Weak Gravity Conjecture in de Sitter Space‐Time
Résumé
We propose a generalisation of the Weak Gravity Conjecture in de Sitter space by studying charged black‐holes and comparing the gravitational and an abelian gauge forces. Using the same condition as in flat space, namely the absence of black‐hole remnants, one finds that for a given mass m there should be a state with a charge q bigger than a minimal value , depending on the mass and the de Sitter radius l, in Planck units. In the large radius flat space limit (large l), leading to the known result , while in the highly curved case (small l) qmin behaves as . We also discuss the example of the gauged R‐symmetry in supergravity.