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arXiv · 1812.05403

Classical axisymmetric gravity in real Ashtekar variables

Rodolfo Gambini·Esteban Mato·Javier Olmedo·Jorge Pullin
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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.

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Rodolfo Gambini, Esteban Mato, Javier Olmedo, Jorge Pullin. 2018-12-13. Classical axisymmetric gravity in real Ashtekar variables. https://doi.org/10.1088/1361-6382%2Fab1d82

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