Characteristic Gluing to the Kerr Family and Application to Spacelike Gluing

Stefanos Aretakis, Stefan Czimek, Igor Rodnianski

Research output: Contribution to journalArticlepeer-review


This is the third paper in a series of papers adressing the characteristic gluing problem for the Einstein vacuum equations. We provide full details of our characteristic gluing (including the 10 charges) of strongly asymptotically flat data to the data of a suitably chosen Kerr spacetime. The choice of the Kerr spacetime crucially relies on relating the 10 charges to the ADM energy, linear momentum, angular momentum and the center-of-mass. As a corollary, we obtain an alternative proof of the Corvino-Schoen spacelike gluing construction for strongly asymptotically flat spacelike initial data.

Original languageEnglish (US)
Pages (from-to)275-327
Number of pages53
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Oct 2023

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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