English

$\rm \Psi= W e^{\pm \Phi}$ quantum cosmological solutions for Class A Bianchi Models

General Relativity and Quantum Cosmology 2009-10-28 v1

Abstract

We find solutions for quantum Class A Bianchi models of the form Ψ=We±Φ\rm \Psi=W e^{\pm \Phi} generalizing the results obtained by Moncrief and Ryan in standard quantum cosmology. For the II and IX Bianchi models there are other solutions Φ~2\rm \tilde\Phi_2, Φ~9\rm \tilde\Phi_9 to the Hamilton-Jacobi equation for which Ψ\rm \Psi is necessarely zero, in contrast with solutions found in supersymmetric quantum cosmology.

Keywords

Cite

@article{arxiv.gr-qc/9506021,
  title  = {$\rm \Psi= W e^{\pm \Phi}$ quantum cosmological solutions for Class A Bianchi Models},
  author = {O. Obregón and J. Socorro},
  journal= {arXiv preprint arXiv:gr-qc/9506021},
  year   = {2009}
}

Comments

15 pages, Latex

R2 v1 2026-07-22T12:50:15.175Z