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Local Existence and Continuation Criterion for Solutions of the Spherically Symmetric Einstein-Vlasov-Maxwell System

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Abstract

Using the iterative scheme we prove the local existence and uniqueness of solutions of the spherically symmetric Einstein-Vlasov-Maxwell system with small initial data. We prove a continuation criterion to global in-time solutions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Yaounde 1, Box 812, Yaounde, Cameroun

    P. Noundjeu & N. Noutchegueme

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  1. P. Noundjeu
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  2. N. Noutchegueme
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Noundjeu, P., Noutchegueme, N. Local Existence and Continuation Criterion for Solutions of the Spherically Symmetric Einstein-Vlasov-Maxwell System. General Relativity and Gravitation 36, 1373–1398 (2004). https://doi.org/10.1023/B:GERG.0000022393.59558.fd

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  • DOI: https://doi.org/10.1023/B:GERG.0000022393.59558.fd

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