In this paper, we investigate the cosmic acceleration and the behavior of dark energy (DE) in the structure of the recently proposed κ(R,T) gravity theory [G. R. P. Teruel, κ(R,T) gravity, Eur. Phys. J. C 78 (2018) 660]. In this study, we obtained some fascinating cosmological features that are coherent with observational evidences and the touchstone ΛCDM model. To find the deterministic solution, we consider a periodic deceleration parameter q = −1 + mcos(kt), where m,k > 0 [M. Shen and L. Zhao, Oscillating quintom model with time periodic varying deceleration parameter, Chin. Phys. Lett. 31 (2014) 010401], which predicts the decelerating and accelerating phases of the universe. The Equation of State (EoS) parameter also supports the idea of DE, which is the dominant component and it is responsible for the universe’s accelerated expansion. Here, we also construct cosmographic parameters, like, H, j, l, S, and studied their evolution in spatially flat κ(R,T) gravity. We find that these observations are sufficient in comparison with the universe’s physical and kinematic properties and also consistent with ongoing (OHD+JLA) observation. Next, we apply the geometric diagnostics, the state-finder (r,s) in κ(R,T) gravity to discriminate from the ΛCDM model. We found that our model lies in quintessence and the Chaplygin Gas region. Finally, the model approaches ΛCDM at the present epoch of the universe.

中文翻译：

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κ(R,T) 引力中的宇宙学情景

在本文中，我们研究了宇宙加速和暗能量（DE）在最近提出的结构中的行为κ(R,吨)引力理论 [GRP 特鲁埃尔，κ(R,吨)重力，欧元。物理。J.C 78(2018) 660]。在这项研究中，我们获得了一些与观测证据和试金石相一致的迷人宇宙学特征Λ清洁发展机制模型。为了找到确定性解决方案，我们考虑一个周期性减速参数q = -1 + 米因(ķ吨)， 在哪里米,ķ > 0[M。Shen 和 L. Zhao，具有时间周期变化减速参数的振荡五元模型，下巴。物理。莱特。 31(2014) 010401]，它预测了宇宙的减速和加速阶段。状态方程 (EoS) 参数也支持 DE 的想法，它是主要的组成部分，它负责宇宙的加速膨胀。在这里，我们还构建了宇宙参数，例如，H,j,l,小号，并研究了它们在空间平面上的演化κ(R,吨)重力。我们发现，与宇宙的物理和运动特性相比，这些观测已经足够，并且与正在进行的（OHD+JLA) 观察。接下来，我们应用几何诊断，状态查找器 (r,s） 在κ(R,吨)重力区别于Λ清洁发展机制模型。我们发现我们的模型位于精髓和 Chaplygin Gas 地区。最后，模型逼近Λ宇宙当前时代的 CDM。