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arXiv 2007.10971gr-qchep-thquant-ph
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负宇宙学常数尘埃坍缩中的量子势

Quantum potential in dust collapse with a negative cosmological constant

Sandip Chowdhury, Kunal Pal, Kuntal Pal, Tapobrata Sarkar

摘要:

在泛函薛定谔形式主义中,我们得到的波函数描述坍缩的尘埃在反德西特背景下,所看到的共同运动的观察者,通过映射所得到的变质量薛定谔方程的量子保序振子。利用这个波函数,我们进行了因果de Broglie-Bohm分析,并得到了相应的量子势。我们通过一个非正式的变换,结合量子效应,构建了一个弹跳几何。我们导出了与此相匹配的外部解,并且是量子校正的。由于来自量子势的压力项,具有负宇宙学常数的初始坍缩解在达到最小半径后反弹回来,从而避免了广义相对论预测的经典奇点。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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