Abstract
The Cauchy problem for the Einstein–Boltzmann-scalar field system is studied. A spatially flat Friedmann-Lemaître-Robertson-Walker spacetime is considered with matter contents described by the relativistic Boltzmann equation for Israel particles and a nonlinear scalar field with an exponential potential. The initial data are assumed to be small in a suitable sense, and we obtain the global existence and asymptotic behavior of small solutions.
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