Abstract
We consider the existence of Einstein-Maxwell-dilaton plus fluid systems 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 the already known Gödel-type solution is given. It is shown that our 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.
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Klepáč, P., Horský, J. Letter: A Cylindrically Symmetric Solution in Einstein-Maxwell-Dilaton Gravity. General Relativity and Gravitation 34, 1979–1993 (2002). https://doi.org/10.1023/A:1020740813812
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DOI: https://doi.org/10.1023/A:1020740813812