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arXiv 2109.11599gr-qcastro-ph.COastro-ph.HEhep-th
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引力记忆和紧凑的额外维度

Gravitational Memory and Compact Extra Dimensions

Christian Ferko, Gautam Satishchandran, Savdeep Sethi

摘要:

我们开发了一个一般的形式主义治疗辐射自由度附近的$\mathscr{I}^{+}$的理论与任意Ricci平坦的内部空间。这些辐射模式被编码在一个广义的新闻张量分解成引力,电磁和标量分量。我们找到了一个更好的规范,它简化了全非线性爱因斯坦方程的渐近分析,并使渐近对称群透明。这个渐近对称群扩展了BMS群,使其包含了内部空间的依赖于角度的等距。我们应用这种形式主义来研究记忆效应,这是预计将在未来的实验中观察到的,所产生的高维引力辐射爆发。我们概述了如何测量引力波天文台可能探测属性的紧凑的额外的维度。

英文摘要:

We develop a general formalism for treating radiative degrees of freedom near $\mathscr{I}^{+}$ in theories with an arbitrary Ricci-flat internal space. These radiative modes are encoded in a generalized news tensor which decomposes into gravitational, electromagnetic, and scalar components. We find a preferred gauge which simplifies the asymptotic analysis of the full nonlinear Einstein equations and makes the asymptotic symmetry group transparent. This asymptotic symmetry group extends the BMS group to include angle-dependent isometries of the internal space. We apply this formalism to study memory effects, which are expected to be observed in future experiments, that arise from bursts of higher-dimensional gravitational radiation. We outline how measurements made by gravitational wave observatories might probe properties of the compact extra dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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