New geometries for black hole horizons

Abstract

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 pbranes as well as helicoidal black rings and helicoidal black tori in D ≥ 6.

Blackfolds, plane waves and minimal surfaces

“…The fact that these geometries have string topology suggests that they can be bent into a helicoidal ring, in the same way that helical strings can be bent into helical rings [10]. In a related publication [52], we show that this is indeed the case. 21 The size of the transverse sphere r 0 (ρ) is given by…”

“…While this result is true in flat space-time, we have shown that it is not the case in (Anti)-de Sitter space-times as it was not possible to construct the corresponding helicoid geometries there. In a later publication [52], we show how discs and helicoid geometries can be used to construct new effective theories and other non-trivial black hole geometries such as helicoidal black rings and helicoidal black tori.…”

Geometries for black hole horizons

“…We believe b Formally, in order to obtain this geometry one has to first integrate out the finite line along the ρ coordinate and then use the resulting effective theory to construct a ring . that we have only scratched the surface and many more configurations, besides those found in [11][12][13] , can be constructed by, for example, considering higher-dimensional minimal surfaces.…”

“…This is a transcendental equation and cannot be solved analytically, though it can easily be solved numerically 13 . One observes that helicoidal black rings, for a given dimension, must rotate slower compared to the usual black rings.…”

Forced fluid dynamics from blackfolds in general supergravity backgrounds

“…In the context of the blackfold formalism, most of the developments have focused so far on black hole solutions in flat spacetimes [16,26,27]. Preliminary aspects of black brane solutions in AdS spacetimes have been studied in [14,19,28,29] (see also [15]).…”