach used to solve autonomous ordinary differential equations. Building on this background, an exhaustive study on the phase space is accomplished and the existence of a sequence of evolution that starts from unstable anisotropic universe to a stable phase of late times de Sitter expansion through the standard radiation and matter dominated era has been established.

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Section: The Palatini Approach In F (R) Gravitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The Hu-Sawicki f (R) modelIn this analysis, particular attention is given to a unique form of f (R) model known as Hu-Sawicki f (R) model[11][12][13][14][15]52], given by…”

mentioning

confidence: 99%

See 2 more Smart Citations