U.S.-Argentina Cooperative Research: Hyperbolic Formulations of the Einstein Equations for the Binary Black Hole Problem

[20204937 . Pullin]在这项美国-阿根廷奖中，路易斯安那州立大学的Jorge Pullin博士将与阿根廷国立科尔多瓦大学的Oscar Reula博士合作，研究广义相对论爱因斯坦方程双曲公式的应用，以便为二元黑洞合并问题提供稳定的演化方案。他们将进行的研究包括使用线性化和其他近似技术以及低维建模来确定方程的稳定配置，边界条件问题，以及各种测量选择如何影响方案的稳定性。如何用数值方法解出爱因斯坦方程来进行有趣的天体物理学模拟，是当今广义相对论中最紧迫的问题之一。对两个黑洞的碰撞进行数值模拟是至关重要的，因为这将是由美国国家科学基金会资助的激光干涉仪引力波天文台（LIGO）探测到的主要引力辐射来源之一。预计碰撞的最后时刻将产生一个显著的引力辐射爆发，由于强场的性质和缺乏对称性的问题，只能通过数值模拟来预测。这一国际合作的综合知识和经验将有助于解决这一重要问题。

0204937PullinIn this US-Argentina award, Dr. Jorge Pullin of Louisiana State University will collaborate with Dr. Oscar Reula of the Universidad Nacional de Cordoba in Argentina to study the application of hyperbolic formulations of the Einstein equations of general relativity in order to provide stable evolution schemes for the binary black hole coalescence problem. Among the studies they will undertake is the use of linearized and other approximation techniques and lower dimensional modeling to determine stable configurations of equations, boundary condition issues, and how various gauge choices influence the stability of the schemes.The problem of how to solve Einstein's equations numerically for astrophysically interesting simulations is one of the most urgent problems in general relativity today. To numerically model the collision of two black holes is of critical importance, since that is expected to be one of the main sources of gravitational radiation to be detected by the NSF-funded Laser Interferometer Gravity Wave Observatory (LIGO). It is expected that the last moments of the collision will produce a significant burst of gravitational radation that, due to the strong field nature and lack of symmetries of the problem, can only be predicted by numerical simulation. The combined knowledge and experience of this international collaboration will work toward solving this important problem.