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arXiv 0807.0069gr-qc
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有挠$R + R^2$引力中的膨胀

Inflation in $R + R^2$ Gravity with Torsion

Chih-Hung Wang, Yu-Huei Wu

摘要:

我们研究了在有挠率的$R + R^2$引力中的暴胀模型,其中$R^2$表示五个独立的二次曲率不变量,结果表明在这个模型中只剩下两个自由参数.我们证明了标度因子$a(t)$的行为是由两个标量场决定的,轴向扭转$χ(t)$和完全反对称曲率$E(t)$,它们满足两个一阶微分方程。在膨胀期间考虑$\dotχ\approx 0$导致幂律膨胀:$a \sim (t+ A)^p$其中$1< p \leq 2 $和常数$A$由$E$、$χ$和两个参数的初始值确定。充气结束后,$χ$和$E$将进入振荡阶段。

英文摘要:

We examine an inflationary model in $R + R^2$ gravity with torsion, where $R^2$ denotes five independent quadratic curvature invariants; it turns out that only two free parameters remain in this model. We show that the behavior of the scale factor $a(t)$ is determined by two scalar fields, axial torsion $χ(t)$ and the totally anti-symmetric curvature $E(t)$, which satisfy two first-order differential equations. Considering $\dotχ\approx 0$ during inflation leads to a power-law inflation: $a \sim (t+ A)^p$ where $1< p \leq 2 $, and the constant $A$ is determined by the initial values of $E$, $χ$ and the two parameters. After the end of inflation, $χ$ and $E$ will enter into an oscillatory phase.

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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