Interacting F(R, T) gravity with modified Chaplygin gas

Abstract

In this paper, we have studied F (R, T ) gravity as an arbitrary function of curvature and torsion scalars in Friedmann-Lemaître-Robertson-Walker (FLRW) background. Then, we have considered interacting model between F (R, T ) gravity and modified Chaplygin gas. The novelty of this model is that the Universe includes both cases curvature and torsion, and one dominated by a Chaplygin gas. In order to calculate cosmological solutions, we obtained Friedmann equations and also equation of state (EoS) parameter of dark energy. By employing interacting model we considered the total energy density and the total pressure of Universe as the combination of components of dark energy and Chaplygin gas. Subsequently, we reconstructed the model by an origin of a scalar field entitled quintessence model with a field potential. The field potential has been calculated in terms of free parameters of F (R, T ) gravity and modified Chaplygin gas. In what follows, we used a parametrization, and the cosmological parameters have been written in terms of redshift z. Next, we plotted cosmological parameters with respect to three variable of cosmic time, redshift z and e-folding number N = ln(a), and the figures showed us an accelerated expansion of Universe. Also, we have described the scenario in three status early time, late time and future time by e-folding number. Finally, the stability of scenario has been investigated by a useful function named sound speed, and the graph of sound speed versus e-folding number has been showed us that there is the stability in late time.PACS numbers: 04.50.Kd; 95.36.+x

Stability and interacting f(T, T ) gravity with modified Chaplygin gas

“…Chaplygin gas model extended to generalized Chaplygin gas and modified Chaplygin gas, in which the modified Chaplygin gas model is the combination of barotropic model and Chaplygin gas model. The advantage of the modified Chaplygin gas model is consistent with observational data, and also unify dark matter and dark energy [24,41,42,72]. Also, other models of Chaplygin gas such as viscous Chaplygin gas, cosmic Chaplygin gas and extended Chaplygin gas studied by Refs.…”

“…Now we intend to describe dark energy model with modified gravity theory. This issue studied in numerous literatures by topics of f (R) gravity [60,61], f (T ) gravity [62,63], f (T ) gravity [64], f (R, T ) gravity [24,34,65], f (R, T ) gravity [66] and f (G) gravity [67], in which R, T , T and G are Ricci scalar curvature, torsion scalar, trace of the matter energy-momentum tensor and the Gauss-Bonnet term, respectively. We note that cosmological solutions of these models can provide an alternative explanation for the accelerated expansion of Universe.…”

“…In order to describe dark energy model, numerous studies have been performed in isotropic space-time such as scalar fields (quintessence, phantom, tachyon and etc.) [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], modified gravity models [24][25][26][27][28][29][30][31], holographic models [32][33][34][35][36][37][38][39][40], interacting models [41][42][43][44][45][46][47][48][49][50][51][52], bouncing model [53][54][55...…”

Methods for Interpreting Machine Learning Black Boxes and Their Application to Decision Support Systems

“…(2) This generalization was first proposed in [1], and these properties were investigated in [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]…”

Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints

“…In particular, the f (T, B) gravity has a better advantage because one recovers the same formation in both scenarios of f (T ) gravity and f (R) gravity, which is resulted equivalence teleparallel-curvature and so-called f (R, T ) gravity. Therefore, the f (T, B) gravity is another form of f (R, T ) gravity, which is a great alternative to dark energy [17,24,59].…”