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arXiv 1105.4685astro-ph.COgr-qchep-phhep-th
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修正引力理论中的混沌暴胀

Chaotic inflation in modified gravitational theories

Antonio De Felice, Shinji Tsujikawa, Joseph Elliston, Reza Tavakol

摘要:

我们研究混沌膨胀的背景下修改的引力理论。我们的分析涵盖的模型的基础上(i)场耦合$ω(ϕ)$与动能$X$和一个nonmimumatic耦合$ζϕ^{2} R/2$与里奇标量$R$,(ii)布朗-迪克(BD)理论,(iii)高斯-邦纳(GB)重力,(iv)重力与伽利略校正。膨胀耦合的动能和/或负的非最小耦合显示,导致与观测的宇宙微波背景(CMB)温度各向异性的自耦合膨胀势$V(ϕ)=λϕ^{4}/4$兼容。包含二次暴胀子势的BD理论,它覆盖了包含BD参数$ω_{BD}=0$的Starobinsky的$f(R)$模型$f(R)=R+R^{2}/(6M^{2})$,对于减小的$ω_{BD}$,产生了较小的张量标量比。在存在一个GB项耦合到场$ϕ$,我们表示的标量/张量谱指数$n_{s}$和$n_{t}$以及张量-标量比$r$的两个慢滚参数和地方的GB耦合的强度从联合数据分析的WMAP 7年结合其他观测的界限。我们还研究了具有指数耦合$Φ(ϕ) \propto e^{μϕ}$的类Galileon自相互作用$Φ(ϕ) X \squareϕ$。使用CMB的可能性分析,我们把边界上的Galileon耦合的强度,并表明,自耦合的潜力,实际上可以与观测兼容的指数耦合与$μ>0$的存在。

英文摘要:

We study chaotic inflation in the context of modified gravitational theories. Our analysis covers models based on (i) a field coupling $ω(ϕ)$ with the kinetic energy $X$ and a nonmimimal coupling $ζϕ^{2} R/2$ with a Ricci scalar $R$, (ii) Brans-Dicke (BD) theories, (iii) Gauss-Bonnet (GB) gravity, and (iv) gravity with a Galileon correction. Dilatonic coupling with the kinetic energy and/or negative nonminimal coupling are shown to lead to compatibility with observations of the Cosmic Microwave Background (CMB) temperature anisotropies for the self-coupling inflaton potential $V(ϕ)=λϕ^{4}/4$. BD theory with a quadratic inflaton potential, which covers Starobinsky's $f(R)$ model $f(R)=R+R^{2}/(6M^{2})$ with the BD parameter $ω_{BD}=0$, gives rise to a smaller tensor-to-scalar ratio for decreasing $ω_{BD}$. In the presence of a GB term coupled to the field $ϕ$, we express the scalar/tensor spectral indices $n_{s}$ and $n_{t}$ as well as the tensor-to-scalar ratio $r$ in terms of two slow-roll parameters and place bounds on the strength of the GB coupling from the joint data analysis of WMAP 7yr combined with other observations. We also study the Galileon-like self-interaction $Φ(ϕ) X \squareϕ$ with exponential coupling $Φ(ϕ) \propto e^{μϕ}$. Using a CMB likelihood analysis we put bounds on the strength of the Galileon coupling and show that the self coupling potential can in fact be made compatible with observations in the presence of the exponential coupling with $μ>0$.

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