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Bianchi-I classical and quantum spinor cosmology with signature change | | B. Vakili
; H. R. Sepangi
; | | Date: |
21 Aug 2005 | | Journal: | JCAP 0509 (2005) 008 | | Subject: | gr-qc hep-th | | Abstract: | We study the classical and quantum evolution of a universe in which the matter source is a massive Dirac spinor field and the universe is described by a Bianchi type I metric. We focus attention on those classical solutions that admit a degenerate metric in which the scale factors have smooth behavior in transition from a Euclidean to a Lorentzian domain and show that this transition happens when the cosmological constant, $Lambda$, is negative. The resulting quantum cosmology and the corresponding Wheeler-DeWitt equation are also studied and closed form expressions for the wave functions of the universe is presented. We have shown that there is a close relationship between the quantum states and signature changing classical solutions, suggesting a mechanism for creation of a Lorentzian universe from a Euclidean region by a continuous change of signature. The quantum solutions also represent a quantization rule for the mass of the spinor field. | | Source: | arXiv, gr-qc/0508090 | | Services: | Forum | Review | PDF | Favorites | |
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