Abstract
Global existence to the coupled Einstein–Maxwell–Massive Scalar Field system which rules the dynamics of a kind of charged pure matter in the presence of a massive scalar field is proved, in Bianchi I–VIII spacetimes. The result is established in the case of a cosmological constant bounded from below by a strictly negative constant depending only on the potential of the massive scalar field, for strictly negative initial data of the mean curvature.
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Acknowledgments
We acknowledge with thanks the support of Perimeter Institute for Theoretical Physics, Toronto(Waterloo), Canada, where this paper was initiated.