Following a previous work which proved a global in time existence theorem to the coupled Einstein... more Following a previous work which proved a global in time existence theorem to the coupled Einstein-Maxwell system with pseudo-tensor of pressure in the sources, we study the asymptotic behaviour, the geodesic completeness, the energy conditions and the well-posedness. We prove that at late times, the mean curvature goes to a strictly negative limit, the spacetime is geodesically complete, two energy conditions are satisfied, and that, the problem is well-posed in the sense of Hadamard.
African Diaspora Journal of Mathematics New Series, 2011
Global existence of solutions to the coupled Einstein-Maxwell system which rules the dynamics of ... more Global existence of solutions to the coupled Einstein-Maxwell system which rules the dynamics of the considered relativistic charged fluid is proved and asymptotic behavior is investigated, in the case of positive cosmological constant and positive initial velocity of the cosmological expansion factor..
We prove a local in time existence theorem for the Cauchy problem for the Yang-Mills system in te... more We prove a local in time existence theorem for the Cauchy problem for the Yang-Mills system in temporal gauge, with current generated both by a distribution function that satisfies the Vlasov equation, and an unknown Yang-Mills charge density, subject to a conservation equation. We prove a global in time existence theorem in the case of massless particles.
... ON THE ROBERTSONWALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES. Author(s): NORB... more ... ON THE ROBERTSONWALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES. Author(s): NORBERT NOUTCHEGUEME Department of Mathematics, Faculty of Science, University of Yaoundé I, POB 812 Yaoundé, Cameroon ALEXIS NANGUE ...
Many studies in general relativity suppose the existence of solutions of Einstein equations for a... more Many studies in general relativity suppose the existence of solutions of Einstein equations for an infinite time in the past, which tend to a stationary solution at past infinity. In this paper the authors give a proof of the existence, for an infinite proper time, of infinitely many solutions of the system of Einstein equations coupled with conservative sources.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2002
ABSTRACT We prove the local-in-time existence of the solution of the Cauchy problem for the Maxwe... more ABSTRACT We prove the local-in-time existence of the solution of the Cauchy problem for the Maxwell equations for an exact field, with current generated by a distribution function, subject to the Vlasov equation.
Journal of Hyperbolic Differential Equations, 2010
... ON THE ROBERTSONWALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES. Author(s): NORB... more ... ON THE ROBERTSONWALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES. Author(s): NORBERT NOUTCHEGUEME Department of Mathematics, Faculty of Science, University of Yaoundé I, POB 812 Yaoundé, Cameroon ALEXIS NANGUE ...
Following a previous work which proved a global in time existence theorem to the coupled Einstein... more Following a previous work which proved a global in time existence theorem to the coupled Einstein-Maxwell system with pseudo-tensor of pressure in the sources, we study the asymptotic behaviour, the geodesic completeness, the energy conditions and the well-posedness. We prove that at late times, the mean curvature goes to a strictly negative limit, the spacetime is geodesically complete, two energy conditions are satisfied, and that, the problem is well-posed in the sense of Hadamard.
African Diaspora Journal of Mathematics New Series, 2011
Global existence of solutions to the coupled Einstein-Maxwell system which rules the dynamics of ... more Global existence of solutions to the coupled Einstein-Maxwell system which rules the dynamics of the considered relativistic charged fluid is proved and asymptotic behavior is investigated, in the case of positive cosmological constant and positive initial velocity of the cosmological expansion factor..
We prove a local in time existence theorem for the Cauchy problem for the Yang-Mills system in te... more We prove a local in time existence theorem for the Cauchy problem for the Yang-Mills system in temporal gauge, with current generated both by a distribution function that satisfies the Vlasov equation, and an unknown Yang-Mills charge density, subject to a conservation equation. We prove a global in time existence theorem in the case of massless particles.
... ON THE ROBERTSONWALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES. Author(s): NORB... more ... ON THE ROBERTSONWALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES. Author(s): NORBERT NOUTCHEGUEME Department of Mathematics, Faculty of Science, University of Yaoundé I, POB 812 Yaoundé, Cameroon ALEXIS NANGUE ...
Many studies in general relativity suppose the existence of solutions of Einstein equations for a... more Many studies in general relativity suppose the existence of solutions of Einstein equations for an infinite time in the past, which tend to a stationary solution at past infinity. In this paper the authors give a proof of the existence, for an infinite proper time, of infinitely many solutions of the system of Einstein equations coupled with conservative sources.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2002
ABSTRACT We prove the local-in-time existence of the solution of the Cauchy problem for the Maxwe... more ABSTRACT We prove the local-in-time existence of the solution of the Cauchy problem for the Maxwell equations for an exact field, with current generated by a distribution function, subject to the Vlasov equation.
Journal of Hyperbolic Differential Equations, 2010
... ON THE ROBERTSONWALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES. Author(s): NORB... more ... ON THE ROBERTSONWALKER SPACE-TIMES WITH HYPERBOLIC AND SPHERICAL SYMMETRIES. Author(s): NORBERT NOUTCHEGUEME Department of Mathematics, Faculty of Science, University of Yaoundé I, POB 812 Yaoundé, Cameroon ALEXIS NANGUE ...
Uploads
Papers by Norbert Noutchegueme