论文标题
二次重力理论中缓慢旋转源的光弯曲
Light bending by a slowly rotating source in quadratic theories of gravity
论文作者
论文摘要
在本文中，我们研究了在二次重力理论的背景下，由旋转源缓慢旋转引起的光弯曲，其中爱因斯坦 - 希尔伯特的作用通过曲率张量中的其他二次术语扩展。使用基于高斯 - 桥网定理的方法计算挠度角，并在弱晶状体的近似中工作；另外，我们假设源和观察者处于无限距离。提出的形式主义非常笼统，适用于弱重力场和缓慢旋转的任何时空度量。我们找到了几种局部和非本地理论的挠度角的明确公式，还讨论了一些现象学的影响。
In this paper we study the light bending caused by a slowly rotating source in the context of quadratic theories of gravity, in which the Einstein--Hilbert action is extended by additional terms quadratic in the curvature tensors. The deflection angle is computed employing the method based on the Gauss--Bonnet theorem and working in the approximation of a weak lens; also, we assume that the source and observer are at an infinite distance. The formalism presented is very general and applies to any spacetime metric in the limit of weak gravitational field and slow rotation. We find the explicit formula for the deflection angle for several local and nonlocal theories, and also discuss some phenomenological implications.
