A New Class of Exact Hairy Black Hole Solutions
2010
19 pages
Published in:
- Gen.Rel.Grav. 43 (2011) 163-180
e-Print:
- 0911.1711 [hep-th]
Report number:
- UTHET-09-1001
View in:
Citations per year
Abstract: (arXiv)
We present a new class of black hole solutions with minimally coupled scalar field in the presence of a negative cosmological constant. We consider a one-parameter family of self-interaction potentials parametrized by a dimensionless parameter . When , we recover the conformally invariant solution of the Martinez-Troncoso-Zanelli (MTZ) black hole. A non-vanishing signals the departure from conformal invariance. All solutions are perturbatively stable for negative black hole mass and they may develop instabilities for positive mass. Thermodynamically, there is a critical temperature at vanishing black hole mass, where a higher-order phase transition occurs, as in the case of the MTZ black hole. Additionally, we obtain a branch of hairy solutions which undergo a first-order phase transition at a second critical temperature which depends on and it is higher than the MTZ critical temperature. As , this second critical temperature diverges.Note:
- 18 pages, 6 figures, minor changes, references added, published version
- Black holes
- Hairy black holes
- black hole: hair
- critical phenomena: higher-order
- cosmological constant: negative
- coupling: scalar
- field equations: solution
- thermodynamics
- energy
- stability
References(45)
Figures(23)