Weak Gravity Conjecture in de Sitter Space‐Time

Antoniadis, Ignatios; Benakli, Karim (2020). Weak Gravity Conjecture in de Sitter Space‐Time. Fortschritte der Physik / Progress of physics, 68(9), p. 2000054. Wiley-VCH 10.1002/prop.202000054

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We propose a generalisation of the Weak Gravity Conjecture in de Sitter spaceby studying charged black-holes and comparing the gravitational and anabelian gauge forces. Using the same condition as in flat space, namely theabsence of black-hole remnants, one finds that for a given mass m thereshould be a state with a charge q bigger than a minimal value qmin(m, l),depending on the mass and the de Sitter radius l , in Planck units. In the largeradius flat space limit (large l), qmin->m leading to the known result q > m / ..2, while in the highly curved case (small l) qmin behaves as ..ml.Wealso discuss the example of the gauged R-symmetry in N = 1 supergravity.

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