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Gambini, Rodolfo; Mato, Esteban; Olmedo, Javier; Pullin, Jorge

Classical axisymmetric gravity in real Ashtekar variables. (English) Zbl 1475.83010

Classical Quantum Gravity 36, No. 12, Article ID 125009, 14 p. (2019).
Summary: 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.

Cited in 2 Documents

MSC:

83C10 Equations of motion in general relativity and gravitational theory
83C15 Exact solutions to problems in general relativity and gravitational theory
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
83C45 Quantization of the gravitational field
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References:

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