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arXiv 2201.03629astro-ph.COgr-qchep-th
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标量-矢量-张量理论中的暴胀

Inflation in a scalar-vector-tensor theory

A. Oliveros, Cristhian J. Rodríguez

摘要:

本文研究了不具有$U(1)$规范对称性的标量-矢量-张量引力理论中的暴胀现象。该模型是从海森堡等人(Phys Rev D 98:024038,2018)中引入的更一般的作用量构建的,使用拉格朗日量和耦合函数的某些特定选择。此外,对于这个模型,我们建立了动作的显式形式,并从中导出一般方程:能量-动量张量和运动方程,并利用平坦FLRW背景,分析了利用平坦FLRW背景获得暴胀区的可能性,另外,通过对势、耦合函数、合适的无量纲耦合常数和初始条件的选择,可以用数字验证这种膨胀模型是可行。在这个意义上,我们可以验证,在我们的暴胀模型中引入耦合函数$f(ϕ)$,允许我们达到适当数量的$e$ -折叠$N$以实现充分的暴胀。这是一个值得注意的结果,因为没有耦合函数的贡献,$e$ -折叠的量在暴胀结束时较小,如Heisenberg et al.(2018)所示。此外,模型在膨胀期间必须满足的无鬼和稳定性条件,即,得到了无鬼和线性宇宙学扰动的Laplacian不稳定性的条件,并对这些条件进行了数值验证。

英文摘要:

In this work, we study inflation in a particular scalar-vector-tensor theory of gravitation without the $U(1)$ gauge symmetry. The model is constructed from the more general action introduced in Heisenberg et al. (Phys Rev D 98:024038, 2018) using certain specific choices for the Lagrangians and the coupling functions. Also, for this model we build the explicit form for the action, and from it, we derive the general equations: the energy-momentum tensor and the equations of motion, and using the flat FLRW background, we have analyzed if it's possible to obtain an inflationary regime with it. Additionally, using particular choices for the potential, the coupling functions, suitable dimensionless coupling constants and initial conditions, it was possible verify numerically that this model of inflation is viable. In this sense, we could verify that the introduction of the coupling function $f(ϕ)$ in our model of inflation, allows us to reach a suitable amount of $e$-foldings $N$ for sufficient inflation. This is a remarkable result, since without the coupling function contribution, the amount of $e$-foldings is smaller at the end of inflation, as has been demonstrated in Heisenberg et al. (2018). Also, the no-ghosts and stability conditions that the model during inflation must satisfy, i.e., absence of ghosts and Laplacian instabilities of linear cosmological perturbations were obtained, furthermore these conditions were verified numerically too.

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