标题： 膜世界中的引力坍缩再审视 显示英文标题

标题： Gravitational collapse in brane-worlds revisited

摘要： 本文旨在重新审视在Snyder-Oppenheimer方案下，膜对恒星结构坍缩造成的修改。 由于模型的均匀性和各向同性，我们选择研究由$k=1$描述的闭合几何情况，通过动力系统工具进行研究。 我们重新审视恒星的不同组成部分及其在恒星坍缩过程中的演化，特别关注来自膜修正的非局部效应和能量动量张量的二次项。 同样，我们绘制了相图并进行了稳定性分析，以获取关于不同密度参数初始条件下的动力系统吸引子或鞍点的信息，强调来自膜贡献的参数。 显示英文摘要

摘要： This paper is dedicated to revisit the modifications caused by branes in the collapse of a stellar structure under the Snyder-Oppenheimer scheme. Due to the homogeneity and isotropy of the model, we choose study the case of a closed geometry described by $k=1$, through the tool of dynamical systems. We revisit the different components of the star and its evolution during the stellar collapse, paying particular attention to the non-local effects and the quadratic terms of the energy momentum tensor that come from branes corrections. In the same vein we realize a phase portrait together with a stability analysis with the aim of obtain information about the attractors or saddle points of the dynamical system under different initial conditions in the density parameters, remarking the parameters that come from branes contributions.