Dirac equation in bianchi I metrics |
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Institution: | 1. Department of Nutrition, Gillings School of Global Public Health, University of North Carolina at Chapel Hill, Chapel Hill, NC;2. Biomedical Research Imaging Center, University of North Carolina at Chapel Hill, Chapel Hill, NC;3. Department of Psychology and Neuroscience, University of North Carolina at Chapel Hill, Chapel Hill, NC;4. Department of Psychiatry, Yale University School of Medicine, New Haven, CT;5. Department of Decision Neuroscience and Nutrition, German Institute of Human Nutrition (DIfE), Potsdam-Rehbruecke, Germany;6. Charité-Universitätsmedizin Berlin, Corporate member of Freie Universität Berlin, Humboldt-Universität zu Berlin, and Berlin Institute of Health, Neuroscience Research Center, Berlin, Germany;7. Deutsches Zentrum für Diabetes, 85764, Neuherberg, Germany;8. Carolina Population Center, University of North Carolina at Chapel Hill, Chapel Hill, NC |
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Abstract: | We present the Dirac equation generalization to spatially flat anisotropic Bianchi I metrics and we study their classical solutions. We find only two independent spinors, and we show that it is not possible to obtain the solutions from those of the Robertson-Walker case by perturbing the metric. |
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