Black Holes, Moduli, and Long-Range Forces

Abstract

It is well known that an identical pair of extremal Reissner-Nordstrom black holes placed a large distance apart will exert no force on each other. In this paper, I establish that the same result holds in a very large class of two-derivative effective theories containing an arbitrary number of gauge fields and moduli, where the appropriate analog of an extremal Reissner-Nordstrom black hole is a charged, spherically symmetric black hole with vanishing surface gravity or vanishing horizon area. Analogous results hold for black branes.

arXiv comment57 pages, 4 figures. v2: matches published version

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• Quantum Corrections in 4d N=1 Infinite Distance Limits and the Weak Gravity Conjecture
• Sharpening the Distance Conjecture in Diverse Dimensions
• The Weak Gravity Conjecture and Axion Strings
• Repulsive Black Holes and Higher-Derivatives
• Proving the Weak Gravity Conjecture in Perturbative String Theory, Part I: The Bosonic String
• Mass And Force Relations For Einstein-Maxwell-Dilaton Black Holes
• Long-Range Forces Between Non-Identical Black Holes With Non-BPS Extremal Limits
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• The Weak Gravity Conjecture and BPS Particles
• $E_9$ symmetry in the Heterotic String on $S^1$ and the Weak Gravity Conjecture