Conditional symmetries and phase space reduction towards GCT invariant wave functions, for the class A Bianchi type VI and VII vacuum cosmologies

DOI10.1016/S0370-2693(01)00793-6zbMath0969.83560arXivgr-qc/0101103OpenAlexW1981287841MaRDI QIDQ5938091

Theodosios Christodoulakis, Georgios Papadopoulos, Georgios Kofinas

Publication date: 31 July 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0101103

zbMATH Keywords

Wheeler-De Witt equationautomorphism group actionextra symmetry

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (4)

Bianchi type V cosmological models with varying cosmological term ⋮ Spinor field with induced nonlinearity in Bianchi VI cosmology: exact and numerical solutions ⋮ The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations ⋮ Some exact Bianchi type-V perfect fluid cosmological models with heat flow and decaying vacuum energy density \(\Lambda \): expressions for some observable quantities

Cites Work

• Transversal affine connection and quantization of constrained systems
• Conditional symmetries, the true degree of freedom and GCT invariant wave functions for the general Bianchi type II vacuum cosmology
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