论文标题
用丽莎未来引力波警报器限制宇宙学量表的额外维度
Constraining extra dimensions on cosmological scales with LISA future gravitational wave siren data
论文作者
论文摘要
我们研究了当前宇宙加速度可能是重力泄漏到宇宙学量表上的额外维度的结果,而不是非零宇宙学常数的结果,并考虑了未来重力波警笛观察的能力来探测这种现象并限制了这种重力泄漏的现象学模型的参数。在包括其他非紧密时空维度的理论中,重力泄漏介绍额外的尺寸会导致观察到的重力波的振幅降低,从而在从GW和EM观察值中推断为此类来源的距离之间存在系统的差异。我们研究了重力空间干涉仪(例如Lisa)在大尺度上探测这种修饰的重力的能力。我们发现,丽莎能够在多大程度上对时空维度的数量和表征改良重力的其他宇宙学参数限制,这将在很大程度上取决于源的实际数量和红移分布,以及GW测量的不确定性。相对较少的来源($ \ sim 1 $)和高测量不确定性将严重限制丽莎在宇宙学场景中对参数放置有意义的约束的能力,在宇宙学场景中,重力仅是五维的,并且在比\ sim 4 $ 4 $ times the Hubble radius大约$ \ sim的刻度上进行了修改。相反,如果观察到的来源数量达到$ \ sim 27 $的四年平均值,那么在最有利的宇宙学场景中,丽莎有可能将有意义的约束放在宇宙学参数上,精度$ \ sim 1 \%$ $ \%$ $ $ \%$在尺寸和$ \ sim 7.5 \ sim 7.5 \%的尺寸上,该尺度上的一定限制了一定的限制,该量子的范围是一定的。 $ \ sim 8 $的红移。
We investigate the idea that current cosmic acceleration could be the consequence of gravitational leakage into extra dimensions on cosmological scales rather than the result of a non-zero cosmological constant, and consider the ability of future gravitational-wave siren observations to probe this phenomenon and constrain the parameters of phenomenological models of this gravitational leakage. In theories that include additional non-compact spacetime dimensions, the gravitational leakage intro extra dimensions leads to a reduction in the amplitude of observed gravitational waves and thereby a systematic discrepancy between the distance inferred to such sources from GW and EM observations. We investigate the capability of a gravitational space interferometer such as LISA to probe this modified gravity on large scales. We find that the extent to which LISA will be able to place limits on the number of spacetime dimensions and other cosmological parameters characterising modified gravity will strongly depend on the actual number and redshift distribution of sources, together with the uncertainty on the GW measurements. A relatively small number of sources ($\sim 1$) and high measurement uncertainties would strongly restrict the ability of LISA to place meaningful constraints on the parameters in cosmological scenarios where gravity is only five-dimensional and modified at scales larger than about $\sim 4$ times the Hubble radius. Conversely, if the number of sources observed amounts to a four-year average of $\sim 27$, then in the most favourable cosmological scenarios LISA has the potential to place meaningful constraints on the cosmological parameters with a precision of $\sim 1\%$ on the number of dimensions and $\sim 7.5\%$ on the scale beyond which gravity is modified, thereby probing the late expansion of the universe up to a redshift of $\sim 8$.