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.
Fork=±1, the equations reduce to q2 2∂q2 ξ4 = 6∂ϕξ1, ξ 1 + 2q2∂q2 ξ1 =− ξ1(6k+3Λq2 2) 6k+Λq2 2 ,3ξ 1 + 2q2∂ϕξ4 =− ξ1(6k+3Λq2 2) 6k+Λq2 2
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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.