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• W1965768087 abstract "We prove the global unique existence of classical solutions to the Einstein equations coupled with Maxwell-Higgs system for small initial data under the spherical symmetry. We also obtain the decay estimates of the solutions, and find that the corresponding space-time is time-like and null geodesically complete toward the future. For the proof we reduce the system to a single first order integrodifferential equation, and use the contraction mapping theorem in the appropriate function spaces. We also obtain the completeness of space-time along the future directed time-like lines exterior to a region which resembles the even horizon of the Reissner-Nordström black hole." @default.
• W1965768087 created "2016-06-24" @default.
• W1965768087 creator A5041354678 @default.
• W1965768087 date "2003-03-01" @default.
• W1965768087 modified "2023-10-05" @default.
• W1965768087 title "Global Existence of Solutions to the Coupled Einstein and Maxwell-Higgs System in the Spherical Symmetry" @default.
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• W1965768087 doi "https://doi.org/10.1007/s00023-003-0121-0" @default.
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