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arXiv 1708.08285gr-qc
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双中子星动态标度化的有效action模型

An effective action model of dynamically scalarizing binary neutron stars

Noah Sennett, Lijing Shao, Jan Steinhoff

摘要:

引力波可以用来在强场的高度动态状态下检验广义相对论(GR)。标量-张量引力理论是GR的天然替代物,它可以证明中子星(NS)中的非微扰现象。其中一种现象称为动态标量化,发生在合并的二元NS系统中。地基引力波探测器可能对这种效应很敏感,因此可能进一步限制标量张量理论。这种类型的分析需要动态标量化系统的波形模型,在这项工作中,我们设计了一个分析模型的动态标量化使用有效的行动方法。第一次,我们计算牛顿阶哈密顿描述动态标量化二进制的自洽方式的动态。尽管只工作到前导阶,该模型准确地预测了动力学标量化发生的频率。结合朗道理论,我们的模型可以明确地建立动态标量化为二阶相变。我们还将动力学标量化与自发标量化和诱导标量化的相关现象联系起来;这些现象自然包含在我们的有效行动方法中。

英文摘要:

Gravitational waves can be used to test general relativity (GR) in the highly dynamical strong-field regime. Scalar-tensor theories of gravity are natural alternatives to GR that can manifest nonperturbative phenomena in neutron stars (NSs). One such phenomenon, known as dynamical scalarization, occurs in coalescing binary NS systems. Ground-based gravitational-wave detectors may be sensitive to this effect, and thus could potentially further constrain scalar-tensor theories. This type of analysis requires waveform models of dynamically scalarizing systems; in this work we devise an analytic model of dynamical scalarization using an effective action approach. For the first time, we compute the Newtonian-order Hamiltonian describing the dynamics of a dynamically scalarizing binary in a self-consistent manner. Despite only working to leading order, the model accurately predicts the frequency at which dynamical scalarization occurs. In conjunction with Landau theory, our model allows one to definitively establish dynamical scalarization as a second-order phase transition. We also connect dynamical scalarization to the related phenomena of spontaneous scalarization and induced scalarization; these phenomena are naturally encompassed into our effective action approach.

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