# Integrability and null canonical gravity

### APA

Reisenberger, M. (2016). Integrability and null canonical gravity. Perimeter Institute. https://pirsa.org/16090059

### MLA

Reisenberger, Michael. Integrability and null canonical gravity. Perimeter Institute, Sep. 22, 2016, https://pirsa.org/16090059

### BibTex

@misc{ pirsa_PIRSA:16090059, doi = {10.48660/16090059}, url = {https://pirsa.org/16090059}, author = {Reisenberger, Michael}, keywords = {Quantum Gravity}, language = {en}, title = {Integrability and null canonical gravity}, publisher = {Perimeter Institute}, year = {2016}, month = {sep}, note = {PIRSA:16090059 see, \url{https://pirsa.org}} }

Michael Reisenberger Universidad de la Republica Uruguay

## Abstract

Constraint free initial data can be given for vacuum general relativity on a pair of intersecting null hypersurfaces. Moreover, the Poisson algebra of a set of such free null initial data has been found,but it has an unfamiliar structure, making its quantization difficult. We note that this algebra is essentially a sum of an infinite number of copies of the Poisson algebras of cylindrically symmetric gravity. Using the fact that cylindrically symmetric gravity is integrable we find new free data with an algebra more amenable to quantization.