Cauchy problem on two characteristic hypersurfaces for the Einstein-Vlasov-Scalar field equations in temporal gauge
Abstract
In this paper, we consider the initial value problem for the Einstein-Vlasov-Scalar field equations in temporal gauge, where the initial data are prescribed on two characteristic smooth intersecting hypersurfaces. From a suitable choice of some free data, the initial data constraints's problem is solved globally, then the evolution problem relative to the deduced initial data is solved locally in time.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2016
- DOI:
- 10.48550/arXiv.1608.01135
- arXiv:
- arXiv:1608.01135
- Bibcode:
- 2016arXiv160801135D
- Keywords:
-
- Mathematical Physics;
- 35Q75;
- 83C05
- E-Print:
- 9 pages, to appear at C. R. Math. Rep. Acad. Sci. Canada