Abstract Redshift drift refers to the phenomena that redshift of cosmic objects is a function of time. Measurement of redshift drift is of fundamental importance in physical cosmology and can be utilized to distinguish different cosmological models. Redshift drift can be expressed in two distinct methods. The first method is related to cosmography, where the Redshift drift is given as a series expansion of cosmological parameters, while the second method is written as a function of Hubble parameter and its time derivatives which ultimately involve field equations of a chosen theory of gravity. By equating corresponding terms from both the series, the model parameter(s) of any modified theory of gravity can be constrained. The present note aims at constraining the model parameter ζ of f(R, T) gravity theory where f ( R , T ) = R + ζ T . By equating linear terms in redshift z from both the series, we constrain ζ in the range − 0.51 κ 2 ≲ ζ ≲ − 0.47 κ 2 , where κ 2 = 8 π G c 4 .

中文翻译：

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f(R, T) 重力中的红移漂移

摘要 红移漂移是指宇宙天体红移随时间变化的现象。红移漂移的测量在物理宇宙学中至关重要，可用于区分不同的宇宙学模型。红移漂移可以用两种不同的方法表示。第一种方法与宇宙学有关，其中红移漂移是作为宇宙学参数的一系列扩展给出的，而第二种方法被写成哈勃参数及其时间导数的函数，最终涉及所选引力理论的场方程。通过使来自两个系列的相应项相等，可以约束任何修改的重力理论的模型参数。本说明旨在约束 f(R, T) 重力理论的模型参数 ζ ，其中 f ( R , T ) = R + ζ T 。