2009/11/30 by Theodoros Kolyvaris, G. Koutsoumbas, George Koutsoumbas +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Critical mass (sociodynamics) #Critical phenomena #Dimensionless quantity #Entropy (arrow of time) #Extremal black hole #Geometry #Invariant (physics) #Mathematical physics #Noncommutative and Quantum Gravity Theories #Phase transition #Physics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #gr-qc #hep-th
paper · pdf · doi:10.1007/s10714-010-1079-0
published as Gen.Rel.Grav.43:163-180,2011 · 18 pages, 6 figures, minor changes, references added, published version
arxiv created 2010/08/13 · openalex publication_date 2010/08/25 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 g. When g=0, we recover the conformally invariant solution of the Martinez-Troncoso-Zanelli (MTZ) black hole. A non-vanishing g 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 g and it is higher than the MTZ critical temperature. As g→ 0, this second critical temperature diverges.