Abstract

The properties of the solutions of the Klein−Gordon equations for various metrics of the general theory of relativity are considered. It is shown that the presence of singular points of the metric leads to qualitative rearrangement solutions of this equation, and the desingularization of solutions by the choice of a new metric requires a priori assumptions that can lead to formally mathematically correct results, albeit, with paradoxical physical meanings.

中文翻译：

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黑洞事件视域附近的波包动力学

摘要

考虑了广义相对论各种指标的Klein-Gordon方程解的性质。结果表明，度量奇异点的存在会导致该方程的定性重排解，并且通过选择新度量来解奇异化需要先验假设，尽管这可能导致形式上数学上正确的结果，但存在悖论物理意义。