论文标题

$ f(r,t^ϕ)$带标量字段合规性的宇宙学模型

The cosmological model in $ f(R,T^ϕ) $ gravity with Scalar Field conformity

论文作者

Singh, J. K., Singh, Akanksha, Shaily, Jena, J.

论文摘要

讨论了与标量场相关的广义$ f(r,t^ϕ)$理论中的同质和各向同性宇宙学模型,这是由Harko等人研究的$ f(r,t)$重力理论的动机。 \ cite {harko:2011KV,harko:2014pqa}。 $ f(r,t^ϕ)$重力可以解释为$ f(r,t)$重力,带有自相互作用的标量场$ ϕ $,其中$ t^ϕ $是能量momentum张量的痕迹。哈勃参数$ h(t)$的参数化被视为$α-βe^{ - γt} $,其中$α$,$β$和$γ$是任意常数,例如$α,γ> 0 $ $ $ $ $β<0 $。该模型没有显示时空的奇异性,宇宙的扩展将永远继续下去,即宇宙的未来情况达到了大冻结。该模型可以预测宇宙演变时中等通货膨胀的情况,并且与后期$λ$ CDM一致。该模型的一致性也已使用最新的观察性哈勃数据集和超新星数据集进行了检查。最后,已经详细讨论了模型的物理特征。

The homogeneous and isotropic cosmological model in generalized $ f(R,T^ϕ) $ theories associated with scalar field is discussed, which is motivated by the $ f(R,T) $ theory of gravity studied by Harko et al. \cite{Harko:2011kv, Harko:2014pqa}. The $ f(R,T^ϕ) $ gravity can be explained as $ f(R,T) $ gravity with a self-interacting scalar field $ ϕ$, where $ T^ϕ$ is the trace of the energy-momentum tensor. The parametrization of Hubble parameter $ H(t) $ is taken as $ α-βe^{-γt} $, where $ α$, $β$ and $γ$ are arbitrary constants such that $ α, γ>0 $ and $ β<0 $. The model shows no space-time singularity and the expansion of the universe will continue forever, i.e., the future scenario of the universe attains Big Freeze. The model predicts the moderate inflationary scenario at the time of the evolution of the universe and it is consistent with $ Λ$CDM in late times. The consistency of the model has also been examined using recent observational Hubble dataset and supernovae dataset. Finally, the physical features of the model have been discussed in some detail.

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