论文标题

用两体问题测试重力

Testing gravity with the two-body problem

论文作者

Kuntz, Adrien

论文摘要

重力波为重力强度方向提供了新的探针。因此,必须确定对两体问题性质的一般相对性的预测,并将其与替代理论进行对比。该论文旨在比较使用有效的现场理论技术对重力可观察物的一般相对性和标量调整理论的预测。在第一部分中,我们展示了如何将简单的标量理论嵌入到两体问题的非相关性一般相对性方法中,并突出其基本特征。此外,我们研究标量偶联对两体动力学的影响,并引入重新召集技术。这种新的非忠实标量tensor形式主义将为研究本文第二部分的核心,以研究Vainshtein机制的研究为基础。最后,在最后一部分中,我们设计了一种有效的田间理论形式主义,该理论适应了具有标量头发的理论,以极端的质量比率为特征。

Gravitational waves provide a new probe into the strong-field regime of gravity. It is thus essential to identify the predictions of General Relativity on the nature of the two-body problem, and to contrast them to alternative theories. This thesis aims at comparing the predictions of General Relativity and scalar-tensor theories on gravitational observables using Effective Field Theory techniques. In a first part, we show how simple scalar-tensor theories can be embedded in the Non-Relativistic General Relativity approach to the two-body problem and highlight their essential features. Furthermore, we study the effects of a disformal coupling of the scalar on the two-body dynamics and introduce a resummation technique. This new Non-Relativistic Scalar-Tensor formalism will provide a basis for the study of the Vainshtein mechanism in two-body configurations which is at the core of the second part of this thesis. Finally, in a last part we devise an Effective Field Theory formalism adapted to gravitational wave generation in theories featuring scalar hair, in the extreme mass ratio regime.

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