论文标题
在缓慢旋转的空间中捕获无效测量学
Trapping of null geodesics in slowly rotating spacetimes
论文作者
论文摘要
由于中微子的捕获而导致对冷却过程的影响或引力波的捕获，因此包含捕获无效的零用测量区域的极度紧凑物体可能具有天体物理相关性。这些物体先前已经在球形对称性的假设下进行了研究。在本文中，我们考虑了一个简单的概括，通过研究无效的大地测量学在角速度的hartle-thorne慢旋转近似近似的框架中，并考虑具有均匀密度对象的均匀密度对零地测量学的均匀密度对象。我们计算了无效的测量学以及它们如何依赖于空间的参数，并计算了捕获效率的“局部”和“全局”系数。我们证明，由于旋转，捕获效率对于共旋转和逆行无效的测量学是不同的，并且即使在$> 3gm/c^2 $中，诱捕效率也可能发生，这与没有旋转的情况相反。
Extremely compact objects containing a region of trapped null geodesics could be of astrophysical relevance due to trapping of neutrinos with consequent impact on cooling processes or trapping of gravitational waves. These objects have previously been studied under the assumption of spherical symmetry. In the present paper, we consider a simple generalization by studying trapping of null geodesics in the framework of the Hartle-Thorne slow-rotation approximation taken to first order in the angular velocity, and considering a uniform-density object with uniform emissivity for the null geodesics. We calculate effective potentials and escape cones for the null geodesics and how they depend on the parameters of the spacetimes, and also calculate the "local" and "global" coefficients of efficiency for the trapping. We demonstrate that due to the rotation the trapping efficiency is different for co-rotating and retrograde null geodesics, and that trapping can occur even for $R>3GM/c^2$, contrary to what happens in the absence of rotation.
