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2018

Classical axisymmetric gravity in real Ashtekar variables

Gambini, Rodolfo, Mato, Esteban, Olmedo, Javier et al.

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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.

Classical axisymmetric gravity in real Ashtekar variables · Around

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B. Elizaga Navascués, M. Martín-Benito and G. A. Mena Marugán, Int. J. Mod. Phys. D 25
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