Exotic Black Holes and Their Stability in Brans-Dicke Theory

Physics

Scientific paper

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Scientific paper

We discuss non-Abelian black holes in Brans-Dicke theory. A cusp structure in the mass-horizon diagram, which is a typical symptom of stability change in catastrophe theory, does not appear in the Brans-Dicke frame but is found in the Einstein conformal frame. This suggests that catastrophe theory will be simply applied for a stability analysis if we use the variables in the Einstein frame.

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