In this study, Friedmann–Robertson–Walker space-time filled with a perfect fluid in f(R,T) modified theory, where R is the Ricci scalar and T is the trace of the energy–momentum tensor of matter, has been considered. The investigation of the phase transition of the universe from the decelerating expansion phase to the accelerating one has been made by adopting a special form of the varying deceleration parameter that is inversely proportional to the Hubble parameter. The exact solution of the field equations has been derived. The kinematic and dynamical quantities of the model have been obtained and their evolutions have been discussed by means of their graphs. The statefinder diagnostic has been used and the age of the universe has been computed for testing the validity of the model. It has been shown that the dominant energy of the model is ordinary matter which behaves as the SCDM model at the beginning and it is a quintessence like fluid which behaves as the ΛCDM model at late times.

中文翻译：

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f(R,T) 引力中的 FRW 宇宙

在这项研究中，弗里德曼-罗伯逊-沃克时空充满了完美的流体F(R,吨)修正理论，其中R是 Ricci 标量和吨是物质的能量-动量张量的迹线，已被考虑。通过采用与哈勃参数成反比的变减速参数的特殊形式，对宇宙从减速膨胀阶段到加速膨胀阶段的相变进行了研究。导出了场方程的精确解。已经获得了模型的运动学和动力学量，并通过它们的图表讨论了它们的演变。已使用 statefinder 诊断并计算宇宙年龄以测试模型的有效性。已经表明，该模型的主要能量是普通物质，一开始表现为SCDM模型，它是一种典型的流体，表现为Λ后期的 CDM 模型。