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具有紧致额外维的高维时空中双源产生的引力波

Gravitational waves from a binary source in higher dimensional spacetime with compactified extra dimensions

Mattia Villani

arXiv 2608.06487首次发表:更新:

AI 中文总结

该研究探讨具有紧致额外维的高维时空中致密双星的引力波辐射,求解波动方程发现新的赝质量模式,还在-1PN阶运动方程中找到新项并修正了能流。

AI 中文摘要

我们考虑具有紧致额外维的时空中,致密双星产生的引力波(GW)辐射。我们求解了齐次与非齐次波动方程,证明存在无穷多个指数衰减的赝质量模式,它们叠加到无穷远处表现为1/r的常规模式上。我们计算了度规势、运动方程与能流,发现运动方程中存在一个-1PN阶的新项,这会导致能流发生修正。

英文摘要

We consider the emission of gravitational waves (GW) from a compact binary in a spacetime with compactified extra dimensions. We solve the homogeneous and non-homogeneous wave equation, proving that there is an infinite sum of exponentially decaying pseudo-massive modes which add to the usual one which behaves as 1/r at infinity. We calculate the metric potentials, the equations of motion and the energy flux. We find that in the equations of motion there is a new term at -1PN order. This implies a modification of the energy flux.

Journal refGeneral Relativity and Gravitation Volume 58, article number 93 (2026)

DOI:10.1007/s10714-026-03599-y

论文原文

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