Null boundary phase space: slicings, news & memory
Abstract
We construct the boundary phase space in Ddimensional Einstein gravity with a generic given codimension one null surface N as the boundary. The associated boundary symmetry algebra is a semidirect sum of diffeomorphisms of N and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over N . These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through N . In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, N _{v} for any fixed value of the advanced time v. Finally, we introduce null surface expansion and spinmemories, and discuss associated memory effects that encode the passage of gravitational waves through N , imprinted in a change of the surface charges.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2021
 DOI:
 10.1007/JHEP11(2021)155
 arXiv:
 arXiv:2110.04218
 Bibcode:
 2021JHEP...11..155A
 Keywords:

 Black Holes;
 SpaceTime Symmetries;
 Gauge Symmetry;
 Global Symmetries;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 26 pages+appendices, references added, published version in JHEP