Classical axisymmetric gravity in real Ashtekar variables
General Relativity and Quantum Cosmology
2019-06-03 v2 High Energy Physics - Theory
Abstract
We formulate axisymmetric general relativity in terms of real Ashtekar--Barbero variables. We study the constraints and equations of motion and show how the Kerr, Schwarzschild and Minkowski solutions arise. We also discuss boundary conditions. This opens the possibility of a midisuperspace quantization using loop quantum gravity techniques for spacetimes with axial symmetry and time dependence.
Keywords
Cite
@article{arxiv.1812.05403,
title = {Classical axisymmetric gravity in real Ashtekar variables},
author = {Rodolfo Gambini and Esteban Mato and Javier Olmedo and Jorge Pullin},
journal= {arXiv preprint arXiv:1812.05403},
year = {2019}
}
Comments
14 pages, no figures, RevTex. Published version