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General Relativity is known to produce singularities in the potentialgenerated by a point source. Our universe can be modelled as a de Sitter (dS)metric and we show that ghost-free Infinite Derivative Gravity (IDG) produces anon-singular potential around a dS background, while returning to the GRprediction at large distances. We also show that although there are anapparently infinite number of coefficients in the theory, only a finite numberactually affect the predictions.  By writing the linearised equations of motion in a simplified form, we findthat at distances below the Hubble length scale, the difference between the IDGpotential around a flat background and around a de Sitter background isnegligible.

Revealing Infinite Derivative Gravity's true potential: The weak-field limit around de Sitter backgrounds