Stationary axisymmetric solutions of five-dimensional gravity

@inproceedings{Giusto2007StationaryAS,
  title={Stationary axisymmetric solutions of five-dimensional gravity},
  author={Stefano Giusto and Ashish Saxena},
  year={2007}
}
We consider stationary axisymmetric solutions of general relativity that asymptote to five dimensional Minkowski space. It is known that this system has a hidden SL(3,R) symmetry. We identify an SO(2,1) subgroup of this symmetry group that preserves the asymptotic boundary conditions. We show that the action of this subgroup on a static solution generates a one-parameter family of stationary solutions carrying angular momentum. We conjecture that by repeated applications of this procedure one… CONTINUE READING

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