Title: Effective Quantum Gravitational Collapse in a Polymer Framework Show Chinese title

Title: 基于聚合物框架的有效量子引力坍缩

Abstract: We study how the presence of an area gap, different than zero, affects the gravitational collapse of a dust ball. The implementation of such discreteness is achieved through the framework of polymer quantization, a scheme inspired by loop quantum gravity (LQG). We study the collapse using variables which represent the area, in order to impose the non-zero area gap condition. The collapse is analyzed for both the flat and spherical Oppenheimer-Snyder models. In both scenarios the formation of the singularity is avoided, due to the inversion of the velocity at finite values of the sphere surface. This happens due to the presence of a negative pressure, with origins at a quantum level. When the inversion happens inside the black hole event horizon, we achieve a geometry transition to a white hole. When the inversion happens outside the event horizon, we find a new possible astrophysical object. A characterization of such hypothetical object is done. Some constraints on the value for the area gap are also imposed in order to maintain the link with our already established physical theories. Show Chinese abstract

Abstract: 我们研究了非零面积间隙的存在如何影响尘埃球的引力坍缩。 这种离散性的实现是通过聚合物量子化的框架完成的，该方案受到圈量子引力（LQG）的启发。 我们使用代表面积的变量来研究坍缩，以便施加非零面积间隙条件。 坍缩被分析为扁平和球形奥本海默-锡德纳模型。 在这两种情况下，由于球面表面有限值处速度的反转，奇点的形成得以避免。 这是由于存在一个起源于量子层面的负压。 当反转发生在黑洞事件视界内部时，我们实现了几何过渡到白洞。 当反转发生在事件视界外部时，我们发现了一种新的可能的天体物理对象。 对该假设物体进行了特征描述。 为了与我们已经建立的物理理论保持联系，还对面积间隙的值施加了一些限制。