Thermodynamics of 4D dilatonic black holes and the weak gravity conjecture
Gregory J. Loges, Toshifumi Noumi, Gary Shiu
Abstract
Taking a thermodynamic perspective, we study the weak gravity conjecture in the context of four-dimensional Einstein-Maxwell-dilaton theory. We find closed-form expressions for the corrected thermodynamic quantities in the presence of four-derivative terms in the action, and in particular the charge-to-mass ratio and entropy, for several families of solutions of special magnetic-to-electric charge ratio or dilaton coupling constant. Assuming that dyonic black holes themselves are the conjectured charged states, this places constraints on the Wilson coefficients of the theory which we show are satisfied for several generic UV completions.
Topics & Concepts
DilatonPhysicsConjectureEntropy (arrow of time)Context (archaeology)Mathematical physicsCharged black holeCharge (physics)GravitationCosmological constantEinsteinTheoretical physicsBlack hole (networking)Classical mechanicsThermodynamicsQuantum mechanicsExtremal black holeMathematicsPure mathematicsBiologyComputer networkRouting (electronic design automation)Link-state routing protocolRouting protocolComputer sciencePaleontologyBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir Effect