Global existence of solutions to the Einstein-massive scalar field equations with a cosmological constant for a perfect fluid on the flat Robertson-Walker space-time

Abstract

In many cases a massive nonlinear scalar field can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject for flat Robertson-Walker space-time. Global existence to the coupled Einstein-massive scalar field system which rules the dynamics of a kind of pure matter in the presence of a massive scalar field and cosmological constant is proved, under the assumption that the scalar field ? is a non-decreasing function, in Robertson-Walker1 space-time; asymptotic behaviour are investigated in the case of a cosmological constant bounded from below by a strictly negative constant depending only on the massive scalar field.

arXiv admin note: text overlap with arXiv:gr-qc/0403070 by other authors

References in corpus (4)

• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• Asymptotic behaviour of the Einstein-Vlasov system with a positive cosmological constant
• On the Cosmological Constant Problems and the Astronomical Evidence for a Homogeneous Energy Density with Negative Pressure
• Einstein-Maxwell-Massive Scalar Field System in 3+1 formulation on Bianchi Spacetimes type I-VIII