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Phase transitions near black hole horizons

Steven S. Gubser
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Abstract

The Reissner-Nordstrom black hole in four dimensions can be made unstable without violating the dominant energy condition by introducing a real massive scalar with non-renormalizable interactions with the gauge field. New stable black hole solutions then exist with greater entropy for fixed mass and charge than the Reissner-Nordstrom solution. In these new solutions, the scalar condenses to a non-zero value near the horizon. Various generalizations of these hairy black holes are discussed, and an attempt is made to characterize when black hole hair can occur.

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Steven S. Gubser. 2005-10-22. Phase transitions near black hole horizons. https://doi.org/10.1088/0264-9381%2F22%2F23%2F013

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