重建描述物质主导相和加速相的f（R，T）引力
Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
摘要：
我们研究了修正f（R，T）引力下的宇宙学重建，其中R是里奇标量，T是应力能量张量的迹。特别注意函数f由f（R，T）= f1（R）+ f2（T）给出的情况。利用两个已知的例子讨论了辅助标量场在膨胀宇宙中的应用。在第一个例子中，为了得到物质主导相和加速相与f（R）引力的统一，通常忽略普通物质，本文证明了在不忽略普通物质的情况下也能得到这种统一。在第二个例子中，与f（R）引力一样，得到了从物质主导相到加速相的f（R，T）引力模型。在这两种情况下，迹线的线性函数被假定为f2（T），并且得到f1（R）与R的幂成比例，其中指数取决于输入参数。
英文摘要：
We investigate the cosmological reconstruction in modified f(R,T) gravity, where R is the Ricci scalar and T the trace of the stress-energy tensor. Special attention is attached to the case in which the function f is given by f (R, T) = f1 (R) + f2 (T). The use of auxiliary scalar field is considered with two known examples for the scale factor corresponding to an expanding universe. In the first example, where ordinary matter is usually neglected for obtaining the unification of matter dominated and accelerated phases with f(R)gravity, it is shown in this paper that this unification can be obtained without neglect ordinary matter. In the second example, as in f(R)gravity, model of f(R, T) gravity with transition of matter dominated phase to the acceleration phase is obtained. In both cases, linear function of the trace is assumed for f2(T) and it is obtained that f1(R) is proportional to a power of R with exponents depending on the input parameters.
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