Spherically symmetric Einstein-scalar-field equations for wave-like decaying null infinity (Xiao Zhang)
Time：2023-06-26 Source：Font Size：[Large | Medium | Small] [Print]
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.
Publication:
Advances in Mathematics, Volume 409, Part A, 19 November 2022, 108642
DOI: 10.1016/j.aim.2022.108642
