Research on the Group Structure of the Einstein Equations Solution Manifold

小行星9307762 恩斯特博士将进行一项数学引力物理学的研究计划。 他将使用我发明的技术。豪瑟和他自己决定了当任意指定的引力平面波碰撞时发生的时空扭曲，并决定了当引力势在旋转轴上任意指定时与旋转质量相关的时空曲率。 他还将研究类似技术在不太理想化的物理问题上的可能应用。 当问题的复杂性要求采用数值计算和图形显示的方法时，将对常规分析方法进行补充。 试图用广义相对论解决更现实的引力问题的尝试应该继续产生新的数学技术，这些技术也可以应用于其他非线性物理理论，并应该为一般的非线性现象提供更深入的见解。***

9307762 Ernst Dr. Ernst will carry out a program of research in mathematical gravitational physics. He will employ techniques devised by I. Hauser and himself to determine the spacetime distortion that takes place when arbitrarily specified gravitational plane waves collide, and to determine the spacetime curvature associated with spinning masses when the gravitational potential is specified arbitrarily on the axis of rotation. He will also study the possible application of similar techniques to physical problems that are less idealized. Purely analytical methods will be supplemented by numerical computation and graphical display whenever the complexity of the problem demands such an approach. The attempt to solve ever more realistic gravitational problems using the general theory of relativity should continue to spawn new mathematical techniques that can be applied as well to other nonlinear physical theories, and which should provide a deeper insight into nonlinear phenomena in general. ***