Finite-time singularities in f(R, T) gravity and the effect of conformal anomaly

Cosmological reconstruction of Little Rip model in f (R, T ) gravity is investigated, where R is the curvature scalar and T the trace of the energy momentum tensor. The model perfectly reproduces the present stage of the universe, characterized by the ΛCDM model, without singularity at future finite-time (without the Big Rip). The input parameters are determined according to Supernovae Cosmology data and perfectly fit with the WMAP around the Little Rip. Moreover, the thermodynamics is considered in this Little Rip cosmology and it is illustrated that the second law of thermodynamics is always satisfied around the Little Rip universe for the temperature inside the horizon being the same as that of the apparent horizon. Moreover, we show the existence of a stable fixed point in the Little Rip universe which confirms that this is actually a late-time attractor in the phantom-dominated universe. The linear perturbation analysis is performed around the critical points, showing that the Little Rip model obtained is stable.

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“…This case seems interesting and has been widely studied for other purposes [6]- [10] and interesting results have been obtained. Then, Eq.…”

Section: General Formalism Of F(r T) Gravitymentioning

confidence: 89%

Thermodynamics in Little Rip cosmology in the framework of a type of f(R, T) gravity

et al. 2014

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“…[52] studied the thermodynamics of FriedmannLemaître-Robertson-Walker (FLRW) spacetimes. Moreover, the occurrence possibility of future singularities was studied by [35]. Besides these achievements, a serious shortcoming in this kind of theory has been the non-conservation of the energy-momentum tensor.…”

Section: Jhep09(2016)140mentioning

confidence: 99%

Searching for a cosmological preferred axis in complicated class of cosmological models: case study f (R, T ) model

Salehi

Aftabi

2016

J. High Energ. Phys.

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Recent astronomical observations show that the universe may be anisotropic on large scales. The Union2 SnIa data hint that the universe has a preferred direction. If such a cosmological privileged axis indeed exists, one has to consider an anisotropic expanding Universe instead of the isotropic cosmological model. In this paper, we present a detailed analysis of the dark energy dipole in f (R, T ) = f 1 (R) + f 2 (T ) Cosmological Model using three types of dipole fit (DF) method which are (I) dipole + monopole fitting for distance modulus (DMFDM), (II) dipole + monopole fitting for luminosity distance (DMFLD) and (III) general dipole fitting for luminosity distance (GDFLD). We have found the maximum anisotropic deviation direction for (DMFDM) method as (l, b) = (315

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“…Nowdays, within these extended theories we have one a class of modified gravity theories in which the gravitational action contains a general function f (R, T ). This theory namely f (R, T ) modified gravity, is a generalization of f (R) theory of gravity and several important results have been found in such theory [18]- [21]. Because of the interesting results and the progress realized in this framework it seems there is still room to study some motivating gravitational and cosmological aspects of f (R, T ) gravity which have not yet been studied.…”

Section: Introductionmentioning

confidence: 99%

Geodesic deviation equation in f(R, T) gravity

Baffou¹,

Houndjo²,

Rodrigues³

et al. 2017

Chinese Journal of Physics

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In this paper, we investigate the modified Geodesic Deviation Equation (GDE) in the framework of f (R, T ) theory of gravity where R and T are the curvature scalar and the trace of the energymomentum tensor, respectively, using the FLRW background. In this way, we obtain the GR equivalent (GDE) in f (R, T ) metric formalism. We also extend our work to the generalization of the Mattig relation and perform the numerical analysis with GDE for null vector.

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Finite-time singularities in f(R, T) gravity and the effect of conformal anomaly

Cited by 95 publications

References 63 publications

Thermodynamics in Little Rip cosmology in the framework of a type of f(R, T) gravity

Thermodynamics in Little Rip cosmology in the framework of a type of f(R, T) gravity

Searching for a cosmological preferred axis in complicated class of cosmological models: case study f (R, T ) model

Geodesic deviation equation in f(R, T) gravity

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