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arXiv 2302.06402gr-qc
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f(R)引力中引力波的阻尼

Damping of gravitational waves in f(R) gravity

Haiyuan Feng, Laiyuan Su, Rong-Jia Yang, Wei-Qiang Chen

AI总结:

本文利用动力学理论研究f(R)引力中物质对引力波的阻尼效应,推导平直时空和FRW宇宙中的演化方程,并在f(R)=R+αR^2模型中分析质量项对中微子系统中张量和标量模式振幅衰减的不同影响。

摘要:

我们研究物质对f(R)引力中引力波(GW)的阻尼效应。通过应用动力学理论,我们考察了相对论玻尔兹曼方程的一阶近似。在平直时空中,我们推导了f(R)引力中波的演化方程,并证明朗道阻尼不存在,而碰撞阻尼存在。在Friedmann-Robertson-Walker(FRW)宇宙学中,我们还考察了两种模式的动力学方程。此外,在模型f(R) = R + αR^2中,我们研究了质量项对中微子系统内波振幅衰减的影响。我们观察到,m = 1 eV的张量模式相比其他情况表现出更快的衰减,而m = 1 eV的标量模式似乎抑制了衰减。

英文摘要:

We investigate the damping of gravitational waves (GW) in $f(R)$ gravity by matter. By applying the kinetic theory, we examine the first-order approximation of the relativistic Boltzmann equation. In the flat spacetime, we derive the evolution equations for waves in $f(R)$ gravity and demonstrate that Landau damping is absent while collision damping is present. In the Friedmann-Robertson-Walker (FRW) cosmology, we also examine the dynamical equations for the two modes. Furthermore, in the model $f(R) = R + αR^2$, we investigate the effect of the mass term on wave amplitude decay within the neutrino system. We observe that the tensor mode with $m = 1 \, \text{eV}$ exhibits faster decay compared to other cases, while the scalar mode with $m = 1 \, \text{eV}$ appears to suppress decay.

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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