Reconstruction of modified $$f(R,T)$$ f ( R , T ) gravity with perfect fluid cosmological models

Singh, C. P.; Singh, Vijay

doi:10.1007/s10714-014-1696-0

Cited by 82 publications

(49 citation statements)

References 24 publications

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“…In [28][29][30][31][32], some interesting cosmological f (R, T ) models have been developed by employing various scenarios namely, auxiliary scalar field, dark energy models and anisotropic universe models. In literature [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47], different cosmological applications of f (R, T ) gravity have been discussed like energy conditions, thermodynamics, exact and numerical solutions of field equations with different matter content, phase space perturbation, compact stars and stability of collapsing objects etc.…”

Section: Introductionmentioning

confidence: 99%

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

et al. 2017

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In this paper, we discuss spherically symmetric wormhole solutions in f (R, T ) modified theory of gravity by introducing well-known non-commutative geometry in terms of Gaussian and Lorentzian distributions of string theory. For analytic discussion, we consider an interesting model of f (R, T ) gravity defined by f (R, T ) = f 1 (R) + λT . By taking two different choices for the function f 1 (R), that is, f 1 (R) = R and f 1 (R) = R + α R 2 + γ R n , we discuss the possible existence of wormhole solutions. In the presence of non-commutative Gaussian and Lorentzian distributions, we get exact and numerical solutions for both these models. By taking appropriate values of the free parameters, we discuss different properties of these wormhole models analytically and graphically. Further, using an equilibrium condition, it is found that these solutions are stable. Also, we discuss the phenomenon of gravitational lensing for the exact wormhole model and it is found that the deflection angle diverges at the wormhole throat.

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Section: Introductionmentioning

confidence: 99%

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

et al. 2017

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“…The observational data from H (z) and Supernovae Ia constrained the Hubble parameter as H 0 = 68.93 0.53 −0.52 kms −1 Mpc −1 [74] and accordingly the time variation of G can be calculated from the present model. [74,[80][81][82][83][84][85][86]. The success of the power law model lies with the fact that models with m ≥ 1 do not encounter the horizon problem and do not witness the flatness problem.…”

Section: Exponential Modelmentioning

confidence: 99%

Unified dark fluid in Brans–Dicke theory

Tripathy

Behera²,

Mishra

2015

Eur. Phys. J. C

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Anisotropic dark energy cosmological models are constructed in the frame work of generalised BransDicke theory with a self-interacting potential. A unified dark fluid characterised by a linear equation of state is considered as the source of dark energy. The shear scalar is considered to be proportional to the expansion scalar simulating an anisotropic relationship among the directional expansion rates. The dynamics of the universe in the presence of a unified dark fluid in anisotropic background have been discussed. The presence of an evolving scalar field makes it possible to get an accelerating phase of expansion even for a linear relationship among the directional Hubble rates. It is found that the anisotropy in expansion rates does not affect the scalar field, the self-interacting potential, but it controls the non-evolving part of the Brans-Dicke parameter.

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“…After its introduction, this gained significant attention and authors discussed its various properties including reconstructions schemes, energy conditions, cosmological and thermodynamical implications, neutron stars, scalar perturbations, wormholes and analysis of anisotropic universe models, stability, etc. in [28][29][30][31][32][33][34][35][36][37][38][39][40]. Shabani and Farhoudi [41] applied a dynamical system approach to the elaboration of the weak field limit and presented an analysis of cosmological implications of f (R, T ) models with various cosmological parameters like Hubble parameter, equation of state parameter, and the snap parameter.…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of cylindrically symmetric anisotropic sources in f(R, T) gravity

2017

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In this paper, we have analyzed the stability of cylindrically symmetric collapsing object filled with locally anisotropic fluid in f (R, T ) theory, where R is the scalar curvature and T is the trace of stress-energy tensor of matter. Modified field equations and dynamical equations are constructed in f (R, T ) gravity. The evolution or collapse equation is derived from dynamical equations by performing a linear perturbation on them. The instability range is explored in both the Newtonian and the post-Newtonian regimes with the help of an adiabetic index, which defines the impact of the physical parameters on the instability range. Some conditions are imposed on the physical quantities to secure the stability of the gravitating sources.

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Reconstruction of modified $$f(R,T)$$ f ( R , T ) gravity with perfect fluid cosmological models

Cited by 82 publications

References 24 publications

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

Unified dark fluid in Brans–Dicke theory

Dynamical analysis of cylindrically symmetric anisotropic sources in f(R, T) gravity

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