Covariant formulation of BPS black holes and the scalar weak gravity conjecture
Gianguido Dall’Agata, Matteo Morittu
Abstract
A bstract In this note we analyze the BPS black hole equations in extended supergravities and we find two interesting relations involving first and second derivatives of combinations of the central charges. One relation is a new identity that solely relies on the geometric properties of the scalar manifolds of extended supergravity theories. The other relation is a generalization of a scalar weak gravity conjecture relation conjectured by Palti and uses properties of the underlying black hole solution. We also provide for the first time an explicit covariant construction of the BPS squared action for such solutions.
Topics & Concepts
Covariant transformationPhysicsSupergravityScalar (mathematics)ConjectureMathematical physicsGeneralizationBlack hole (networking)GravitationTheoretical physicsSupersymmetryClassical mechanicsPure mathematicsMathematical analysisMathematicsGeometryRouting (electronic design automation)Computer scienceRouting protocolLink-state routing protocolComputer networkBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories