Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895605 | Journal of Geometry and Physics | 2014 | 24 Pages |
Abstract
In this paper we analyze the Cauchy problem for the Einstein–Maxwell equation in the case of non-characteristic initial hypersurface. To find the correct notions of characteristic and Cauchy data we introduce a complex, which we call the Einstein–Maxwell complex. Then the Cauchy problem acquires correctness in terms of an associated spectral sequence. We define a Cauchy data in such way that they allow us to reconstruct a cohomologously unique formal solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Valentin Lychagin, Valeriy Yumaguzhin,