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Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant

Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant

We consider solutions to the Einstein-massless-scalar field system with a positive cosmological constant, arising from sufficiently regular, near-FLRW, initial data. We establish global existence in the future direction and derive their precise asymptotic behavior towards infinity. As a corollary, we infer that, unlike the FLRW background, the perturbed solutions do …