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arXiv · 2108.03419

Spherically symmetric Einstein-scalar-field equations for wave-like decaying null infinity

Chuxiao Liu·Xiao Zhang
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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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Chuxiao Liu, Xiao Zhang. 2021-08-07. Spherically symmetric Einstein-scalar-field equations for wave-like decaying null infinity. https://doi.org/10.1016/j.aim.2022.108642

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