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arXiv 2302.02734gr-qc
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$F(R)$修改引力中天文源的标量模四极辐射

Scalar Mode Quadrupole Radiation from Astronomical Sources in $F(R)$ Modified Gravity

Tomohiro Inagaki, Masahiko Taniguchi

AI总结:

该研究针对$F(R)$修改引力中的引力波标量模四极辐射展开,推导了相关显式表达式,以双星、反弹星为源计算了两类模的辐射,估算了标量模质量,指出未来引力波观测或可探测到该标量模。

摘要:

我们研究了$F(R)$修改引力中引力波的标量模四极辐射。在$F(R)$引力中,引力波会出现一种有质量的标量模。我们推导得到了一般$F(R)$引力模型中标量模的四极辐射与能流的显式表达式。我们将双星与反弹星作为引力波的天文源,计算了标量模与张量模的四极辐射。标量模可在球对称条件下辐射,而张量模不可以。我们还估算了若干典型能标下的标量模质量,表明未来引力波观测存在探测到该标量模的可能性。

英文摘要:

We investigate the scalar mode quadrupole radiation of gravitational waves in $F(R)$ modified gravity. In $F(R)$ gravity a massive scalar mode appears in the gravitational waves. We find explicit expressions for the quadrupole radiation and the energy current of the scalar mode in general $F(R)$ gravity models. We consider a binary star and a bouncing star as astronomical sources of the gravitational waves and calculate the quadrupole radiation of the scalar and tensor modes. The scalar mode radiates under spherically symmetric conditions, but the tensor modes do not. The scalar mode mass is estimated for some typical energy scales. We show a possibility to detect the scalar mode in the future gravitational waves observation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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