论文标题
标量调节理论中的轻度冲击波
Light-like shockwaves in scalar-tensor theories
论文作者
论文摘要
电磁冲击波和重力波都以光速传播。如果它们具有明显的能量摩托车，这将改变它们传播的时空的特性。这可以用以单数为无效的超表面分离的时空区域之间的连接条件来描述。我们在约旦框架中得出了布兰斯·迪克理论的通用连接条件，探索了基于横向向量而不是正常的形式主义，可以应用于任何类型的Hypersurfaces。在特定的非壁式超表面的情况下，我们获得了广义的Lanczos方程，其中外部曲率的跳跃均由分布能量巨型张量和标量横向衍生物中的跳跃来源。对于无效的曲面，分布源分解为表面密度，电流和压力。然而，后者应该因标量连接条件而消失。
Both electromagnetic shock-waves and gravitational waves propagate with the speed of light. If they carry significant energy-momentum, this will change the properties of the space-time they propagate through. This can be described in terms of the junction conditions between space-time regions separated by a singular, null hypersurface. We derived generic junction conditions for Brans-Dicke theory in the Jordan frame, exploring a formalism based on a transverse vector, rather than normal, which can be applied to any type of hypersurfaces. In the particular case of a non-null hypersurface we obtain a generalised Lanczos equation, in which the jump of the extrinsic curvature is sourced by both the distributional energy-momentum tensor and by the jump in the transverse derivative of the scalar. In the case of null hypersurfaces, the distributional source is decomposed into surface density, current and pressure. The latter however ought to vanish by virtue of the scalar junction condition.
