论文标题

用重力波探测压缩的额外尺寸

Probing Compactified Extra Dimensions with Gravitational Waves

论文作者

Du, Yuchen, Tahura, Shammi, Vaman, Diana, Yagi, Kent

论文摘要

我们研究紧凑型额外维度对重力波光度和波形的影响。我们考虑了一个玩具模型,具有压实的第五维,并且物质限制在勃板上。我们在五个维度($ 5D $)的一般相对性的背景下工作,尽管我们确实与相应的Kaluza-Klein有效$ 4D $理论建立了联系。我们表明,通过具有相同特征(相同的质量和分离距离)的二进制$ 5D $重力发出的引力波的光度与$ 4D $二进制相同的相对于$ 4D $ case的少量降低了20.8%,以领先纽约后订单。重力波形的阶段相对于$ 4D $案例,引力波形的阶段与领先的Newtonian后订单相对于$ 4D $。这种校正主要是由于有效的$ 4D $图片中物质和Dilaton场之间的耦合而产生的,并且当我们将黑洞的标量电荷设置为从kaluza-klein降低计算的情况下,同意以前的计算。上面对波形和光度的校正与重力波和二元脉冲星观测不一致,因此它们有效地排除了这种简单的压缩更高维度的可能性。我们还评论如果有几个压缩的额外维度,结果如何改变,并表明$ 4D $一般相对论的差异只会增加。

We study the effect of compact extra dimensions on the gravitational wave luminosity and waveform. We consider a toy model, with a compactified fifth dimension, and matter confined on a brane. We work in the context of five dimensional ($5d$) general relativity, though we do make connections with the corresponding Kaluza-Klein effective $4d$ theory. We show that the luminosity of gravitational waves emitted in $5d$ gravity by a binary with the same characteristics (same masses and separation distance) as a $4d$ binary is 20.8\% less relative to the $4d$ case, to leading post-Newtonian order. The phase of the gravitational waveform differs by 26\% relative to the $4d$ case, to leading post-Newtonian order. Such a correction arises mainly due to the coupling between matter and dilaton field in the effective $4d$ picture and agrees with previous calculations when we set black holes' scalar charges to be those computed from the Kaluza-Klein reduction. The above corrections to the waveform and the luminosity are inconsistent with the gravitational-wave and binary pulsar observations and thus they effectively rule out the possibility of such a simple compactified higher dimensions scenario. We also comment on how our results change if there are several compactified extra dimensions, and show that the discrepancy with $4d$ general relativity only increases.

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