Decoupling and non-decoupling dynamics of large D black holes

Abstract

The limit of large number of dimensions localizes the gravitational field of a black hole in a well-defined region near the horizon. The perturbative dynamics of the black hole can then be characterized in terms of states in the near-horizon geometry. We investigate this by computing the spectrum of quasinormal modes of the Schwarzschild black hole in the 1/D expansion, which we find splits into two classes. Most modes are non-decoupled modes: non-normalizable states of the near-horizon geometry that straddle between the near-horizon zone and the asymptotic zone. They have frequency of order D/r_0 (with r_0 the horizon radius), and are also present in a large class of other black holes. There also exist a much smaller number of decoupled modes: normalizable states of the near-horizon geometry that are strongly suppressed in the asymptotic region. They have frequency of order 1/r_0, and are specific of each black hole. Our results for their frequencies are in excellent agreement with numerical calculations, in some cases even in D=4.

30 pages, 13 figures; v2: minor corrections

References in corpus (3)

• High and Low Dimensions in The Black Hole Negative Mode
• Instability of rotating black holes: large D analysis
• Holographic superconductivity in the large D expansion

Cited by in corpus (57)

• The Effective Field Theorist's Approach to Gravitational Dynamics
• Effective theory of Black Holes in the 1/D expansion
• Evolution and endpoint of the black string instability: Large D solution
• A membrane paradigm at large D
• Quasinormal modes of (Anti-)de Sitter black holes in the 1/D expansion
• Hydro-elastic Complementarity in Black Branes at large D
• The Large D Limit of Einstein's Equations
• The holographic dual of a Riemann problem in a large number of dimensions
• Non-uniform black strings and the critical dimension in the $1/D$ expansion
• The large D black hole Membrane Paradigm at first subleading order
• Currents and Radiation from the large $D$ Black Hole Membrane
• Phases and Stability of Non-Uniform Black Strings
• Quasinormal modes of Gauss-Bonnet black holes at large D
• Einstein-Gauss-Bonnet Black Strings at Large $D$
• Black rings at large D
• Unstable `black branes' from scaled membranes at large $D$
• Rotating black holes and black bars at large D
• Solving the Teukolsky equation with physics-informed neural networks
• On Brane Instabilities in the Large $D$ Limit
• Holographic Turbulence in a Large Number of Dimensions
• Charged rotating black holes in higher dimensions
• An Action for and Hydrodynamics from the improved Large D membrane
• Cosmic censorship violation in black hole collisions in higher dimensions
• Static Gauss-Bonnet Black Holes at Large $D$
• A Charged Membrane Paradigm at Large D
• Drude in D major
• Charged Black Rings at large D
• The large D black hole dynamics in AdS/dS backgrounds
• Black holes in presence of cosmological constant: Second order in 1/D
• Holographic Bjorken Flow at Large-D
• Reconstruction of the quasinormal spectrum from pole-skipping
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• The Large Dimension Limit of a Small Black Hole Instability in Anti-de Sitter Space
• Stationary Solutions from the Large D Membrane Paradigm
• Large D gravity and charged membrane dynamics with nonzero cosmological constant
• Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$
• Topology-changing horizons at large D as Ricci flows
• Photon Emission Near Myers-Perry Black Holes in the Large Dimension Limit
• CFT dual of charged AdS black hole in the large dimension limit
• Black Ripples, Flowers and Dumbbells at large $D$
• Black-hole head-on collisions in higher dimensions
• Non-spherically symmetric black string perturbations in the large D limit
• The large D Membrane Paradigm For Einstein-Gauss-Bonnet Gravity
• A leading-order comparison between fluid-gravity and membrane-gravity dualities
• Large D membrane for Higher Derivative Gravity and Black Hole Second Law
• Cosmic Censorship at Large D: Stability analysis in polarized AdS black branes (holes)
• The Fate of Instability of de Sitter Black Holes at Large $D$
• A Zoo of Deformed Jackiw-Teitelboim Models near Large Dimensional Black Holes
• The large $D$ membrane paradigm for general four-derivative theory of gravity with a cosmological constant
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• General Theory of Large D Membranes Consistent with Second Law of Thermodynamics
• Black Hole Critical Collapse in Infinite Dimensions: Continuous Self-Similar Solutions
• Horizon Tunneling Revisited: The Case of Higher Dimensional Black Holes
• Black hole one-loop determinants in the large dimension limit
• Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large $D$ Limit
• Stress Tensor for Large-$D$ membrane at subleading orders