论文标题
Starobinsky $ r^2 $模型的关键崩溃
Critical collapse for the Starobinsky $R^2$ model
论文作者
论文摘要
我们研究了Starobinsky $ r^2 $模型的引力崩溃，这是$ f（r）$理论的一个特定示例，在球形对称的时空中。我们在时空中添加一个无质量标量字段。我们在爱因斯坦的框架中工作，由于保形转换，出现了附加的标量场。与一般相对性一样，根据初始数据，我们发现重力标量场和物理标量场可能会塌陷，形成一个黑洞，其中最终解决方案是Schwarzschild指标。我们通过微调方法发现了黑洞形成的阈值，并研究了在该制度附近的临界崩溃。
We study gravitational collapse for the Starobinsky $R^2$ model, a particular example of an $f(r)$ theory, in a spherically symmetric spacetime. We add a massless scalar field as matter content to the spacetime. We work in the Einstein frame, where an additional scalar field arises due to the conformal transformation. As in general relativity, depending on the initial data, we found that the gravity scalar field and the physical scalar field can collapse, forming a black hole, in which the final solution is the Schwarzschild metric. We found the threshold of black hole formation through a fine-tuning method and studied critical collapse near this regime.
