Extended Ernst equation and five-dimensional axisymmetric Kaluza-Klein solutions
Yi-Huan Wei; Yi-Huan Wei; Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China and Department of Physics, Jinzhou Teacher's College, Jinzhou, Liaoning 121000, People's Republic of China
Журнал:
Classical and Quantum Gravity
Дата:
2001-06-07
Аннотация:
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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