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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 3 (June 2023)   > Article

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

Existence globale de solutions au système sphériquement symétrique de Einstein-Vlasov-Maxwell

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R. Moutngui
University of Yaounde 1
Cameroun

P. Noundjeu
University of Yaounde 1
Cameroun



Published on 15 June 2023   DOI : 10.21494/ISTE.OP.2023.0978

Abstract

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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



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