Essentials of blackfold dynamics

By Roberto Emparan, T. Harmark, Vasilis Niarchose, N. Obers. 2009

247 citations recorded by the source corpus.

We develop and significantly generalize the effective worldvolume theory for higher-dimensional black holes recently proposed by the authors. The theory, which regards the black hole as a black brane curved into a submanifold of a background spacetime — a blackfold—, can be formulated in terms of an effective fluid that lives on a dynamical worldvolume. Thus the blackfold equations split into intrinsic (fluid-dynamical) equations, and extrinsic (generalized geodesic embedding) equations. The intrinsic equations can be easily solved for equilibrium configurations, thus providing an efficient formalism for the approximate construction of novel stationary black holes. Furthermore, it is possible to study time evolution. In particular, the long-wavelength component of the Gregory-Laflamme instability of black branes is obtained as a sound-mode instability of the effective fluid. We also discuss action principles, connections to black hole thermodynamics, and other consequences and possible extensions of the approach. Finally, we outline how the fluid/AdS-gravity correspondence is related to this formalism.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f821f71204b4fa2b7b03ea18581595bbd75f3067

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Citations in the corpus

Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, methodology): “The ultraspinning expansion approximates the properties of black membranes and relates to the effective blackfold description [78] and the Gregory–Laflamme instability [79].”
Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS (2013, background): “[53, 54]); however, as we here are concerned with QNMs we can explore the connection of hydrodynamical modes in AdS with relevant ones in AF spacetimes.”
The fluid/gravity correspondence: a new perspective on the membrane paradigm (2010, unknown): “At a more general level, the framework of the fluid/gravity correspondence is rather reminiscent of the recently-developed ‘blackfold approach’ to constructing higher-dimensional black holes [59, 60].”
An instability of higher-dimensional rotating black holes (2010, result): “. Note that the slope =kapproaches a common limiting value as k!0, independently of the value of a. This long-wavelength limiting behaviour is captured by the blackfold approach: it follows from Ref. [6] that =k!1= p D 2 as k!0. This is consistent with our numerical results. We nd no solution of (9)”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “An interesting connection also exists between our work and the so-called blackfold approach [69, 70, 71, 72] to black hole dynamics, of which the fluid/gravity correspondence may be viewed as a holographic implementation.”
Exotic Branes in String Theory (2012, background): “One may wonder if one can find codimension-2 black holes in the blackfold approach [112, 113].”
The large D limit of General Relativity (2013, background): “Exact analytical solutions have only been found in five dimensions, but approximate solutions are known for black rings and many other black holes in arbitrary D ≥ 5 [28, 29].”