Electrovacuum cylindrical stationary solutions in general relativity

Abstract: This paper presents a systematical study of stationary (rotating) cylindrical space-times of a Weyl form that are solutions to D=4 Einstein-Maxwell equations with cosmological constant. The corresponding equations of motion - with zero cosmological constant - are integrated. Then, several classes of exact solutions - obtained by restricting the range of the free constant parameters - are obtained and sub-cases corresponding to already known solutions are indicated.