Characteristic gluing to the Kerr family and application to spacelike gluing
Abstract
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 centerofmass. As a corollary, we obtain an alternative proof of the CorvinoSchoen spacelike gluing construction for strongly asymptotically flat spacelike initial data.
 Publication:

arXiv eprints
 Pub Date:
 July 2021
 arXiv:
 arXiv:2107.02456
 Bibcode:
 2021arXiv210702456A
 Keywords:

 General Relativity and Quantum Cosmology;
 Mathematical Physics;
 Mathematics  Analysis of PDEs;
 Mathematics  Differential Geometry
 EPrint:
 88 pages, 10 figures