Two-uniqueness of rational ghost soliton solution and well-posedness of perturbed Einstein-Yang-Mills equations
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<abstract><p>In this paper, we discuss the uniqueness and existence of local solutions for the perturbed static, spherically symmetric Einstein-Yang-Mills (EYM) equations with gauge group $ SU(2) $. Moreover, we show that the rational expression solutions to the equations only happened in traditional Schwarzschild solutions and Reissner-Nordstrom solutions. From these results, we can infer that there is no rational ghost soliton solution for the EYM equations.</p></abstract>
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1992 ◽
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