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arXiv 0912.4744gr-qchep-th
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用引力波观测约束膜世界

Constraining the braneworld with gravitational wave observations

Sean T. McWilliams

摘要:

某些膜世界模型可能具有可观测的结果,如果被发现,将验证弦论的一个必要元素。在无限兰德尔-桑德拉姆模型(RS 2)中,额外维度的AdS曲率半径L支持无质量引力子在膜上的单一束缚态,从而在弱场极限下再现牛顿引力。然而,使用AdS/CFT对应,有人提出RS 2的一个可能结果是黑洞发射的霍金辐射的巨大增加。利用这种可能性,我们得到两个新的方法来约束L通过引力波测量。我们发现,LISA检测到的EMRI事件率可以限制L在1微米的最佳情况下的水平,而一个单一的银河系黑洞二进制与LISA的观测结果在L <= 5微米的最佳约束。

英文摘要:

Some braneworld models may have observable consequences that, if detected, would validate a requisite element of string theory. In the infinite Randall-Sundrum model (RS2), the AdS radius of curvature, L, of the extra dimension supports a single bound state of the massless graviton on the brane, thereby reproducing Newtonian gravity in the weak-field limit. However, using the AdS/CFT correspondence, it has been suggested that one possible consequence of RS2 is an enormous increase in Hawking radiation emitted by black holes. We utilize this possibility to derive two novel methods for constraining L via gravitational wave measurements. We show that the EMRI event rate detected by LISA can constrain L at the ~1 micron level for optimal cases, while the observation of a single galactic black hole binary with LISA results in an optimal constraint of L <= 5 microns.

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