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- W2078394887 abstract "The structure of the equations describing a solitonic wormhole in the Einstein–Yang–Mills–Higgs system for an arbitrary compact and connected gauge group 𝒢 and representation of an arbitrary Higgs field Q is studied. The general structure of these equations and its use in deriving the first-order equations, which result by applying the operator ON=limN→0 ∂/∂N to the original equations, where N is the lapse function, is discussed. It is also possible to write down the nth-order equations, which are obtained by applying n times the operator ON, for a certain class of solutions. These nth-order equations are then specialized to the model with 𝒢=SU(2) and Q in the adjoint representation. These nth-order equations on the background of a non-Abelian zero-order solution, which can be gauge transformed to satisfy the ’t Hooft ansatz at the internal infinity of the hole, are solved. The technique used to solve the system is that of harmonic expansion, yielding an algebraic system of equations which can be interpreted as an eigenvalue problem. The eigenvalues are functions of the parameters of the model and zero-order quantities. Thus, depending on the values of these parameters, nontrivial nth-order solutions may exist or not. Those cases in which there exist nontrivial solutions are stated. Only for those cases can it be expected that global non-Abelian solitonic wormholes are found." @default.
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- W2078394887 date "1990-02-01" @default.
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- W2078394887 title "On the <i>n</i>th-order structure of solitonic wormholes" @default.
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- W2078394887 doi "https://doi.org/10.1063/1.528926" @default.
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