论文标题
在标量调整的重力理论中正式化慢速通胀
Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
论文作者
论文摘要
通过考虑引力标量调整理论中的相位结构,可以检查慢滚近近似的生存能力,并用非微小耦合的标量场与时空曲率示例分析。慢速场方程以两种方式在Jordan框架中获得:首先在最小耦合案例中直接概括为非最小的耦合情况,然后再使用Sofformal将爱因斯坦框架中的慢速滚动场方程转换为Jordan框架,然后应用了广泛的慢速条件。由电势V(ϕ)\ Propto ϕ^2 $和$ V(ϕ)\ propto ϕ^4 $控制的两个通货膨胀模型被认为是根据最近观察数据的$ n_s $和$ r $值的分析来比较两种方法的结果。
The viability of slow-roll approximation is examined by considering the structure of phase spaces in scalar-tensor theories of gravitation and the analysis is exemplified with a nonminimally coupled scalar field to the spacetime curvature. The slow-roll field equations are obtained in the Jordan frame in two ways: first using the direct generalization of the slow-roll conditions in the minimal coupling case to nonminimal one, and second, conformal transforming the slow-roll field equations in the Einstein frame to the Jordan frame and then applying the generalized slow-roll conditions. Two inflationary models governed by the potentials $V(ϕ) \propto ϕ^2$ and $V(ϕ) \propto ϕ^4$ are considered to compare the outcomes of two methods based on the analysis of $n_s$ and $r$ values in the light of recent observational data.