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Spherically symmetric Einstein-scalar-field equations for wave-like decaying null infinity (2108.03419v2)
Published 7 Aug 2021 in gr-qc, math.AP, and math.DG
Abstract: We show that the spherically symmetric Einstein-scalar-field equations for wave-like decaying initial data at null infinity have unique local solutions and unique global solutions for small initial data. We also generalize Christodoulou's global generalized solutions to the wave-like decaying initial data. We emphasize that this decaying condition is sharp.
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