Local existence and continuation criteria for solutions of the EinsteinVlasovscalar field system with surface symmetry
Abstract
We prove in the cases of spherical, plane and hyperbolic symmetry a local in time existence theorem and continuation criteria for cosmological solutions of the EinsteinVlasovscalar field system, with the sources generated by a distribution function and a scalar field, subject to the Vlasov and wave equations respectively. This system describes the evolution of selfgravitating collisionless matter and scalar waves within the context of general relativity. In the case where the only source is a scalar field it is shown that a global existence result can be deduced from the general theorem.
 Publication:

arXiv eprints
 Pub Date:
 May 2004
 arXiv:
 arXiv:grqc/0405039
 Bibcode:
 2004gr.qc.....5039T
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 33 pages, typos corrected, second conclusion of theorem 4.5 and remark 4.6 removed