String-Corrected Black Holes

Abstract

We investigate the geometry of four dimensional black hole solutions in the presence of stringy higher curvature corrections to the low energy effective action. For certain supersymmetric two charge black holes these corrections drastically alter the causal structure of the solution, converting seemingly pathological null singularities into timelike singularities hidden behind a finite area horizon. We establish, analytically and numerically, that the string-corrected two-charge black hole metric has the same Penrose diagram as the extremal four-charge black hole. The higher derivative terms lead to another dramatic effect -- the gravitational force exerted by a black hole on an inertial observer is no longer purely attractive! The magnitude of this effect is related to the size of the compactification manifold.

22 pages, 6 figures, harvmac, epsf

References in corpus (2)

• Black Hole Attractors and the Topological String
• A Stringy Cloak for a Classical Singularity

Cited by in corpus (35)

• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Rotating Attractors
• Precision Counting of Small Black Holes
• Entropy Function for Heterotic Black Holes
• The Library of Babel: On the origin of gravitational thermodynamics
• Black hole partition functions and duality
• Massless black holes and black rings as effective geometries of the D1-D5 system
• Exact and Asymptotic Degeneracies of Small Black Holes
• D1-D5 black hole microstate counting from supergravity
• Exploring the relation between 4D and 5D BPS solutions
• 5D Black Holes and Strings with Higher Derivatives
• Stretching the Horizon of a Higher Dimensional Small Black Hole
• Black Holes, Elementary Strings and Holomorphic Anomaly
• Regular Stringy Black Holes?
• Two Charge System Revisited: Small Black Holes or Horizonless Solutions?
• Wormholes and Spectral Statistics in the Narain Ensemble
• Black hole entropy functions and attractor equations
• ${\alpha }^{\prime }$-corrected black holes in String Theory
• Lovelock type gravity and small black holes in heterotic string theory
• Supersymmetric black holes
• Extremal single-charge small black holes: Entropy function analysis
• A Note on D1-D5-J System and 5D Small Black Ring
• Extremal black holes in D=5: SUSY vs. Gauss-Bonnet corrections
• Global solutions for higher-dimensional stretched small black holes
• Flow of Geometries and Instantons on the Null Orbifold
• Two-charge small black hole entropy: String-loops and multi-strings
• Small Black Holes and Near-Extremal CFTs
• Brane Inflation, Solitons and Cosmological Solutions: I
• Superconformal Quantum Mechanics of Small Black Holes
• On small black holes, KK monopoles and solitonic 5-branes
• Large Charge Four-Dimensional Extremal N=2 Black Holes with R^2-Terms
• Quadratic alpha' corrections to T-duality
• Higher Derivative Corrections, Dimensional Reduction and Ehlers Duality
• Large Charge Four-Dimensional Non-Extremal N=2 Black Holes with R^2-Terms
• Higher-derivative corrections to small black rings