喇叭形几何中的Bondi吸积
Bondi Accretion in Trumpet Geometries
摘要：
描述气体径向流入非旋转黑洞的邦迪解，为数值相对论代码提供了强有力的检验。然而，Bondi解通常是在史瓦西坐标系中导出的，这并不适合于动力学时空演化。相反，许多目前的相对论数值代码采用移动穿刺坐标，这使得黑洞在喇叭几何。在这里，我们将邦迪解转换成喇叭坐标，这导致了延伸到黑洞内部的流体流动的正则表达式。我们还发展这些解决方案的数值和证明其有用的测试和校准数值代码。
英文摘要：
The Bondi solution, which describes the radial inflow of a gas onto a non-rotating black hole, provides a powerful test for numerical relativistic codes. However, the Bondi solution is usually derived in Schwarzschild coordinates, which are not well suited for dynamical spacetime evolutions. Instead, many current numerical relativistic codes adopt moving-puncture coordinates, which render black holes in trumpet geometries. Here we transform the Bondi solution into trumpet coordinates, which result in regular expressions for the fluid flow extending into the black-hole interior. We also evolve these solutions numerically and demonstrate their usefulness for testing and calibrating numerical codes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
