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arXiv · 1111.6581

Black brane solutions and their solitonic extremal limit in Einstein-scalar gravity

Mariano Cadoni·Salvatore Mignemi·Matteo Serra
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Abstract

We investigate static, planar, solutions of Einstein-scalar gravity admitting an anti-de Sitter (AdS) vacuum. When the squared mass of the scalar field is positive and the scalar potential can be derived from a superpotential, minimum energy theorems indicate the existence of a scalar soliton. On the other hand, for these models, no-hair theorems forbid the existence of hairy black brane solutions with AdS asymptotics. By considering a specific example (an exact integrable model which has the form of a Toda molecule) and by deriving explicit exact solution, we show that these models allow for hairy black brane solutions with non-AdS domain wall asymptotics, whose extremal limit is a scalar soliton. The soliton smoothly interpolates between a non-AdS domain wall solution at $r=\infty$ and an AdS solution near $r=0$.

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Mariano Cadoni, Salvatore Mignemi, Matteo Serra. 2011-11-28. Black brane solutions and their solitonic extremal limit in Einstein-scalar gravity. https://doi.org/10.1103/physrevd.85.086001

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