New boundary variables for classical and quantum gravity on a null surface
Abstract
The covariant Hamiltonian formulation for general relativity is studied in terms of self-dual variables on a manifold with an internal and lightlike boundary. At this inner boundary, new canonical variables appear: a spinor and a spinor-valued two-form that encode the entire intrinsic geometry of the null surface. At a two-dimensional cross-section of the boundary, quasi-local expressions for the generators of two-dimensional diffeomorphisms, time translations, and dilatations of the null normal are introduced and written in terms of the new boundary variables. In addition, a generalisation of the first-law of black-hole thermodynamics for arbitrary null surfaces is found, and the relevance of the framework for non-perturbative quantum gravity is stressed and explained.
Cite
@article{arxiv.1704.07391,
title = {New boundary variables for classical and quantum gravity on a null surface},
author = {Wolfgang Wieland},
journal= {arXiv preprint arXiv:1704.07391},
year = {2017}
}
Comments
41 pages, one figure