论文标题

用GW170817约束重力的质量

Constraining mass of the graviton with GW170817

论文作者

Shoom, Andrey A., Kumar, Sumit, Krishnendu, N. V.

论文摘要

我们考虑了基于重力波动波形阶段中的重力分散项的大量重力现象学模型。在许多作品中已经考虑了这种模型,但仅基于单个领先的分散项。在这里,我们得出了相对论重力的发射与最大计算的吸收时间间隔之间的关系,最多{\ cal o}(γ^{ - 6})$,其中$γ$是lorentz因子。将分散项术语纳入引力波的波形阶段会导致$ 1^{st} $的两个非Gr参数和$ -2^{nd} $ newtonian订单的$ -2^{nd} $,其后代的后代被用来对重力顿的静止质量构成约束。我们使用taylorf2波形模型分析事件GW170817并报告以下$ 95 \%$ - 置信度上限上的上限:$ m^{low \,spin} _ {g} _ {g} \ leq1.305 $ m^{high \,spin} _ {g} \ leq2.996 \ times10^{ - 54} $ g,用于高和低旋转先知。

We consider the massive graviton phenomenological model based on the graviton's dispersion terms included into phase of gravitational wave's waveform. Such model was already considered in many works but it was based on a single leading-order dispersion term only. Here we derive a relation between relativistic gravitons emission and absorption time intervals computed up to ${\cal O}(γ^{-6})$, where $γ$ is the Lorentz factor. Including the dispersion terms into the phase of gravitational wave's waveform results in two non-GR parameters of the $1^{st}$ and the $-2^{nd}$ post-Newtonian orders whose posteriors are used to put a constraint on the graviton's rest mass. We use the TaylorF2 waveform model to analyse the event GW170817 and report the following $95\%$-confidence upper bounds on the graviton's rest mass: $m^{Low\,Spin}_{g}\leq1.305\times10^{-54}$g and $m^{High\,Spin}_{g}\leq2.996\times10^{-54}$g for the high and low spin priors.

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