Electrovac Universes with a Cosmological Constant
We present the extension of the Einstein-Maxwell system called electrovac universes by introducing a cosmological constant $Λ$. In the absence of the $Λ$ term, the crucial equation in solving the Einstein-Maxwell system is the Laplace equation. The cosmological constant modifies this equation to become in a non-linear partial differential equation which takes the form $ΔU=2ΛU^3$. We offer special solutions of this equation.
gr-qc↗