论文标题
广义标量场宇宙学:渐近行为定理
Generalized scalar field cosmologies: theorems on asymptotic behavior
论文作者
论文摘要
相空间描述用于找到具有任意势能和任意耦合的广义标量场宇宙学解决方案的定性特征。先前的结果总结了,并将新的结果作为定理提出,其中包括以前的推论。当定理的假设未实现时,示出了这些结果的示例以及反例。讨论了具有通货膨胀环 - 量子宇宙学动机的小余弦矫正的潜力。最后,将FRW指标和Bianchi I度量标准的Hubble构型配方应用于具有广义谐波电位的标量场宇宙学,非最少耦合到物质,并讨论了解决方案的稳定性。
Phase-space descriptions are used to find qualitative features of the solutions of generalized scalar field cosmologies with arbitrary potentials and arbitrary couplings to matter. Previous results are summarized and new ones are presented as theorems, which include the previous ones as corollaries. Examples of these results are presented as well as counterexamples when the hypotheses of the theorems are not fulfilled. Potentials with small cosine-like corrections motivated by inflationary loop-quantum cosmology are discussed. Finally, the Hubble-normalized formulation for the FRW metric and for the Bianchi I metric is applied to a scalar field cosmology with a generalized harmonic potential, non-minimally coupled to matter, and the stability of the solutions is discussed.