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

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

2008-10-21

arxiv.org/abs/0810.3732v1

Class.Quant.Grav.22:2269-2294,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

May differ slightly from the published version

Scientific paper

10.1088/0264-9381/22/11/022

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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