U.S.-France Cooperative Research: Global Studies of Einstein Spacetimes

9512787这一为期三年的奖项将支持耶鲁大学的文森特·蒙克里夫和皮埃尔大学的伊冯·乔奎特-布鲁哈特(巴黎六世)在数学物理方面的美法合作研究。他们项目的主要目标是在爱因斯坦方程的大类宇宙学解的整体行为上获得新的结果。研究人员旨在通过证明类似于广义相对论的整体存在定理来刻画这种时空的最大柯西发展。他们还将研究奇异解的边界行为，并以几何自然的方式对时空奇点本身进行分类。这项研究将受益于美国和法国研究人员在数学广义相对论领域的广泛专业知识。***

9512787 Moncrief This three-year award will support U.S.-France cooperative research in mathematical physics between Vincent Moncrief at Yale University and Yvonne Choquet-Bruhat at the University of Pierre and Marie Curie (Paris VI). The main objective of their project is to obtain new results on the global behavior of large classes of cosmological solutions of Einstein's equations. The investigators aim to characterize the maximal Cauchy developments of such spacetimes by proving the analogue of global existence theorems for general relativity. They will also study the boundary behavior of singular solutions and classify spacetime singularities themselves in a geometrically natural way. This research will benefit from the extensive expertise of the U.S. and French investigators in the area of mathematical general relativity. ***