Extended Ernst equation and five-dimensional axisymmetric Kaluza-Klein solutions

Physics

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Scientific paper

We discuss the five-dimensional axisymmetric metric with non-zero parameter η, the field equation is reduced to the Ernst equation with η and the Laplace equation. For η = 1, the corresponding solution describes the five-dimensional axisymmetric spacetime with an electrostatic field. We find that the TS solutions can be generalized to those with arbitrary non-zero η.

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