Fuzzball geometries and higher derivative corrections for extremal holes

Abstract

2-charge D1-D5 microstates are described by geometries which end in `caps' near r=0; these caps reflect infalling quanta back in finite time. We estimate the travel time for 3-charge geometries in 4-D, and find agreement with the dual CFT. This agreement supports a picture of `caps' for 3-charge geometries. We argue that higher derivative corrections to such geometries arise from string winding modes. We then observe that the `capped' geometries have no noncontractible circles, so these corrections remain bounded everywhere and cannot create a horizon or singularity.

arXiv comment33 pages, 1 figure, LaTeX; Added references

References in corpus (43)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Towards the large N limit of pure N=1 super Yang Mills
• D-brane Approach to Black Hole Quantum Mechanics
• Black Hole Attractors and the Topological String
• AdS/CFT duality and the black hole information paradox
• A comparison of Noether charge and Euclidean methods for Computing the Entropy of Stationary Black Holes
• EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• Exact Counting of Black Hole Microstates
• Statistical interpretation of Bekenstein entropy for systems with a stretched horizon
• Supertubes
• Black Hole Solutions in Heterotic String Theory on a Torus
• Metric of the multiply wound rotating string
• R^4 Couplings in M and Type II Theories
• Dual geometries for a set of 3-charge microstates
• On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
• Intersecting M-branes as Four-Dimensional Black Holes
• Supergravity Supertubes
• D-instantons, Strings and M-theory
• 3-charge geometries and their CFT duals
• Entropy of 4D Extremal Black Holes
• Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
• Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
• Adding momentum to D1-D5 system
• De-singularization by rotation
• How Does a Fundamental String Stretch its Horizon?
• Constructing "hair" for the three charge hole
• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• Some Speculations about Black Hole Entropy in String Theory
• Three Charge Supertubes and Black Hole Hair
• Fivebrane Instantons and $R^2$ couplings in $N=4$ String Theory
• R^2 Corrections and Non-perturbative Dualities of N=4 String ground states
• Splitting hairs of the three charge black hole
• Stationary BPS Solutions in N=2 Supergravity with R^2-Interactions
• Counting Supertubes
• On the exact quartic effective action for the type IIB superstring
• One Ring to Rule Them All ... and in the Darkness Bind Them?
• Comments on the IIA NS5-brane
• A Geometric Look on the Microstates of Supertubes
• Chiral splitting and world-sheet gravitinos in higher-derivative string amplitudes
• Phase Moduli Space of Supertubes
• Over-Rotating Black Holes, Godel Holography and the Hypertube

Cited by in corpus (22)

• The information paradox: A pedagogical introduction
• Black Holes as Effective Geometries
• Massless black holes and black rings as effective geometries of the D1-D5 system
• The Speed of Gravity
• Microstates of the D1-D5-KK System
• Two Charge System Revisited: Small Black Holes or Horizonless Solutions?
• Causality Constrains Higher Curvature Corrections to Gravity
• On the Microscopic Perspective of Black Branes Thermodynamic Geometry
• What the information paradox is {\it not}
• Semiclassical black holes expose forbidden charges and censor divergent densities
• Non-supersymmetric Microstates of the MSW System
• The fuzzball nature of two-charge black hole microstates
• Type II and heterotic one loop string effective actions in four dimensions
• Spontaneous Radiation of Black Holes
• Schwarzschild Fuzzball and Explicitly Unitary Hawking Radiations
• Higher-derivative corrections to small black rings
• Coarse-graining of bubbling geometries and the fuzzball conjecture
• Unwinding of strings thrown into a fuzzball
• Microscopic State of BHs and an Exact One Body Method for Binary Dynamics in General Relativity
• $D=10$ dyonic black holes in string inspired models
• Domain Walls in AdS-Einstein-scalar Gravity
• Higher derivative correction to Kaluza-Klein black hole solution