Classical axisymmetric gravity in real Ashtekar variables
ORAL
Abstract
We set up axisymmetric general relativity in terms of real
Ashtekar--Barbero variables. We analyze 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.
Ashtekar--Barbero variables. We analyze 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.
*This work was done in collaboration with Rodolfo Gambini, Esteban Mato-Capurro and Javier Olmedo. It received funding from the National Science Foundation, CCT-LSU and the Horace Hearne Institute for Theoretical Physics at LSU, Pedeciba, the Eberly Research Fund at PennState and MINECO Projects from Spain.
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Presenters
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Jorge Pullin
- Louisiana State University