论文标题
$ f（r，g，\ mathcal {t}）$重力的构造来自宇宙的某些扩展
Constructions of $f(R,G,\mathcal{T})$ Gravity from Some Expansions of the Universe
论文作者
论文摘要
在这里，我们提出了扩展修改的重力理论，称为$ f（r，g，\ nathcal {t}）$重力，其中$ r $是ricci scalar，$ g $是高斯 - 骨网状不变性，而$ \ mathcal {t} $是压力型剂量的痕迹。我们通过采用最小动作原理来得出$ f（r，g，\ natercal {t}）$重力的重力场方程。接下来，我们将在$ r $，$ g $和$ r $，$ g $和$ \ mathcal {t} $中构建$ f（r，g，\ m natercal {t}）$，以及de Sitter以及Power Law的扩展。如果扩展遵循有限的未来单人音乐（Big Rip Singularity），我们还会构建$ f（r，g，\ mathcal {t}）$。我们研究了这种修饰的重力理论的能量条件，并检查了所有能量条件的有效性。最后，我们分析了构建的修饰重力的稳定性。
Here we propose the extended modified gravity theory named as $f(R,G,\mathcal{T})$ gravity where $R$ is the Ricci scalar, $G$ is the Gauss-Bonnet invariant and $\mathcal{T}$ is the trace of the stress-energy tensor. We derive the gravitational field equations in $f(R,G,\mathcal{T})$ gravity by taking least action principle. Next we construct the $f(R,G,\mathcal{T})$ in terms of $R$, $G$ and $\mathcal{T}$ in de Sitter as well as power law expansion. We also construct $f(R,G,\mathcal{T})$ if the expansion follows the finite time future singulary (big rip singularity). We investigate the energy conditions in this modified theory of gravity and examine the validities of all energy conditions. Finally, we analyze the stability of the constructed modified gravity.
