Extremal isolated horizons with $\Lambda$ and the related unique type D black holes

Abstract

We extend our previous work in which we derived the most general form of an induced metric describing the geometry of an axially symmetric extremal isolated horizon (EIH) in asymptotically flat spacetime. Here we generalize it to EIHs in asymptotically (anti-)de Sitter spacetime. The resulting metric conveniently forms a 6-parameter family which, in addition to a cosmological constant $\Lambda$, depends on the area of the horizon, total electric and magnetic charges, and two deficit angles representing conical singularities at poles. Such a metric is consistent with results obtained in the context of near-horizon geometries. Moreover, we study extremal horizons of all black holes within the class of Plebanski-Demianski exact (electro)vacuum spacetimes of the algebraic type D. In an important special case of non-accelerating black holes, that is the famous Kerr-Newman-NUT-(A)dS metric, we were able to identify the corresponding extremal horizons, including their position and geometry, and find explicit relations between the physical parameters of the metric and the geometrical parameters of the EIHs.

arXiv comment28 pages, 1 figure

References in corpus (18)

• Isolated and dynamical horizons and their applications
• A new look at the Plebanski-Demianski family of solutions
• Classification of near-horizon geometries of extremal black holes
• No-hair theorem for Black Holes in Astrophysical Environments
• Multipole Moments of Isolated Horizons
• A classification of near-horizon geometries of extremal vacuum black holes
• Extremal Isolated Horizons: A Local Uniqueness Theorem
• Accelerating and rotating black holes
• Accelerating Kerr-Newman black holes in (anti-)de Sitter space-time
• Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
• New improved form of black holes of type D
• Accelerating NUT black holes
• The spacetime in the neighborhood of a general isolated black hole
• The Meissner Effect for axially symmetric charged black holes
• The Meissner effect for weakly isolated horizons
• Uniqueness of extreme horizons in Einstein-Yang-Mills theory
• Axisymmetric, extremal horizons in the presence of a cosmological constant
• Uniqueness of extremal isolated horizons and their identification with horizons of all type D black holes

Cited by in corpus (3)

• New form of all black holes of type D with a cosmological constant
• Isolated horizons of the Hopf bundle structure transversal to the null direction, the horizon equations and embeddability in NUT-like spacetimes
• Vacuum Petrov type D horizons of non-trivial $U(1)$ bundle structure over Riemann surfaces with genus $>0$