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.
The Einstein-Dirac equation in Robertson-Walker space-time does not admit standard solutions / A. Zecca. - In: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS. - ISSN 0020-7748. - 48:8(2009), pp. 2305-2310.
The Einstein-Dirac equation in Robertson-Walker space-time does not admit standard solutions
A. ZeccaPrimo
2009
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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