We study a collapsing system attracted by a spherically symmetric gravitational source, with an increasing mass, that generates back-reaction effects that are the source of space–time waves. As an example, we consider an exponential collapse and the space–time waves emitted during this collapse due to the back-reaction effects, originated by geometrical deformation driven by the increment of the gravitational attracting mass during the collapse.

中文翻译：

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带有引力吸引子的坍塌宇宙中的时空波

我们研究了质量不断增加的球对称重力源所吸引的坍缩系统，该系统产生的后反应效应是时空波的来源。例如，我们考虑了一次指数倒塌，以及在倒塌期间由于后反应效应而发出的时空波，这种时空波是由倒塌过程中重力吸引质量的增加所驱动的几何变形引起的。