标题： 广义Vaidya时空中的玻色-爱因斯坦凝聚暗物质的引力坍缩 显示英文标题

标题： Gravitational Collapse of Bose-Einstein condensate dark matter in Generalized Vaidya spacetime

摘要： 在本工作中，我们研究了具有玻色-爱因斯坦凝聚暗物质密度分布的广义Vaidya时空中的引力坍缩过程。我们使用广义Vaidya度规来模拟大恒星的时空，并随后得到场方程。然后我们通过求解场方程来确定恒星系统的质量参数。接着利用所得解来研究引力坍缩机制。研究坍缩结束时形成的奇点（如果存在）的性质是主要目标。作为玻色-爱因斯坦凝聚形式的暗物质预计将在坍缩的最终命运中起到关键作用。我们发现，根据初始条件的不同，坍缩的最终状态有可能形成黑洞和裸奇点。通过Vaidya外部和Friedmann内部得到了连接条件，并获得了一些重要的见解。生成并详细研究了一张显示时空之间因果关系的Penrose图。 显示英文摘要

摘要： In this work, we study the gravitational collapse procedure in generalized Vaidya spacetime with Bose-Einstein condensate dark matter density profile. We use the generalized Vaidya metric to simulate the spacetime of a big star and subsequently obtain the field equations. Then we proceed to determine the star system's mass parameter by solving the field equations. Then the gravitational collapse mechanism is investigated using the derived solutions. Investigating the nature of the singularity (if formed) as the end state of the collapse is the main goal. Dark matter in the form of Bose-Einstein condensate is expected to play a crucial role in the fate of the collapse. We see that there is a possibility of the formation of both black holes and naked singularities as the end state of the collapse depending upon the initial conditions. The junction conditions are derived with a Vaidya exterior and a Friedmann interior and some important insights are obtained. A Penrose diagram showing the causal relations between the spacetimes is generated and studied in detail.