论文标题
尘埃倒塌的量子潜力，负宇宙常数
Quantum potential in dust collapse with a negative cosmological constant
论文作者
论文摘要
在功能性的Schrodinger形式主义中，我们通过将所得可变的schrodinger方程映射到量子等渗振荡器的波动式观察者来获得描述抗DE保姆背景中塌陷的灰尘的波函数。使用此波函数，我们执行因果关系，并获得相应的量子电位。我们通过异构变换构建弹跳几何形状，并结合量子效应。我们得出与该解决方案平滑匹配的外部解决方案，并且也经过量子校正。由于源自量子电位的压力项，最初溶解的溶液在达到最小半径后会反弹，从而避免通过一般相对性预测的经典奇异性。
In the functional Schrodinger formalism, we obtain the wave function describing collapsing dust in an anti-de Sitter background, as seen by a co-moving observer, by mapping the resulting variable mass Schrodinger equation to that of the quantum isotonic oscillator. Using this wave function, we perform a causal de Broglie-Bohm analysis, and obtain the corresponding quantum potential. We construct a bouncing geometry via a disformal transformation, incorporating quantum effects. We derive the external solution that matches with this smoothly, and is also quantum corrected. Due to a pressure term originating from the quantum potential, an initially collapsing solution with a negative cosmological constant bounces back after reaching a minimum radius, and thereby avoids the classical singularity predicted by general relativity.
