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arXiv · 0810.3732

Newtonian perturbations and the Einstein-Yang-Mills-dilaton equations

Todd Oliynyk
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Abstract

In this paper we show that problem of proving the existence of a countable number of solutions to the static spherically symmetric SU(2) Einstein-Yang-Mills-dilaton (EYMd) equations can be reduced to proving the non-existence of solutions to the linearized Yang-Mills-dilaton equations (lYMd) satisfying certain asymptotic conditions. The reduction from a non-linear to a linear problem is achieved using a Newtonian perturbation type argument.

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Todd Oliynyk. 2008-10-21. Newtonian perturbations and the Einstein-Yang-Mills-dilaton equations. https://doi.org/10.1088/0264-9381%2F22%2F11%2F022

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