The Einstein-Dirac Equation in Robertson-Walker Space-Time Does Not Admit Standard Solutions |
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| Authors: | Antonio Zecca |
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| Institution: | (1) Dipartimento di Fisica dell’ Universita’, Via Celoria 16, 20133 Milano, Italy;(2) INFN, Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Italy;(3) GNFM, Gruppo Nazionale per la Fisica Matematica, Sesto Fiorentino, Italy |
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| Abstract: | The Einstein-Dirac equation is considered in the Robertson-Walker space-time. Solutions of the equation are looked for in
the class of standard solutions of the Dirac equation. It is shown that the Einstein-Dirac equation does not have standard
solutions for both massive and massless Dirac field. Also superpositions of massive standard solutions are not solutions of
the Einstein-Dirac equation. The result, that is briefly commented, is coherent and complementary to other existing results. |
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| Keywords: | Dirac equation Einstein-Dirac equation Robertson-Walker space-time Solutions |
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