论文标题
动量和旋转的初始数据的明显范围的近似分析描述
Approximate analytical description of apparent horizons for initial data with momentum and spin
论文作者
论文摘要
我们为缓慢移动和旋转黑洞构建分析初始数据,以实现线性动量和自旋的通用方向。我们大约解决了哈密顿的约束,并弄清了明显的视野的特性,并显示了其形状对自旋和线性动量之间角度的依赖性。尤其是一个酒窝,其位置取决于上述角度,这是出现在明显地平线的2个球体几何形状上。我们仅在共同平坦的初始指标的情况下工作。
We construct analytical initial data for a slowly moving and rotating black hole for generic orientations of the linear momentum and the spin. We solve the Hamiltonian constraint approximately and work out the properties of the apparent horizon and show the dependence of its shape on the angle between the spin and the linear momentum. In particular a dimple, whose location depends on the mentioned angle, arises on the 2-sphere geometry of the apparent horizon. We exclusively work in the case of conformally flat initial metrics.