An embedding for general relativity and its implications for new physics

@article{Mashhoon2007AnEF,
  title={An embedding for general relativity and its implications for new physics},
  author={Bahram Mashhoon and Paul S. Wesson},
  journal={General Relativity and Gravitation},
  year={2007},
  volume={39},
  pages={1403-1412}
}
We show that any solution of the 4D Einstein equations of general relativity in vacuum with a cosmological constant may be embedded in a solution of the 5D Ricci-flat equations with an effective 4D cosmological “constant” Λ that is a specific function of the extra coordinate. For unified theories of the forces in higher dimensions, this has major physical implications. 

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