论文标题
$α'$ - 宇宙学：解决方案和稳定性分析
$α'$-Cosmology: solutions and stability analysis
论文作者
论文摘要
我们在物质存在并研究其解决方案的情况下，将$ $ $（D，d）$协变量的弦乐宇宙学对$α'$中的所有订单进行了回顾。我们表明，在没有降量电荷的情况下，恒定diLATON的扰动分析不会导致状态的时间非依赖性方程。同时，运动的非扰动方程式允许通过状态方程和延伸电荷参数的字符串框架中的de Sitter溶液。在这组解决方案中，我们表明，状态的宇宙恒定方程意味着在弦和爱因斯坦框架中具有de Sitter解决方案，而状态的绕组方程意味着前者中的de Sitter解决方案，而后者则是静态阶段。我们还考虑了这些解决方案在均质线性扰动下的稳定性，并表明它们不稳定，因此可以定义可行的宇宙学场景。
We review O$(d,d)$ Covariant String Cosmology to all orders in $α'$ in the presence of matter and study its solutions. We show that the perturbative analysis for a constant dilaton in the absence of a dilatonic charge does not lead to a time-independet equation of state. Meanwhile, the non-perturbative equations of motion allow de Sitter solutions in the String frame parametrized by the equation of state and the dilatonic charge. Among this set of solutions, we show that a cosmological constant equation of state implies a de Sitter solution both in String and Einstein frames while a winding equation of state implies a de Sitter solution in the former and a static phase in the latter. We also consider the stability of these solutions under homogeneous linear perturbations and show that they are not unstable, therefore defining viable cosmological scenarios.
