AI 中文总结
该研究将有限立体角广义相对论辐射输运方法扩展到ADM形式的动力学时空，开发Valencia型求解器并经测试验证，可用于辐射环绕双星盘研究，助力强引力系统多信使研究。
AI 中文摘要
我们将C. J. White等人（2023）提出的有限立体角广义相对论辐射输运方法扩展到以ADM形式表示的随时间变化的时空。这种Valencia型求解器保留了原始HARM型求解器的角输运和局域隐式物质耦合，但用欧拉公式替代了其与时间无关的Kerr–Schild标架和守恒变量归一化。乔列斯基规范空间标架使该标架及其导数成为ADM变量的代数函数，提供了平滑、度规兼容的角输运。所得输运系统直接耦合到演化的时空，与规范演化方程无关。我们的测试套件包括平直与弯曲射束、辐射-流体耦合以及随时间变化的几何结构，验证了该方法的准确性与鲁棒性。我们还将Valencia型求解器应用于辐射环绕双星盘，展示了其在动力学强引力系统多信使研究中的潜力。
英文摘要
We extend the finite-solid-angle general relativistic radiation transport method of C. J. White et al. (2023) to time-dependent spacetimes represented in ADM form. This Valencia-type solver retains the angular transport and local implicit matter coupling of the original HARM-type solver, but replaces its time-independent Kerr--Schild tetrad and conserved-variable normalization with an Eulerian formulation. A Cholesky-gauge spatial tetrad makes the frame and its derivatives algebraic functions of the ADM variables, providing smooth, metric-compatible angular transport. The resulting transport system couples directly to an evolving spacetime, agnostic to the gauge evolution equations. Our test suite, including flat and curved beams, radiation--fluid coupling, and time-dependent geometries, establishes the accuracy and robustness of this approach. We further apply the Valencia-type solver to a radiative circumbinary disk, illustrating its potential for multi-messenger studies of dynamical strongly gravitating systems.
