New Geometries for Black Hole Horizons

Abstract

We construct several classes of worldvolume effective actions for black holes by integrating out spatial sections of the worldvolume geometry of asymptotically flat black branes. This provides a generalisation of the blackfold approach for higher-dimensional black holes and yields a map between different effective theories, which we exploit by obtaining new hydrodynamic and elastic transport coefficients via simple integrations. Using Euclidean minimal surfaces in order to decouple the fluid dynamics on different sections of the worldvolume, we obtain local effective theories for ultraspinning Myers-Perry branes and helicoidal black branes, described in terms of a stress-energy tensor, particle currents and non-trivial boost vectors. We then study in detail and present novel compact and non-compact geometries for black hole horizons in higher-dimensional asymptotically flat space-time. These include doubly-spinning black rings, black helicoids and helicoidal $p$-branes as well as helicoidal black rings and helicoidal black tori in $D\ge 6$.

v2: 37pp, 5figures, typos fixed, matches published version

References in corpus (7)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Multi-black rings and the phase diagram of higher-dimensional black holes
• Constraints on the effective fluid theory of stationary branes
• Black rings in global anti-de Sitter space
• Fundamental Plasmid Strings and Black Rings
• Probing the Hydrodynamic Limit of (Super)gravity
• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case

Cited by in corpus (12)

• Ultraspinning limits and super-entropic black holes
• Black rings at large D
• Lifshitz Hydrodynamics from Lifshitz Black Branes with Linear Momentum
• Forced Fluid Dynamics from Blackfolds in General Supergravity Backgrounds
• Extremal Black Hole Horizons
• Open/closed string duality and relativistic fluids
• Gravitational Tension, Spacetime Pressure and Black Hole Volume
• Blackfolds, Plane Waves and Minimal Surfaces
• Instabilities of Thin Black Rings: Closing the Gap
• Probing the near-horizon geometry of black rings
• New asymptotically (Anti)-de Sitter black holes in (super)gravity
• Towards higher dimensional black rings