论文标题
用GWTC-3测试标准模型扩展中的Lorentz重力不变性
Testing Lorentz Invariance of Gravity in the Standard Model Extension with GWTC-3
论文作者
论文摘要
成功检测引力波已经提出了一种探索重力性质的新途径。随着检测到的事件的累积目录，我们可以从各个方面进行一般相对论的测试，而精度的提高。在这项工作中，我们将重点放在引力波传播过程中的洛伦兹对称性上。考虑到标准模型延伸的量规不变的线性重力部门的分散关系，在引力波的传播过程中，由于洛雷兹侵犯了修饰，并导致检测者接收的波形在波形中引起dephassings，将引起各向异性，双折射和分散效应。使用扭曲的波形，我们在最后一次重力波目录中对自信事件进行了完整的贝叶斯推断。我们考虑两种与最低质量尺寸$ d = 5,6 $相关的案例，这些案例本应具有最重要的效果，并将限制条件放在违反洛伦兹行为的扩展系数上，违反洛伦兹的行为，该行为具有16个独立的组件，$ d = 5 $和18个组件，$ d = 6 $。我们找不到在重力波数据中违反洛伦兹的任何证据，系数的限制为$ 10^{ - 15} {\ rm m} $ for $ d = 5 $ d = 5 $和$ 10^{ - 10} { - 10} {\ rm m^2} $分别$ d = 6 $。
Successful detection of gravitational waves has presented a new avenue to explore the nature of gravity. With the cumulative catalog of detected events, we can perform tests on General Relativity from various aspects with increasing precision. In this work, we focus on Lorentz symmetry during propagation of gravitational waves. Considering the dispersion relation in the gauge-invariant linearized gravity sector of the Standard-Model Extension, the anisotropy, birefringence, and dispersion effects will be induced during propagation of gravitational waves because of the Lorentz violating modification, and cause dephasings in waveform received by detectors. With the distorted waveform, we perform full Bayesian inference with confident events in the last gravitational wave catalog. We consider two cases associated with the lowest mass dimension $d=5,6$ which are supposed to have the most significant effects, and place the constraints on the expansion coefficients characterizing the Lorentz violating behavior which have 16 independent components for $d=5$ and 18 components for $d=6$. We do not find any evidence for Lorentz violation in the gravitational wave data, the constraints on the coefficients are on the order of $10^{-15}{\rm m}$ for $d=5$ and $10^{-10}{\rm m^2}$ for $d=6$ respectively.
