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A cylindrically symmetric solution in Einstein-Maxwell-dilaton gravity

P. Klepac·J. Horsky
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Abstract

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.

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P. Klepac, J. Horsky. 2003-02-03. A cylindrically symmetric solution in Einstein-Maxwell-dilaton gravity. https://arxiv.org/abs/gr-qc/0202027

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