The Einstein-Vlasov system with a scalar field

Abstract

We study the Einstein-Vlasov system coupled to a nonlinear scalar field with a nonnegative potential in locally spatially homogeneous spacetime, as an expanding cosmological model. It is shown that solutions of this system exist globally in time. When the potential of the scalar field is of an exponential form, the cosmological model corresponds to accelerated expansion. The Einstein-Vlasov system coupled to a nonlinear scalar field whose potential is of an exponential form shows the causal geodesic completeness of the spacetime towards the future. The asymptotic behaviour of solutions of this system in the future time is analysed in various aspects, which shows power-law expansion.

arXiv comment30 pages

References in corpus (3)

• Global Properties of Locally Spatially Homogeneous Cosmological Models with Matter
• Asymptotic behaviour of the Einstein-Vlasov system with a positive cosmological constant
• Cosmic Censorship for Some Spatially Homogeneous Cosmological Models

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