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arXiv 1807.08049gr-qcastro-ph.HEhep-th
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Einstein-Eraser理论中二元系统的Angular Momentum损失

Angular Momentum Loss for a Binary System in Einstein-Æther Theory

Alexander Saffer, Nicolas Yunes

备注：
9 pages, 2 figures, submitted to PRD
发表信息：
Phys. Rev. D 98, 124015 (2018)
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摘要：

最近的引力波观测提供了对聚结双星极端重力状态的深入了解，其中重力是强的，动态的和非线性的。对这些观测结果的解释依赖于将数据与引力波模型进行比较，而引力波模型又取决于双星的轨道演化，特别是其轨道能量和角动量衰减。在本文中，我们在Einstein-Einstein理论中计算了非自旋致密双星系统的螺旋中的后一种情况。从理论的引力波应力能量张量和平衡定律，我们计算的角动量衰减都作为在理论中的字段的函数，并作为一个功能的多极矩的二进制。然后，我们专门的开普勒参数化的轨道表示的角动量衰减作为一个功能的二进制的轨道要素。最后，我们结合这与轨道能量衰减找到表达式的衰变的半长轴和轨道偏心率的二进制。我们发现，由于偶极辐射的存在，这些衰减率在爱因斯坦-爱因斯坦理论中通常比在广义相对论中更快。这样的修改会在引力波的啁啾率上留下印记，留下爱因斯坦理论的签名，如果数据中没有，可以用来严格限制它。

英文摘要：

The recent gravitational wave observations provide insight into the extreme gravity regime of coalescing binaries, where gravity is strong, dynamical and non-linear. The interpretation of these observations relies on the comparison of the data to a gravitational wave model, which in turn depends on the orbital evolution of the binary, and in particular on its orbital energy and angular momentum decay. In this paper, we calculate the latter in the inspiral of a non-spinning compact binary system within Einstein-Æther theory. From the theory's gravitational wave stress energy tensor and a balance law, we compute the angular momentum decay both as a function of the fields in the theory and as a function of the multipole moments of the binary. We then specialize to a Keplerian parameterization of the orbit to express the angular momentum decay as a function of the binary's orbital elements. We conclude by combining this with the orbital energy decay to find expressions for the decay of the semi-major axis and the orbital eccentricity of the binary. We find that these rates of decay are typically faster in Einstein-Æther theory than in General Relativity due to the presence of dipole radiation. Such modifications will imprint onto the chirp rate of gravitational waves, leaving a signature of Einstein-Æther theory that if absent in the data could be used to stringently constrain it.

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