New Rotating Black Hole in Electromagnetic Fields: Cosmological Horizon without Cosmological Constant

We obtain a new electrovacuum and related background spacetime that contains a cosmological horizon supported entirely by the electromagnetic field. The local solution belongs to the Kundt class of type D, but is globally distinct. We further construct an exact solution describing a Kerr black hole in this background. We study the global structure including horizons and singularities, and derive the first law of black hole thermodynamics. The emergence of a cosmological horizon in Einstein-Maxwell gravity without invoking a positive cosmological constant or dark energy is tantalizing, and may provide a new avenue for exploring cosmological and astrophysical phenomena related to black holes and the late-time cosmology.