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.

48 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 (12)

• Instabilities of Black Strings and Branes
• Microstates of a Neutral Black Hole in M Theory
• Dynamics and Stability of Black Rings
• The Black Ring is Unstable
• Counting the Microstates of a Kerr Black Hole
• Bumpy black holes
• String Stars in Anti de Sitter Space
• Energy extraction from Kerr black holes by rigidly rotating strings
• Fundamental Plasmid Strings and Black Rings
• On Semiclassical Limits of String States
• 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