The correspondence between rotating black holes and fundamental strings

Abstract

The correspondence principle between strings and black holes is a general framework for matching black holes and massive states of fundamental strings at a point where their physical properties (such as mass, entropy and temperature) smoothly agree with each other. This correspondence becomes puzzling when attempting to include rotation: At large enough spins, there exist degenerate string states that seemingly cannot be matched to any black hole. Conversely, there exist black holes with arbitrarily large spins that cannot correspond to any single-string state. We discuss in detail the properties of both types of objects and find that a correspondence that resolves the puzzles is possible by adding dynamical features and non-stationary configurations to the picture. Our scheme incorporates all black hole and string phases as part of the correspondence, save for one outlier which remains enigmatic: the near-extremal Kerr black hole. Along the way, we elaborate on general aspects of the correspondence that have not been emphasized before.

arXiv comment48 pages, 11 figures. v2: 50 pages, 11 figures. Added discussion of ensembles in the correspondence and other smaller improvements. v3: published version

References in corpus (45)

• Black Strings and p-Branes are Unstable
• A rotating black ring in five dimensions
• The Kerr/CFT Correspondence
• Black Holes in Higher Dimensions
• A Correspondence Principle for Black Holes and Strings
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• Instability of Ultra-Spinning Black Holes
• Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings
• Essentials of Blackfold Dynamics
• Self Gravitating Fundamental Strings
• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• Self-gravitating fundamental strings and black-holes
• Instabilities of Black Strings and Branes
• Instability and new phases of higher-dimensional rotating black holes
• Microstates of a Neutral Black Hole in M Theory
• Asymptotic level density in heterotic string theory and rotating black holes
• End Point of Black Ring Instabilities and the Weak Cosmic Censorship Conjecture
• Bar-mode instability of rapidly spinning black hole in higher dimensions: Numerical simulation in general relativity
• Higher-dimensional Rotating Charged Black Holes
• Fundamental Strings as Black Bodies
• Dynamics and Stability of Black Rings
• Blackfolds in Supergravity and String Theory
• The Black Ring is Unstable
• Quasinormal modes of asymptotically flat rotating black holes
• Black hole collisions, instabilities, and cosmic censorship violation at large D
• EVH Black Holes, AdS3 Throats and EVH/CFT Proposal
• Rigidly Rotating Strings in Stationary Spacetimes
• Rings, Ripples, and Rotation: Connecting Black Holes to Black Rings
• Counting the Microstates of a Kerr Black Hole
• Rotating black holes and black bars at large D
• Bumpy black holes
• Handbook on string decay
• End point of nonaxisymmetric black hole instabilities in higher dimensions
• String Stars in Anti de Sitter Space
• Energy extraction from Kerr black holes by rigidly rotating strings
• Black Holes and Biophysical (Mem)-branes
• Portrait of the String as a Random Walk
• Fundamental Plasmid Strings and Black Rings
• Capture and Critical Scattering of a Long Cosmic String by a Rotating Black Hole
• Spinning black holes as cosmic string factories
• On Semiclassical Limits of String States
• Rigidly Rotating String Sticking in a Kerr Black Hole
• Massless radiation from heavy rotating string and Kerr/string correspondence
• Simulating cosmic string loop captured by a rotating black hole
• Fluid model of a black hole-string transition

Cited by in corpus (6)

• On the Origin of Species Thermodynamics and the Black Hole - Tower Correspondence
• String Theory in a Pinch: Resolving the Gregory-Laflamme Singularity
• Chaotic and Thermal Aspects in the Highly Excited String S-Matrix
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• Quantum Critical Collapse Abhors a Naked Singularity
• Transition between Schwarzschild black hole and string black hole