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New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness

High Energy Physics - Theory 2009-11-11 v3 General Relativity and Quantum Cosmology

Abstract

New axisymmetric stationary solutions of the vacuum Einstein equations in five-dimensional asymptotically flat spacetimes are obtained by using solitonic solution-generating techniques. The new solutions are shown to be equivalent to the four-dimensional multi-solitonic solutions derived from particular class of four-dimensional Weyl solutions and to include different black rings from those obtained by Emparan and Reall.

Keywords

Cite

@article{arxiv.hep-th/0504018,
  title  = {New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness},
  author = {Takashi Mishima and Hideo Iguchi},
  journal= {arXiv preprint arXiv:hep-th/0504018},
  year   = {2009}
}

Comments

6 pages, 3 figures;typos corrected, presentations improved, references added;accepted version