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Open AccessJournal ArticleDOI

Physical parameters for stable f(R) models

Gauranga C. Samanta, +1 more
- 01 Aug 2020 - 
- Vol. 94, Iss: 8, pp 1303-1310
TLDR
In this paper, the FRW model is used to study the cosmological implications of the universe with respect to redshift, and the age of universe is predicted in f(R) gravity.
Abstract
Nojiri and Odintsov (Phys Rev D 68:123512, 2003) and Hu and Sawicki (Phys Rev D 76:064004, 2007) have studied nonlinear functions in modified gravity that explain the cosmic acceleration without cosmological constant, fulfill the conditions of local gravity and stability and pass the solar system tests. In this paper, FRW model, a best fitted and fruitful mathematical model of the physical universe (Astrophys J 82:248, 1935; Proc Natl Acad Sci 15:168, 1929; Phys Rev D 73:80, 1948; Astrophys J 142:419, 1965), is studied in the context of these nonlinear functions. The cosmological implications such as Hubble parameter, deceleration parameter, jerk parameter, matter density and the effective equation of state parameter of the universe are plotted with respect to redshift. Subsequently, the age of the universe is predicted in f(R) gravity. All are found to represent the features of present phase of the universe.

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Citations
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Journal ArticleDOI

Traversable wormholes in $$R+\alpha R^n$$ gravity

TL;DR: In this article, the authors considered the problem of traversable wormholes in f(R) gravity with the shape function and the energy conditions with respect to both constant and variable redshift functions.
Journal ArticleDOI

Static traversable wormholes in f(R,T)=R+2αlnT gravity

TL;DR: In this article, a new form of non-linear f(R, T) function was introduced to obtain the exact wormhole solutions in general relativity and the radius of the throat or the spherical region, with satisfied energy conditions, was determined and the presence of exotic matter was minimized.
Journal ArticleDOI

Static Traversable Wormholes in $f(R, T)=R+2\alpha \ln T$ Gravity

TL;DR: In this paper, a new non-linear shape function was proposed to obtain the exact wormhole solutions in gravity by introducing a new form of nonlinear $f(R,T)$ function.
Journal ArticleDOI

Tideless traversable wormholes surrounded by cloud of strings in f(R) gravity

TL;DR: This study deals with the construction of dynamical wormhole that asymptotically approaches a Friedmann-Lemaˆıtre-Robertson-Walker universe.
Journal ArticleDOI

Strange quark matter cosmological models attached to string cloud in f(R) theory of gravity

TL;DR: In this article, the authors examined the Kantowski-Sachs space-time in the presence of strange quark matter with the appearance and nonappearance of strings in f(R) gravity.
References
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A new type of isotropic cosmological models without singularity

TL;DR: In this paper, the Einstein equations with quantum one-loop contributions of conformally covariant matter fields are shown to admit a class of nonsingular isotropic homogeneous solutions that correspond to a picture of the universe being initially in the most symmetric (de Sitter) state.
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