# Growing hair on the extremal BTZ black hole

@article{Harms2017GrowingHO, title={Growing hair on the extremal BTZ black hole}, author={Benjamin Harms and Allen Stern}, journal={Physics Letters B}, year={2017}, volume={769}, pages={465-469} }

Abstract We show that the nonlinear σ-model in an asymptotically A d S 3 space-time admits a novel local symmetry. The field action is assumed to be quartic in the nonlinear σ-model fields and minimally coupled to gravity. The local symmetry transformation simultaneously twists the nonlinear σ-model fields and changes the space-time metric, and it can be used to map the extremal BTZ black hole to infinitely many hairy black hole solutions.

#### Figures from this paper

#### 4 Citations

Exactly solvable gravitating perfect fluid solitons in (2 + 1) dimensions

- Physics
- 2018

A bstractThe Bogomolnyi-Prasad-Sommerfield (BPS) baby Skyrme model coupled to gravity is considered. We show that in an asymptotically flat space-time the model still possesses the BPS property,… Expand

Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

- Physics
- 2020

We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram… Expand

Rotating AdS-Einstein universes from constrained metrics

- Physics
- Physical Review D
- 2019

The imposition of a constraint between the metric tensor elements in both three- and four-dimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to… Expand

Stationary scalar clouds around a BTZ black hole

- Physics
- 2017

Abstract We establish the existence of stationary clouds of massive test scalar fields around BTZ black holes. These clouds are zero-modes of the superradiant instability and are possible when Robin… Expand

#### References

SHOWING 1-10 OF 53 REFERENCES

Four-dimensional asymptotically AdS black holes with scalar hair

- Physics
- 2013

A bstractWe present a new family of asymptotically AdS four-dimensional black hole solutions with scalar hair of a gravitating system consisting of a scalar field minimally coupled to gravity with a… Expand

New black hole solutions with hair

- Physics
- 1991

Abstract We present new black hole solutions which provide counter examples to the “no hair” conjecture for non-linear matter fields. These have been found numerically for the non-linear sigma-model… Expand

Black holes and asymptotics of 2 + 1 gravity coupled to a scalar field

- Physics
- 2002

We consider $2+1$ gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is… Expand

Novel Rotating Hairy Black Hole in (2 + 1) Dimensions

- Physics
- 2014

We present some novel rotating hairy black hole metric in (2 + 1) dimensions, which is an exact solution to the field equations of the Einstein-scalar-AdS theory with a non-minimal coupling. The… Expand

Topological aspect of black hole with Skyrme hair

- Physics
- 2006

Based on the ϕ-mapping topological current theory, we show that the presence of the black hole leaves fractional baryon charge outside the horizon in the Einstein–Skyrme theory. A topological current… Expand

Exact black hole solution with a minimally coupled scalar field

- Physics
- 2004

An exact four-dimensional black hole solution of gravity with a minimally coupled self-interacting scalar field is reported. The event horizon is a surface of negative constant curvature enclosing… Expand

Quasinormal modes of the extremal BTZ black hole

- Physics
- 2004

Motivated by several pieces of evidence, in order to show that extremal black holes cannot be obtained as limits of non-extremal black holes, in this paper we calculate explicitly quasinormal modes… Expand

Stability and thermodynamics of AdS black holes with scalar hair

- Physics
- 2005

Recently a class of static spherical black hole solutions with scalar hair was found in four and five dimensional gauged supergravity with modified, but anti-de Sitter (AdS) invariant boundary… Expand

Black holes with scalar hair and asymptotics in N = 8 supergravity

- Physics
- 2004

We consider = 8 gauged supergravity in D = 4 and D = 5. We show one can weaken the boundary conditions on the metric and on all scalars with m2 < − (D − 1)2/4 + 1 while preserving the asymptotic… Expand

Skyrme black holes in the isolated horizons formalism

- Physics
- 2006

We study static, spherically symmetric, Skyrme black holes in the context of the assumption that they can be viewed as bound states between ordinary bare black holes and solitons. This assumption and… Expand