Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case

Abstract

We propose a general framework for the study of asymptotically flat black objects with $k+1$ equal magnitude angular momenta in $d\ge 5$ spacetime dimensions (with $0\le k\le \left[\frac{d-5}{2}\right]$). In this approach, the dependence on all angular coordinates but one is factorized, which leads to a codimension-two problem. This framework can describe black holes with spherical horizon topology, the simplest solutions corresponding to a class of Myers-Perry black holes. A different set of solutions describes balanced black objects with $S^{n+1}\times S^{2k+1}$ horizon topology. The simplest members of this family are the black rings $(k=0)$. The solutions with $k>0$ are dubbed $blackringoids$. Based on the nonperturbative numerical results found for several values of $(n,k)$, we propose a general picture for the properties and the phase diagram of these solutions and the associated black holes with spherical horizon topology: $n=1$ black ringoids repeat the $k=0$ pattern of black rings and Myers-Perry black holes in 5 dimensions, whereas $n>1$ black ringoids follow the pattern of higher dimensional black rings associated with `pinched' black holes and Myers-Perry black holes.

arXiv comment51 pages, 16 figures

References in corpus (25)

• A rotating black ring in five dimensions
• Black Holes in Higher Dimensions
• Black Rings
• Essentials of Blackfold Dynamics
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• World-Volume Effective Theory for Higher-Dimensional Black Holes
• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Black holes with only one Killing field
• Black Rings in (Anti)-deSitter space
• Black Holes on Cylinders
• Properties of Kaluza-Klein black holes
• New Horizons for Black Holes and Branes
• Charged Rotating Black Holes in Odd Dimensions
• Dynamics and Stability of Black Rings
• Black rings in more than five dimensions
• Rings, Ripples, and Rotation: Connecting Black Holes to Black Rings
• Multi-black rings and the phase diagram of higher-dimensional black holes
• Negative Horizon Mass for Rotating Black Holes
• $d\ge 5$ static black holes with $S^2\times S^{d-4}$ event horizon topology
• Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory
• New generalized nonspherical black hole solutions
• Generalized Weyl solutions in d=5 Einstein-Gauss-Bonnet theory: the static black ring
• Higher dimensional black holes
• Charged Balanced Black Rings in Five Dimensions
• $d\ge 5$ magnetized static, balanced black holes with $S^2\times S^{d-4}$ event horizon topology

Cited by in corpus (11)

• The Black Ring is Unstable
• Extremal Black Hole Horizons
• On the Structure of Rotating Charged Boson Stars
• Black rings in global anti-de Sitter space
• Probing the universality of synchronised hair around rotating black holes with Q-clouds
• New Geometries for Black Hole Horizons
• Balancing a static black ring with a phantom scalar field
• Blackfolds, Plane Waves and Minimal Surfaces
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair
• Towards higher dimensional black rings
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$