The aim of this paper is to examine some obtained exact solutions of the Einstein-Maxwell equations, in particular their properties from a chronological point of view. Each of our spacetimes is stationary and cylindrically symmetric and is filled with a perfect fluid that is electrically charged. There are two classes of solutions and examples of each are investigated. We give examples of the first class for both the vanishing and non-vanishing Lorentz force.

We give an example of a spacetime having an infinite thin rotating cylindrical shell constituted by a charged perfect fluid as a source. As the interior of the shell the Bonnor-Melvin universe is considered, while its exterior is represented by Datta-Raychaudhuri spacetime. We discuss the energy conditions and we show that our spacetime contains closed timelike curves. Trajectories of charged test particles both inside and outside the cylinder are also examined. Expression for the angular velocity of a circular motion inside the cylinder is given.

Charged perfect fluid with vanishing Lorentz force and massless scalar field is studied in the case of stationary cylindrically symmetric spacetime. The scalar field can depend both on radial and longitudinal coordinates. Solutions are found and classified according to scalar field gradient and magnetic field relationship. Their physical and geometrical properties are examined and discussion of particular cases, directly generalizing Gödel-type spacetimes, is presented.

We consider the existence of Einstein-Maxwell-dilaton plus fluid system for the case of stationary cylindrically symmetric spacetimes. An exact inhomogeneous ε-order solution is found, where the parameter ε parametrizes the non-minimally coupled electromagnetic field. Some its physical attributes are investigated and a connection with already known Gödel-type solution is given. It is shown that the found solution also survives in the string-inspired charged gravity framework. We find that a magnetic field has positive influence on the chronology violation unlike the dilaton influence.KEY WORDS: exact solutions, charged perfect fluid, scalar field 4 Suggested running head: Cylindrically symmetric solution in EMD gravity

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