All minisuperspaces from symmetry reductions of the Einstein-Hilbert Lagrangian that obey the principle of symmetric criticality are canonically quantized and their Wheeler-DeWitt equations are solved.
Schwarzschild are given by X1 = p 1−kρ cosφ∂ ρ − sinφ ρ ∂φ , X 2 = p 1−kρ sinφ∂ ρ − cosφ ρ ∂φ , X 3 =∂ φ, X 4 =∂ t,(3.1) wherek= 1 for spherical andk=−1 for hyperbolic cases
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Canonical quantization of all minisuperspaces with consistent symmetry reductions
All minisuperspaces from symmetry reductions of the Einstein-Hilbert Lagrangian that obey the principle of symmetric criticality are canonically quantized and their Wheeler-DeWitt equations are solved.