The anisotropic cosmological models in f(R, T) gravity with Λ(T)

Chaubey, R.; Shukla, Anjani Kumar

doi:10.1007/s12043-017-1371-6

Cited by 22 publications

(11 citation statements)

References 50 publications

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“…By comparing our results with present literature we are led to conclude that our particular forms for f (R) together with the linear term on T are responsible for the remarkable features of the present model. On this regard, one can note that f (R, T ) functional forms which are linear on both R and T -dependences generally do not yield complete cosmological scenarios as those here obtained [73][74][75].…”

mentioning

confidence: 72%

$f(R,T)=f(R)+λT$ gravity models as alternatives to cosmic acceleration

Sahoo,

Moraes,

Sahoo

et al. 2018

Preprint

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This article presents cosmological models that arise in a subclass of f (R, T ) = f (R)+f (T ) gravity models, with different f (R) functions and fixed T -dependence. That is, the gravitational lagrangian is considered as f (R, T ) = f (R) + λT , with constant λ. Here R and T represent the Ricci scalar and trace of the stress-energy tensor, respectively. The modified gravitational field equations are obtained through the metric formalism for the Friedmann-Lemaître-Robertson-Walker metric with signature (+, −, −, −). We work with, with α, µ, k, γ, m and n all free parameters, which lead to three different cosmological models for our Universe. For the choice of λ = 0, this reduces to widely discussed f (R) gravity models. This manuscript clearly describes the effects of adding the trace of the energy-momentum tensor in the f (R) lagrangian. The exact solution of the modified field equations are obtained under the hybrid expansion law. Also we present the Om diagnostic analysis for the discussed models.

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mentioning

confidence: 72%

$f(R,T)=f(R)+λT$ gravity models as alternatives to cosmic acceleration

Sahoo,

Moraes,

Sahoo

et al. 2018

Preprint

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“…The Hawking-Penrose singularity theorems are primarily studied using WEC and SEC. The SEC is critical to comprehend the allure of gravity [88,89]. The commencement of the cosmic acceleration mode is signaled by a violation of SEC and violation of the WEC, on the other hand, suggests phantom-like behaviour.…”

Section: Energy Conditionsmentioning

confidence: 99%

Renyi Holographic Dark Energy models in Teleparallel gravity

Bhardwaj¹,

Pradhan²,

Symala³

2021

Preprint

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In this paper, we have investigated the physical behaviour of cosmological models in the framework of modified Teleparallel gravity. This model is established using a Renyi holographic "dark energy model (RHDE) with a Hubble cutoff. Here we have considered a homogeneous and isotropic Friedman universe filled with perfect 'fluid. The physical parameters are derived for the present model in Compliances with observational Hubble data sets (OHD). The equation of state (EoS) parameter in terms of H(z) describes a transition of the universe between phantom and non-phantom phases in the context of f (T ) gravity. Our model shows the violation of strong energy condition (SEC) and the weak energy condition (WEC) over the accelerated phantom regime. We also observed that these models occupy both thawing and freezing regions through ω D − ω ′ D plane. Consequently, our Renyi HDE model is supported to the consequences of general relativity in the framework of f (T ) modified gravity.

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“…Recently, it has been discovered that our universe was expanding at an accelerated rate. Over past few years, moren-more studies were done to understand these late-time acceleration of the universe and evidences were found that the cause of this is due to the presence of some dark-energy matter [1,2,3,4,5,6,7] which has huge negative impact and pressure. Surveys on cosmic radiation and dark matters [8,9,10,11] shown that 4%, 20% and 76% of ordinary baryonic matter, dark matter and dark energy are distributed respectively over the universe.…”

Section: Introductionmentioning

confidence: 99%

A generalized buchdahl model for compact stars in f (R;T) gravity

Kumar¹,

Singh²,

Prasad³

2021

Preprint

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In this paper, we study the stellar structure in terms of alternative theory of gravity specially by f (R, T ) gravity theory. Here, we consider the function f (R, T ) = R + 2ς T where R is the Ricci scalar, T is the stress-energy momentum and ς is the coupling constant. Using it we developed a stellar model that briefly explains the isotropic matter distribution within the compact object filled with perfect fluid. The stability of the model is shown by several physical and stability conditions. With the accecptibility of our theory, we were able to collect data for compact stars like PSR-B0943+10, CEN X-3, SMC X-4, Her X-1 and 4U1538-52 with great accuracy.

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The anisotropic cosmological models in f(R, T) gravity with Λ(T)

Cited by 22 publications

References 50 publications

$f(R,T)=f(R)+λT$ gravity models as alternatives to cosmic acceleration

$f(R,T)=f(R)+λT$ gravity models as alternatives to cosmic acceleration

Renyi Holographic Dark Energy models in Teleparallel gravity

A generalized buchdahl model for compact stars in f (R;T) gravity

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