Cosmological solutions for the coupled Einstein-Yang-Mills-Higgs equations |
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Authors: | U Ochs M Sorg |
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Institution: | (1) II. Institut für Theoretische Physik, Pfaffenwaldring 57, D-70550 Stuttgart, Germany |
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Abstract: | The coupled system of Einstein-Yang-Mills-Higgs equations is solved numerically for a Robertson-Walker symmetric universe. The open universe must be excluded because, for this situation, the coupled system is unable to produce energy-momentum densityT
in agreement with the Robertson-Walker symmetry. For the closed universe, inflation solutions do occur if an early re-collapse is avoided by suitable choice of the initial conditions. The energy exchange between the minimally coupled Higgs and Yang-Mills subsystems is very small so that the inflating power of the Higgs field cannot be disturbed by the presence of the Yang-Mills field. After the inflation phase the influence of the Yang-Mills field is completely negligible (cosmic no-hair theorem). |
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Keywords: | Yang-Mills equation inflation in Robertson-Walker models |
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