Fetching the paper…
Reading the bibliography…
We show how to assign, on two intersecting null hypersurfaces, initial data for the Einstein-Vlasov system in harmonic coordinates.
Choquet-Bruhat Y., Problème de Cauchy pour le système intégro-différentiel d’Einstein-Liouville, Ann. Inst. Fourier
1971
Earlier work this paper cites.
Cagnac F., Problème de Cauchy sur un conoïde caractéristique pour des équations quasi-linéaires, Ann. Mat. Pura ed Applicata
1980
Earlier work this paper cites.
Christodoulou D., Müller zum Hagen H., Problème de valeur initiale caractéristique pour des systèmes quasi linéaires du second ordre, C. R. Acad. Sci. Paris
1981
Earlier work this paper cites.
Müller zum Hagen H., Characteristic initial value problem for hyperbolic systems of second order differential equations, Ann. Inst. Henri Poincaré, Phys. Théo
1990
Earlier work this paper cites.
Rendall A. D., Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations, Proc. R. Soc. Lond
1990
Earlier work this paper cites.
G. Rein, A. D. Rendall, Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data, Comm. Math. Phys.150 (1992) 561-583
1992
Earlier work this paper cites.
Rendall A. D., The characteristic initial value problem for the Einstein Equations, Non linear hyperbolic equations and field theory ( Lake Como 1991) Pitman, Res. Notes, Maths-ser
1992
Earlier work this paper cites.
Cagnac F., Dossa M., Problème de Cauchy sur un conoïde caractéristique. Applications à certains systèmes non linéaires d’origine physique, 35-47 in Physics on Manifolds, Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat Paris, june 3-5 (1992) edited by Flato, Kerner, Lichnerovicz Mathematical Physics Studies 15
1994
Cited alongside, same era.
Kannar J., On the existence of C ∞ C^{\infty} solution to the asymptotic characteristic initial value problem in General Relativity, Proc. R. Soc. Lond
1996
Cited alongside, same era.
Rendall A. D., The Einstein-Vlasov system, Arxiv: gr-qc/0208082v1
2002
Cited alongside, same era.
Andreasson H., The Einstein-Vlasov System/Kinetic Theory, Living Rev. Relativity
2005
Cited alongside, same era.
Caciotta G., Nicolo F., Global characteristic problem for Einstein vacuum equations with small initial data: (I) The initial constraints, JHDE
Cabet A., Local existence of a solution of a semilinear wave equation with Gradient in a neighborhood of Initial Characteristic Hypersurfaces of a Lorentzian Manifold, Commun. Part. Diff. Eq
2008
Later among the works it cites.
Caciotta G., Nicolo F., Global characteristic problem for Einstein vacuum equations with small initial data: (II) The existence proof, Arxiv: gr-qc/0608038v1
2008
Later among the works it cites.
Dossa M., Tadmon C., The Goursat problem for the Einstein-Yang-Mills-Higgs system in weighted Sobolev spaces, C. R. Acad. Sci. Paris
2010
Later among the works it cites.
Dossa M., Tadmon C., The characteristic initial value problem for the Einstein-Yang-Mills-Higgs system in weighted Sobolev spaces, Appl. Math. Res. Express
2010
Later among the works it cites.
J. B. Patenou, Characteristic Cauchy problem for the Einstein equations with Vlasov and Scalar matters in arbitrary dimension, C. R. Acad. Sci. Paris
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2005
Cited alongside, same era.
Fjällborg M., On the Einstein-Vlasov system, Ph. D thesis, Karlstad University, Sweden, 2006
2006
Cited alongside, same era.
Houpa D. E., Solutions semi-globales le probléme de Goursat associé à des systèmes non linéaires hyperboliques et applications, Thèse de Doctorat/Ph. D, Université de Yaoundé I (Cameroun), 2006
2006
Cited alongside, same era.
2011
Closest in time.
Tadmon C., A convenient explicit reduction of Einstein equations in harmonic gauge: Connection with wave maps type equations, to appear in AJMP
2011
Closest in time.