Ψ=We ±Φ Quantum cosmological solutions for class A Bianchi models

1995/06/08 by O. Obregón, J. Socorro
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Class (philosophy) #Cosmology #Mathematical physics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #gr-qc

paper · pdf · doi:10.1007/bf02084947

published as Int.J.Theor.Phys. 35 (1996) 1381-1388 · 15 pages, Latex

arxiv created 1995/06/08 · openalex publication_date 1996/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We find solutions for quantum Class A Bianchi models of the form \rm Ψ=W e^{± Φ} generalizing the results obtained by Moncrief and Ryan in standard quantum cosmology. For the II and IX Bianchi models there are other solutions \rm Φ₂, \rm Φ₉ to the Hamilton-Jacobi equation for which \rm Ψ is necessarely zero, in contrast with solutions found in supersymmetric quantum cosmology.

Citations

• Bianchi cosmologies: New variables and a hidden supersymmetry
• New Variables for Classical and Quantum Gravity
• A class of homogeneous cosmological models
• New Hamiltonian formulation of general relativity