Axially symmetric static scalar solitons and black holes with scalar hair

Abstract

We construct static, asymptotically flat black hole solutions with scalar hair. They evade the no-hair theorems by having a scalar potential which is not strictly positive. By including an azimuthal winding number in the scalar field ansatz, we find hairy black hole solutions which are static but axially symmetric only. These solutions possess a globally regular limit, describing scalar solitons. A branch of axially symmetric black holes is found to possess a positive specific heat.

8 pages, 3 figures

References in corpus (3)

• Stationary ring solitons in field theory - knots and vortons
• Rotating Boson Stars and Q-Balls II: Negative Parity and Ergoregions
• Boson Shells Harbouring Charged Black Holes

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