Mathematics for various disciplines Global existence and asymptotic behavior of Gowdy symmetric spacetimes with nonlinear scalar field

2006-10-05 16:30 - 2006-10-05 17:30
Graduate School of Mathematical Sciences the University of Tokyo, Room #123
Narita Makoto (Department of Mathematics, National Taiwan University)
We study global properties of Gowdy symmetric (the existence of a symmetry group with two-dimensional spacelike orbits) spacetimes with nonlinear scalar field, which naturally arises in modern cosmology based on superstring theory. The system of the Einstein and scalar field equations becomes a system consisting of wave map and nonlinear wave equations in one space dimension. We prove a global existence theorem for this system. Also, asymptotic energy decay will be discussed.