基于GW170817的余维2膜宇宙学
Shortcut in codimension-2 brane cosmology in light of GW170817
摘要：
在本文中，我们的宇宙被视为一个余维2膜嵌入在一个非紧的六维反德西特（AdS）时空。我们在低能近似下导出了膜上的引力视界半径，它反映了额外维如何引起引力波（GW）的捷径效应。结合GW 170817/GRB 170817 A的联合观测，我们还研究了在低红移极限下GW信号和电磁波信号之间的时间延迟，给出了$\text{AdS}_{6}^{~}$半径的上限为$\ell^{2}_{~} \lesssim 3.84\,\text{Mpc}^{2}_{~}$。对于一个高红移源，时间延迟被转换成之间的差异源的红移来自GW信号和一个来自EM对应。结果发现，如果一个人希望在合理的观测时间内检测到一个高红移GW事件的EM对应物，它需要一个更强的约束的$\text{AdS}_{6}^{~}$半径。我们的研究表明，$\text{AdS}_{6}^{~}$半径应满足$\ell^{2}_{~}\lesssim0.02\,\text{Mpc}^{2}_{~}$的DECIGO和BBO。
英文摘要：
In this paper, our universe is regarded as a codimension-2 brane embedded in a noncompact six-dimensional Anti-de Sitter (AdS) spacetime. We derive the gravitational horizon radius on the brane under the low-energy approximation, which reflects how the extra dimensions cause the shortcut effect of gravitational waves (GWs). We also study the time delay between a GW signal and an electromagnetic (EM) wave signal in the low-redshift limit by combining with the joint observations of GW170817/GRB 170817A, which gives an upper limit to the $\text{AdS}_{6}^{~}$ radius as $\ell^{2}_{~} \lesssim 3.84\,\text{Mpc}^{2}_{~}$. For a high-redshift source, the time delay is converted into the discrepancy between the source redshift derived from the GW signal and the one derived from the EM counterpart. It is found that if one expects to detect the EM counterpart of a high-redshift GW event within a reasonable observation time, it requires a stronger constraint on the $\text{AdS}_{6}^{~}$ radius. Our research shows that the $\text{AdS}_{6}^{~}$ radius should satisfy $\ell^{2}_{~}\lesssim0.02\,\text{Mpc}^{2}_{~}$ for the DECIGO and BBO.
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