Communications in Mathematical Sciences

Volume 12 (2014)

Number 7

On the static solutions of the spherically symmetric Vlasov-Einstein-Maxwell system for low charge and anisotropic pressure

Pages: 1225 – 1237

DOI: https://dx.doi.org/10.4310/CMS.2014.v12.n7.a3

Authors

P. Noundjeu (Department of Mathematics, Faculty of Science, University of Yaounde, Cameroon)

G. Chendjou (Department of Mathematics, Faculty of Science, University of Yaounde, Cameroon)

Abstract

We consider the Vlasov-Einstein-Maxwell (VEM) system in the spherically symmetric setting and we try to establish a global static solution with isotropic or anisotropic pressure that approaches Minkowski spacetime at the spacial infinity and has a regular center. This work extends the previous one recently done by the first author, in which only the isotropic case is concerned.

Keywords

anisotropic pressure, Newtonian limit, singularity-free solutions, ADM mass

2010 Mathematics Subject Classification

34B05, 83C20, 83C22

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Published 14 May 2014