Investigations in Theoretical and Numerical Relativity

该奖项支持涉及爱因斯坦广义相对论的各种理论和计算问题。计算技术将被开发出来，其中黑洞内部将被人工数据取代，以帮助创建更高效、更灵活的数值算法。爱因斯坦演化方程的新公式将被研究，目标是发展更精确的数值方法。将开发一类新的黑洞模拟初始条件，这将消除黑洞模拟中的一个重要误差来源。为了最大限度地提高地面引力波探测器（如LIGO）以及拟议中的天基LISA探测器的科学产出，需要对引力波波形进行理论预测。理论和数值相对论在这些预测中起着核心作用。这项工作是将引力波探测纳入天体物理学研究主流的全球努力的一部分。它将打开一扇观察宇宙的新窗口。这项工作将为学生提供计算科学和数学以及物理方面的宝贵技能。

This award supports a variety of theoretical and computational problems involving Einstein's general theory of relativity. Computational techniques will be developed in which black hole interiors are replaced with artificial data to help create more efficient and flexible numerical algorithms. New formulations of the Einstein evolution equations will be studied with the goal of developing more accurate numerical methods. A new class of initial conditions for black hole simulations will be developed, which should eliminate an important source of error in black hole simulations.Theoretical predictions of gravitational waveforms are needed to maximize the scientific output of ground based gravitational wave detectors, such as LIGO, as well as the proposed space based LISA detector. Theoretical and numerical relativity plays a central role in these predictions. This work is part of a worldwide effort to bring gravitational wave detection into the mainstream of astrophysics research. It will open a new window on the Universe. This work will provide students with valuable skills in computational science and mathematics as well as physics.