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Abstract

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.

Notes on static cylindrical shells

“…Cylindrically symmetric spacetimes and their sources have belonged to useful models in classical relativity for many years. Although recently attention was paid primarily to dynamical situations in which gravitational waves are present (see, e.g., [1,2] and references therein) or to cylindrical fields motivated by string theories (e.g., [3]), unsolved questions persist even in the standard static cases.…”

Letter: A Cylindrically Symmetric Solution in Einstein-Maxwell-Dilaton Gravity

“…The defining equations (2.1) show that in this paper the g zz metric field component is constant, in contrast to [5,7], where the case with constant g tt component was studied.…”

“…Kanti and Vayonakis [3] have extended analysis of [2] on case with an electromagnetic field, and their found that the chronology is violated. Also results of others authors show that presence of the electromagnetic field may cause the chronology violation (especially purely magnetic filed parallel to the rotation axis) while a scalar field may again restore the chronology [4,5].…”