We use Born’s method for generating electric fields, traditionally applied to systems of oppositely charged accelerating particles in the context of black holes within ModMax theory. This method provides an exciting manner to construct a ModMax electromagnetic universe. In addition, the extension in the presence of a non-trivial cosmological constant is directly achieved. The immutability of the gauge field supporting the electromagnetic universe configuration in an electro-vacuum scenario, when upgrading this background to a static black hole case, provides us with an educated guess to successfully embed both Schwarzschild and accelerating black holes into the ModMax electromagnetic universe.
