Infinite number of soliton solutions to 5-dimensional vacuum Einstein equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages

Scientific paper

10.1143/PTP.114.793

We give an infinite number of exact solutions to the 5-dimensional static
Einstein equation with axial symmetry by using the inverse scattering method.
The solutions are characterized by two integers representing the soliton
numbers. The first non trivial example of these solutions is the static black
ring solution found recently.

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