Classical axisymmetric gravity in real Ashtekar variables

Authors

Rodolfo Gambini, Universidad de la Republica Instituto de Fisica
Esteban Mato, Universidad de la Republica Instituto de Fisica
Javier Olmedo, Pennsylvania State University
Jorge Pullin, Louisiana State University

Document Type

Article

Publication Date

5-29-2019

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.

Publication Source (Journal or Book title)

Classical and Quantum Gravity

Recommended Citation

Gambini, R., Mato, E., Olmedo, J., & Pullin, J. (2019). Classical axisymmetric gravity in real Ashtekar variables. Classical and Quantum Gravity, 36 (12) https://doi.org/10.1088/1361-6382/ab1d82