The problem of a self-gravitating scalar field

Details The problem of a self-gravitating scalar field The problem of a self-gravitating scalar field

Sep 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cmaph.105..337c&link_type=abstract

Communications in Mathematical Physics, Volume 105, Issue 3, pp.337-361

Mathematics

Mathematical Physics

125

Scientific paper

In this paper we begin the study of the global initial value problem for Einstein's equations in the spherically symmetric case with a massless scalar field as the material model. We reduce the problem to a single nonlinear evolution equation. Taking as initial hypersurface a future light cone with vertex at the center of symmetry, we prove, the local, in retarded time, existence and global uniqueness of classical solutions. We also prove that if the initial data is sufficiently small there exists a global classical solution which disperses in the infinite future.

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