Abstract

The \(f(R,T)\) theory of gravity is an extended theory of gravity in which the gravitational action contains both the Ricci scalar \(R\) and the trace of the energy-momentum tensor \(T\), and hence the cosmological models based on \(f(R,T)\) gravity are eligible to describing the late-time acceleration of the present universe. In this paper, we investigate an accelerating model of a flat universe with a linearly varying deceleration parameter (LVDP). We apply the linear time-varying law for the deceleration parameter that generates a model of a transition from an early decelerating phase to the current accelerating phase. We carry out the state-finder and Om(z) analysis, and obtain that the LVDP model has a consistency with the astrophysical observations. We also profoundly discuss a violation of the energy-momentum conservation law in \(f(R,T)\) gravity and the dynamic behavior of the model.

中文翻译：

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$$ \ boldsymbol {f（R，T）} $$重力中平坦宇宙的加速模型

抽象

的\（F（R，T）\）重力的理论是重力的扩展理论，其中重力作用既包含里奇标量\（R \）和能量-动量张量的轨迹\（T \） ，因此基于\（f（R，T）\）的宇宙学模型引力有资格描述当前宇宙的后期加速。在本文中，我们研究了具有线性变化的减速参数（LVDP）的平面宇宙的加速模型。我们将线性时变定律应用于减速参数，该参数生成从早期减速阶段到当前加速阶段的过渡模型。我们进行了状态查找器和Om（z）分析，并获得了LVDP模型与天体物理观测值的一致性。我们还深刻讨论了在\（f（R，T）\）引力下违反能量动量守恒定律和模型的动力学行为。