Generalizing weak gravity conjecture

Abstract

The weak gravity conjecture implies the necessary existence of particles with charge-to-mass ratio $q/m\ge 1$ so that the extremal charged black hole can completely evaporate without leaving a dangerous stable extremal remnant while simultaneously not revealing a naked singularity along the way. In other words, this inequality ensures that the charge is emitted faster than the mass of a black hole, which is in turn coincidentally consistent with the fact that gravitational interaction for such parties is weaker than electromagnetic. To extend this argument to non-extremal black holes, we solve the problem of a charged shell of mass and charge ($m,q$) from a black hole with ($M,Q$). We find a more general condition $q/m\ge Q/M$, which obviously reduces to the weak gravity conjecture in the extremal limit, however it relaxes the condition for complete evaporation of non-extremal black holes. This condition also allows us to directly relate the particle content of the theory with the spectrum of black hole states.

References in corpus (12)

• The String Landscape, Black Holes and Gravity as the Weakest Force
• A Covariant Entropy Conjecture
• Naturalness and the Weak Gravity Conjecture
• Higher-order corrections to mass-charge relation of extremal black holes
• Weak Gravity Conjecture from Unitarity and Causality
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
• A Universal Relation Between Corrections to Entropy and Extremality
• Entropy Bounds on Effective Field Theory from Rotating Dyonic Black Holes
• Constraints on dark matter particles charged under a hidden gauge group from primordial black holes
• Pre-Hawking radiation may allow for reconstruction of the mass distribution of the collapsing object
• A Weak Gravity Theorem

Cited by in corpus (3)

• Assessing WGC Compatibility in ModMax Black Holes via Photon Spheres Analysis and WCCC Validation
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Quantum gravitational corrections to Reissner-Nordström black hole thermodynamics and their implications for the weak gravity conjecture