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Asymptotics of solutions of the Einstein equations with positive cosmological constant
Alan D. Rendall
A positive cosmological constant simplifies the asymptotics of forever expanding cosmological solutions of the Einstein equations. In this paper a general mathematical analysis on…
Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant
S. B. Tchapnda, A. D. Rendall
The behaviour of expanding cosmological models with collisionless matter and a positive cosmological constant is analysed. It is shown that under the assumption of plane or hyperbo…
Fuchsian methods and spacetime singularities
Alan D. Rendall
Fuchsian methods and their applications to the study of the structure of spacetime singularities are surveyed. The existence question for spacetimes with compact Cauchy horizons is…
Existence of initial data satisfying the constraints for the spherically symmetric Einstein-Vlasov-Maxwell system
P. Noundjeu, N. Noutchegueme, A. D. Rendall
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…