Tilted Bianchi type-III cosmological model filled with perfect fluid is investigated in f(R, T) theory of gravity, where R is the Ricci scalar and T is the trace of stress energy momentum tensor. Here we study the class of $$f(R, T) = R + 2f(T)$$ . To decipher the solutions of field equations, we used time power-law form of a metric potential C, i.e. $$ C=t^m$$ , where m is a positive constant, which yields constant deceleration parameter. The solution of field equations represent an expanding model of the Universe. The physical behavior of the model are discussed by using some physical parameters.

中文翻译：

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f(R, T)重力下倾斜的比安奇III型宇宙学模型动力学

在f(R,T)引力理论中研究了充满完美流体的倾斜比安奇III型宇宙学模型，其中R是Ricci标量，T是应力能动量张量的迹。这里我们研究 $$f(R, T) = R + 2f(T)$$ 的类。为了破译场方程的解，我们使用了度量势 C 的时间幂律形式，即 $$ C=t^m$$ ，其中 m 是一个正常数，它产生恒定的减速参数。场方程的解代表了宇宙的膨胀模型。通过使用一些物理参数来讨论模型的物理行为。