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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

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