We derive the modifications introduced by extra-spatial dimensions beyond the four dimensional spacetime on the macroscopic properties of neutron stars, which in turn affect the gravitational wave spectrum of their binaries. It turns out that the mass-radius relation of the neutron stars, and their tidal deformability, are affected non-trivially by the presence of extra dimensions, and can be used to constrain parameters associated with those dimensions. Implications for I-Love-Q universality relations are also discussed and utilized to obtain a constraint on one such parameter. Importantly, we show, for the first time, that measurements of the component masses and tidal deformabilities of the binary neutron star system GW170817, constrain the brane tension in the single brane-world model of Randall and Sundrum to be greater than $35.1~\textrm{GeV}^{4}$. This work opens up the possibility of making such a constraint more robust by improving the modelling of binaries on the brane in the future.

中文翻译：

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用 GW170817 的观察约束额外的空间维度

我们推导出由超出四维时空的额外空间维度对中子星的宏观特性引入的修改，这反过来又影响了它们的双星的引力波谱。事实证明，中子星的质量半径关系及其潮汐变形能力受到额外维度存在的重大影响，可用于约束与这些维度相关的参数。还讨论了 I-Love-Q 普遍性关系的含义，并利用它来获得对一个这样的参数的约束。重要的是，我们首次表明，对双中子星系统 GW170817 的分量质量和潮汐变形能力的测量，将 Randall 和 Sundrum 的单膜世界模型中的膜张力限制为大于 35 美元。1~\textrm{GeV}^{4}$。这项工作为将来通过改进膜上二进制文件的建模使这种约束更加稳健开辟了可能性。