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Yang-Mills Inspired Solutions for General Relativity

General Relativity and Quantum Cosmology 2009-10-28 v1

Abstract

Several exact, cylindrically symmetric solutions to Einstein's vacuum equations are given. These solutions were found using the connection between Yang-Mills theory and general relativity. Taking known solutions of the Yang-Mills equations (e.g. the topological BPS monopole solutions) it is possible to construct exact solutions to the general relativistic field equations. Although the general relativistic solutions were found starting from known solutions of Yang-Mills theory they have different physical characteristics.

Keywords

Cite

@article{arxiv.gr-qc/9603031,
  title  = {Yang-Mills Inspired Solutions for General Relativity},
  author = {Douglas Singleton},
  journal= {arXiv preprint arXiv:gr-qc/9603031},
  year   = {2009}
}

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13 pages LaTeX