Bianchi type I and V solutions in f(R, T) gravity with time-dependent deceleration parameter

Zubair, M.; Hassan, Syed Moeez; Abbas, G.

doi:10.1139/cjp-2016-0575

Cited by 16 publications

(6 citation statements)

References 45 publications

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“…The kinematical behaviour of LVDP along with null energy condition (NEC) has been explored in the framework of f (R, T ) gravity for Bianchi type -I and V space-time. 58 Akarsu et al 59 have described the fate of the universe through parametrization q = q 0 + q 1 (1 − t t0 ), which is linear in cosmic time t, along with two well-known additional parametrization of the DP q = q 0 + q 1 z and q = q 0 + q 1 (1 − a a0 ), where z and a are the redshift parameter and scale factor respectively. Furthermore, they have studied the dynamics of the universe in comparison with the standard ΛCDM model.…”

Section: Introductionmentioning

confidence: 99%

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Magnetized strange quark model with Big Rip singularity in f(R, T) gravity

2017

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LRS (Locally Rotationally symmetric) Bianchi type-I magnetized strange quark matter cosmological model have been studied based on f (R, T ) gravity. The exact solutions of the field equations are derived with linearly time varying deceleration parameter which is consistent with observational data (from SNIa, BAO and CMB) of standard cosmology. It is observed that the model begins with big bang and ends with a Big Rip. The transition of deceleration parameter from decelerating phase to accelerating phase with respect to redshift obtained in our model fits with the recent observational data obtained by Farook et al. in 2017. 1 The well known Hubble parameter H(z) and distance modulus µ(z) are discussed with redshift.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Magnetized strange quark model with Big Rip singularity in f(R, T) gravity

2017

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“…Using metric formalism, they derived the associated field equations for some specific cases. 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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“…A string solution in the LRS case was solved by Kanakavalli and Rao [25] by taking the equation of state for strings. Zubair et al [26] found Bianchi types I and V solutions by using a linear deceleration parameter and taking the expansion proportional to the expansion.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic Cosmological Model in a Modified Theory of Gravitation

Tiwari¹,

Беешам

Mishra

et al. 2021

Universe

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Current observations indicate that, on a large enough scale, the universe is homogeneous and isotropic. However, this does not preclude the possibility of some anisotropy having occurred during the early stages of the evolution of the universe, which could then have been damped out later. This idea has aroused interest in the Bianchi models, which are homogeneous but anisotropic. Secondly, there is much interest in modified gravity these days due to the problems that the usual ΛCDM model faces in general relativity. Hence, in this paper, a study was conducted on the Bianchi type-I cosmological model in f(R,T)-modified gravity. Following some ideas from cosmography, a specific form of the deceleration parameter was assumed, leading to a model that exhibited a transition from early deceleration to late-time acceleration. The derived model approached isotropy at late times. The physical properties of the model were discussed, and expressions for the various parameters of the model were derived. It is also possible to make progress towards solving the cosmological constant problem, since in this model in f(R,T) gravity, a variable cosmological-type parameter arose, which was large early on but decreased to a constant value in later times.

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Bianchi type I and V solutions in f(R, T) gravity with time-dependent deceleration parameter

Cited by 16 publications

References 45 publications

Magnetized strange quark model with Big Rip singularity in f(R, T) gravity

Magnetized strange quark model with Big Rip singularity in f(R, T) gravity

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

Anisotropic Cosmological Model in a Modified Theory of Gravitation

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