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We prove that the number of odd parity instabilities of the n-th SU(2)Einstein-Yang-Mills-Dilaton soliton and black hole equals n.Comment: Added reference

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Instabilities of the static, spherically symmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>Einstein-Yang-Mills-Dilaton solitons and black holes

Instabilities of the static, spherically symmetricSU(2)Einstein-Yang-Mills-Dilaton solitons and black holes