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arXiv · 1003.3232

Small Hairy Black Holes in Global AdS Spacetime

Pallab Basu·Jyotirmoy Bhattacharya·Sayantani Bhattacharyya·R. Loganayagam·Shiraz Minwalla·V. Umesh
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Abstract

We study small charged black holes in global AdS spacetime in the presence of a charged massless minimally coupled scalar field. In a certain parameter range these black holes suffer from well known superradiant instabilities. We demonstrate that the end point of the resultant tachyon condensation process is a hairy black hole which we construct analytically in a perturbative expansion in the black hole radius. At leading order our solution is a small undeformed RNAdS black hole immersed into a charged scalar condensate that fills the AdS `box'. These hairy black hole solutions appear in a two parameter family labelled by their mass and charge. Their mass is bounded from below by a function of their charge; at the lower bound a hairy black hole reduces to a regular horizon free soliton which can also be thought of as a nonlinear Bose condensate. We compute the microcanonical phase diagram of our system at small mass, and demonstrate that it exhibits a second order `phase transition' between the RNAdS black hole and the hairy black hole phases.

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Pallab Basu, Jyotirmoy Bhattacharya, Sayantani Bhattacharyya, R. Loganayagam, Shiraz Minwalla, V. Umesh. 2010-05-16. Small Hairy Black Holes in Global AdS Spacetime. https://doi.org/10.1007/jhep10(2010)045

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