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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Forthcoming papers   > Article

[FORTHCOMING] Global existence of solutions to the spherically symmetric Einstein-Vlasov-Maxwell system

[FORTHCOMING] Existence globale de solutions du système sphérique-symétrique de Einstein-Vlasov-Maxwell


R. Moutngui
University of Yaounde 1
Cameroun

P. Noundjeu
University of Yaounde 1
Cameroun



Published on 10 November 2022   DOI :

Abstract

Résumé

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Mots-clés

We prove that the initial value problem with small data for the asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system admits the global in time solution in the case of the non zero shift vector. This result extends the one already known for chargeless case.

We prove that the initial value problem with small data for the asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system admits the global in time solution in the case of the non zero shift vector. This result extends the one already known for chargeless case.

Spherical symmetry Shift vector Fermi derivative Malec’s estimate

Spherical symmetry Shift vector Fermi derivative Malec’s estimate