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) q_min behaves as . We also discuss the example of the gauged R‐symmetry in  supergravity.

中文翻译：

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Sitter时空中的弱引力猜想

通过研究带电黑洞并比较重力和阿贝尔规范力，我们提出了de Sitter空间中的弱重力猜想的推广。使用与在平坦空间中相同的条件，即没有黑洞残留物，人们发现对于给定质量m，应存在一个电荷q大于最小值的状态，具体取决于质量和de Sitter半径l，以普朗克为单位。在大半径平面空间极限（大l）中，得出已知结果，而在高度弯曲的情况下（小l），q _min表现为。我们还讨论了规范R对称的示例 超重力。