论文标题

Horndeski标量场重力模型的稳定性条件

Stability Conditions for the Horndeski Scalar Field Gravity Model

论文作者

Gomes, Cláudio, Bertolami, Orfeu

论文摘要

我们通过诉诸于Witten的正能定理,限制了用等效的广义Galileon版本写的Horndeski Gravity的可行模型。我们发现,拉格朗日中的免费函数$ g_3(ϕ,x)$被限制为仅是标量字段的函数,$ g_3(ϕ)$,并且找到了免费功能之间的关系。还分析了其他稳定标准,例如重力的吸引力,Dolgov-Kawasacki不稳定性和能量条件。讨论了一些宇宙学应用程序

We constrain the viable models of Horndeski gravity, written in its equivalent Generalised Galileon version, by resorting to the Witten positive energy theorem. We find that the free function $G_3(ϕ, X)$ in the Lagrangian is constrained to be a function solely of the scalar field, $G_3(ϕ)$, and relations among the free functions are found. Other criterion for stability are also analysed, such as the attractiveness of gravity, the Dolgov-Kawasacki instability and the energy conditions. Some applications for Cosmology are discussed

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