论文标题

通过电动力学引力波介绍:四极比较

An introduction to gravitational waves through electrodynamics: a quadrupole comparison

论文作者

Dorsch, Glauber C., Porto, Lucas E. A.

论文摘要

我们通过并排比较电磁辐射的四极贡献,对重力波中的某些关键计算进行了教学介绍。通过与矢量对应物的直接类比,更清楚地使涉及量规选择和对横向模式的量规选择和投影的微妙之处更清楚。计算了两种理论中四极力矩发出的力量,并讨论了最终差异的相似之处和起源。最后,我们分析了在辐射排放下结合系统的稳定性,并讨论如何以这种方式建立相互作用的强度。我们使用结果将拟人化限制在牛顿的顺序$ g \ lyssim 3 \ times 10^4 \,g_ \ text {obs} $上,这与恒星形成的相似约束。

We present a pedagogical introduction to some key computations in gravitational waves via a side-by-side comparison with the quadrupole contribution of electromagnetic radiation. Subtleties involving gauge choices and projections over transverse modes in the tensorial theory are made clearer by direct analogy with the vectorial counterpart. The power emitted by the quadrupole moment in both theories is computed, and the similarities as well as the origins of eventual discrepancies are discussed. Finally, we analyze the stability of bound systems under radiation emission, and discuss how the strength of the interactions can be established this way. We use the results to impose an anthropic bound on Newton's constant of order $G\lesssim 3\times 10^4\, G_\text{obs}$, which is on par with similar constraints from stellar formation.

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