论文标题
非常特殊的线性重力：仪表不变的重力质量
Very Special Linear Gravity: A Gauge-Invariant Graviton Mass
论文作者
论文摘要
考虑了非常特殊的相对性（VSR）框架中的线性重力。我们证明，该理论允许非零重力质量$ m_g $，而不会破坏规格不变性或修改相对论分散关系。我们在仪表选择中找到了新运动方程的分析解决方案，如预期的，仅存在两个物理自由度。最后，通过大地偏差方程，我们与VSR的一些结果面对经典引力波（GW）的一些结果：我们看到VSR效应与经典效应之间的比率与$（M_G/E）^2 $，$ E $是GW中的Gravtiton的能量。对于通过干涉仪和处女座可检测的GW，此比率最多为$ 10^{ - 20} $。但是，对于GW，在较低的未来检测器（例如Lisa）中，与VSR现象的各向异性性质相结合，该比率大大增加到$ 10^{ - 10} $可能会导致可观察到的效果。
Linearized gravity in the Very Special Relativity (VSR) framework is considered. We prove that this theory allows for a non-zero graviton mass $m_g$ without breaking gauge invariance nor modifying the relativistic dispersion relation. We find the analytic solution for the new equations of motion in our gauge choice, verifying as expected the existence of only two physical degrees of freedom. Finally, through the geodesic deviation equation, we confront some results for classic gravitational waves (GW) with the VSR ones: we see that the ratios between VSR effects and classical ones are proportional to $(m_g/E)^2$, $E$ being the energy of a graviton in the GW. For GW detectable by the interferometers LIGO and VIRGO this ratio is at most $10^{-20}$. However, for GW in the lower frequency range of future detectors, like LISA, the ratio increases significantly to $ 10^{-10}$, that combined with the anisotropic nature of VSR phenomena may lead to observable effects.
