Null boundary phase space: slicings, news & memory
Abstract
We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface N as the boundary. The associated boundary symmetry algebra is a semi-direct 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 spin-memories, 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;
- Space-Time Symmetries;
- Gauge Symmetry;
- Global Symmetries;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 26 pages+appendices, references added, published version in JHEP