Gyrating Strings: A new instability of black strings?

Abstract

A thermodynamic argument is presented suggesting that near-extremal spinning D1-D5-P black strings become unstable when their angular momentum exceeds $J_{crit}=3Q_1{Q}_5/2\sqrt{2}$. In contrast, the dimensionally reduced black holes are thermodynamically stable. The proposed instability involves a phase in which the spin angular momentum above $J_{crit}$ is transferred to gyration of the string in space; i.e., to orbital angular momentum of parts of the string about the mean location in space. Thus the string becomes a rotating helical coil. We note that an instability of this form would yield a counter-example to the Gubser-Mitra conjecture, which proposes a particular link between dynamic black string instabilities and the thermodynamics of black strings. There may also be other instabilities associated with radiation modes of various fields. Our arguments also apply to the D-brane bound states associated with these black strings in weakly coupled string theory.

6 pages, revtex4, zero of Hessian noted, references added

References in corpus (30)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Strings and p-Branes are Unstable
• A rotating black ring in five dimensions
• D--branes and Spinning Black Holes
• The black hole bomb and superradiant instabilities
• General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
• The Instability of Charged Black Strings and p-Branes
• Solitonic Strings and BPS Saturated Dyonic Black Holes
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Small Kerr-anti-de Sitter black holes are unstable
• Entropy of Non-Extreme Charged Rotating Black Holes in String Theory
• Black Holes in String Theory
• Fate of the Black String Instability
• Classical and Thermodynamic Stability of Black Branes
• Macroscopic and Microscopic Entropy of Near-Extremal Spinning Black Holes
• Strings as Solitons & Black Holes as Strings
• Instability of charged black holes in anti-de Sitter space
• A critical dimension in the black-string phase transition
• Near Horizon Geometry of Rotating Black Holes in Five Dimensions
• Topology change in General Relativity and the black-hole black-string transition
• Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness
• Extremal Black Holes As Fundamental Strings
• Towards the Final Fate of an Unstable Black String
• Tachyons, Supertubes and Brane/Anti-Brane Systems
• Splitting hairs of the three charge black hole
• Counting States of Black Strings with Traveling Waves
• Classical Hair in String Theory I: General Formulation
• Smeared branes and the Gubser-Mitra conjecture
• Counting States of Black Strings with Traveling Waves II
• Self-adjoint wave equations for dynamical perturbations of self-gravitating fields

Cited by in corpus (25)

• Mimicking the QCD equation of state with a dual black hole
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Superradiant instabilities of rotating black branes and strings
• Instabilities of Black Strings and Branes
• Stability and Critical Phenomena of Black Holes and Black Rings
• Instability of non-supersymmetric smooth geometries
• Superradiant instability of large radius doubly spinning black rings
• Counter-examples to the correlated stability conjecture
• Spinning Strings as Small Black Rings
• Scalar perturbations of higher dimensional rotating and ultra-spinning black holes
• Precision Microstate Counting of Small Black Rings
• Smeared branes and the Gubser-Mitra conjecture
• Rotating nonuniform black string solutions
• Stability of BTZ black strings
• The Gregory-Laflamme instability for the D2-D0 bound state
• Correlated stability conjecture revisited
• A black hole instability in five dimensions?
• Perturbations and absorption cross-section of infinite-radius black rings
• Gregory-Laflamme and Superradiance encounter Black Resonator Strings
• Gregory-Laflamme encounters Superradiance
• Superradiance and black resonator strings encounter helical black strings
• Negative modes of Schwarzschild black hole in Einstein-Gauss-Bonnet Theory
• Analytic evidence for the Gubser-Mitra conjecture
• Negative mode of Schwarzschild black hole from the thermodynamic instability