In the era of gravitational waves physics, when detections of wave fronts are increasing in number, sensitivity, frequencies and distances, gravitational physics has entered a period of maximum activity and brilliance. This has open a new window where General Relativity can be challenged in both weak as strong-field regimes. In this paper, we focus on the analysis of gravitational waves propagation and emission in the weak-field regime for gravitational theories within the Palatini formalism. Our results show that gravitational waves propagation in vacuum matches General Relativity predictions as well as the functional form of the multipolar expansion when considering weak sources. However, a rescaling of the gravitational constant arises, which affects the energy radiated by the gravitational waves emission.

在引力波物理学时代，当波前的探测数量、灵敏度、频率和距离不断增加时，引力物理学已经进入了一个最活跃和最辉煌的时期。这打开了一扇新窗口，广义相对论可以在弱场和强场状态中受到挑战。在本文中，我们专注于分析帕拉蒂尼形式主义中的引力理论在弱场状态下的引力波传播和发射。我们的结果表明，在考虑弱源时，引力波在真空中的传播与广义相对论的预测以及多极膨胀的函数形式相匹配。然而，引力常数的重新缩放会出现，这会影响引力波发射所辐射的能量。