论文标题
K-Dynamics：k-Essence中的1+1个演变
K-dynamics: well-posed 1+1 evolutions in K-essence
论文作者
论文摘要
我们研究了k eSsence的真空库奇问题，即涉及一阶导数自相互作用的宇宙学相关标量张量理论，并通过了所有现有的引力波边界。我们局限于球形对称性，并表明存在大量的理论，即使在存在标量冲击/苛性碱存在的情况下，除了足够接近关键的黑洞崩溃的一小部分初始数据外，凯奇问题的崩溃也不会出现在明显的黑洞视野外。我们表征了这些有问题的初始数据，并表明它们会导致特征曲线的较大甚至不同（坐标）的速度。我们讨论了这个问题的身体相关性，并提出了克服问题的方法。
We study the vacuum Cauchy problem for K-essence, i.e. cosmologically relevant scalar-tensor theories that involve first-order derivative self-interactions, and which pass all existing gravitational wave bounds. We restrict to spherical symmetry and show that there exists a large class of theories for which no breakdown of the Cauchy problem occurs outside apparent black hole horizons, even in the presence of scalar shocks/caustics, except for a small set of initial data sufficiently close to critical black hole collapse. We characterise these problematic initial data, and show that they lead to large or even diverging (coordinate) speeds for the characteristic curves. We discuss the physical relevance of this problem and propose ways to overcome it.
