arXiv subjects

P. Noundjeu

Publications and source records attributed to P. Noundjeu.

4 recordsLinked to original sources

arXiv2005

On the non-relativistic limit of the spherically symmetric Einstein-Vlasov-Maxwell system

The Einstein-Vlasov-Maxwell (EVM) system can be viewed as a relativistic generalization of the Vlasov-Poisson (VP) system. As it is proved below, one of nice property obeys by the first system is that the strong energy condition holds and this allows to conclude that the above system is physically viable. We show in this paper that in the context of spherical symmetry, solutions of the perturbed (EVM) system by $γ:= 1/c^{2}$, $c$ being the speed of light, exist and converge uniformly in $L^{\infty}$-norm, as $c$ goes to infinity on compact time intervals to solutions of the non-relativistic (VP) system.

gr-qc↗

arXiv2005

The Einstein-Vlasov-Maxwell(EVM) System with Spherical Symmetry

We look for the global in time solution of the Cauchy problem corresponding to the asymptotically flat spherically symmetric EVM system with small initial data. Using an estimate, we also prove that if solution of the system stated above develops a singularity at all time, then the first one has to appear at the center of symmetry.

gr-qc↗

arXiv2003

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

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.

gr-qc↗

arXiv2003

Existence of initial data satisfying the constraints for the spherically symmetric Einstein-Vlasov-Maxwell system

Using ODE techniques we prove the existence of large classes of initial data satisfying the constraints for the spherically symmetric Einstein-Vlasov-Maxwell system. These include data for which the ratio of total charge to total mass is arbitrarily large.

gr-qc↗