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arXiv 2106.06145gr-qcastro-ph.COhep-th
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标量扭转$f(T,ϕ)$引力中暴胀的重建

Reconstructing inflation in scalar-torsion $f(T,ϕ)$ gravity

Manuel Gonzalez-Espinoza, Ramón Herrera, Giovanni Otalora, Joel Saavedra

摘要:

研究了最一般的标量-挠率理论在慢卷暴胀过程中的重构问题,其拉格朗日密度是遥平行引力的挠率标量$T$和暴胀子$ϕ$的任意函数$f(T,ϕ)$.对于具有拉格朗日密度$f(T,ϕ)=-M_{pl}^{2} T/2 - G(T) F(ϕ) - V(ϕ)$的理论类,当$G(T)\sim T^{s+1}$和幂$s$为常数时,我们考虑了一种重建方案,通过将标量谱指数$n_{s}(N)$和张量-标量比$r(N)$参数化(或吸引子)为$e-$折叠数$N$的函数来确定非最小耦合函数$F(ϕ)$和标量势$V(ϕ)$.作为具体的例子,我们分析了吸引子$n_{s}-1 \propto 1/N$和$r\propto 1/N$,以及情况$r\propto 1/N (N+γ)$与$γ$无量纲常数。在这个意义上,并根据所考虑的吸引子,我们得到不同的表达式的功能$F(ϕ)$和潜在的$V(ϕ)$,也存在于我们的模型和重建的参数的约束。

英文摘要:

It is investigated the reconstruction during the slow-roll inflation in the most general class of scalar-torsion theories whose Lagrangian density is an arbitrary function $f(T,ϕ)$ of the torsion scalar $T$ of teleparallel gravity and the inflaton $ϕ$. For the class of theories with Lagrangian density $f(T,ϕ)=-M_{pl}^{2} T/2 - G(T) F(ϕ) - V(ϕ)$, with $G(T)\sim T^{s+1}$ and the power $s$ as constant, we consider a reconstruction scheme for determining both the non-minimal coupling function $F(ϕ)$ and the scalar potential $V(ϕ)$ through the parametrization (or attractor) of the scalar spectral index $n_{s}(N)$ and the tensor-to-scalar ratio $r(N)$ as functions of the number of $e-$folds $N$. As specific examples, we analyze the attractors $n_{s}-1 \propto 1/N$ and $r\propto 1/N$, as well as the case $r\propto 1/N (N+γ)$ with $γ$ a dimensionless constant. In this sense and depending on the attractors considered, we obtain different expressions for the function $F(ϕ)$ and the potential $V(ϕ)$, as also the constraints on the parameters present in our model and its reconstruction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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