论文标题
$ f（r）$重力是否可能发生重力崩溃？
Is gravitational collapse possible in $f(R)$ gravity?
论文作者
论文摘要
在$ f（r）重力理论的背景下，重力崩溃仍然很少了解，因为Oppenheimer-Snyder模型与其连接条件不相容。在这项工作中，我们将为问题提供系统的方法。首先要彻底分析Oppenheimer-Snyder结构应概括以适合度量$ f（r）$重力，我们随后将继续探索与物理上可行的内部兼容的新型外部解决方案的存在。我们的形式主义使我们能够证明一些范式的真空度量标准不能在公制$ f（r）$ gravity中倒塌的尘埃之外的时空。此外，使用结条件，我们发现了大型$ f（r）$模型的新型液泡解决方案，在文献中也首次记录了其外部时空。最后，我们还报告了以前未引起的事实，即重力崩溃的Oppenheimer-Snyder模型与$ f（r）$重力的Palatini配方不兼容。
Gravitational collapse is still poorly understood in the context of $f(R)$ theories of gravity, since the Oppenheimer-Snyder model is incompatible with their junction conditions. In this work, we will present a systematic approach to the problem. Starting with a thorough analysis of how the Oppenheimer-Snyder construction should be generalised to fit within metric $f(R)$ gravity, we shall subsequently proceed to explore the existence of novel exterior solutions compatible with physically viable interiors. Our formalism has allowed us to show that some paradigmatic vacuum metrics cannot represent spacetime outside a collapsing dust star in metric $f(R)$ gravity. Moreover, using the junction conditions, we have found a novel vacuole solution of a large class of $f(R)$ models, whose exterior spacetime is documented here for the first time in the literature as well. Finally, we also report the previously unnoticed fact that the Oppenheimer-Snyder model of gravitational collapse is incompatible with the Palatini formulation of $f(R)$ gravity.
