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Contracting asymptotics of the linearized lapse-scalar field sub-system of the Einstein-scalar field equations

Contracting asymptotics of the linearized lapse-scalar field sub-system of the Einstein-scalar field equations

We prove an asymptotic stability result for a linear coupled hyperbolic–elliptic system on a large class of singular background spacetimes in constant mean curvature gauge on the n-torus. At each spatial point, these background spacetimes are perturbations of Kasner-like solutions of the Einstein-scalar field equations which are not required to …