论文标题

rastall-type和F(r,t)重力之间的连接

A connection between Rastall-type and f(R, T) gravities

论文作者

Shabani, Hamid, Ziaie, Amir Hadi

论文摘要

最近,在F(r,t)重力的框架中提出了一种针对Rastall Gravity(RG)的Lagrangian配方。在目前的工作中,假设物质含量是具有线性状态方程(EOS)的完美流体,我们为标准rastall理论获得拉格朗日公式。因此,我们发现拉格朗日的耦合常数,rastall重力耦合常数与EOS参数之间的关系。我们还为广义的Rastall Gravity(GRG)提出了一个Lagrangian。在这种情况下,常数的rastall参数将被变量替换。更确切地说,它是RICCI标量和能量动量张量(EMT)的轨迹的函数。在这两个上述模型中,拉格朗日人都是由R和T的线性函数构建的。

Recently a Lagrangian formulation for Rastall Gravity (RG) has been proposed in the framework of f(R, T) gravity. In the present work we obtain Lagrangian formulation for the standard Rastall theory assuming the matter content is a perfect fluid with linear Equation of State (EoS). We therefore find a relation between the coupling constant of the Lagrangian, the Rastall gravitational coupling constant and the EoS parameter. We also propose a Lagrangian for the Generalized Rastall Gravity (GRG). In this case the Rastall parameter which is a constant is replaced by a variable one. More exactly, it appears as a function of the Ricci scalar and the trace of the Energy Momentum Tensor (EMT). In both mentioned models, the Lagrangians are constructed by a linear function of R and T.

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