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An embedding for general relativity and its implications for new physics

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Abstract

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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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Missouri, Columbia, MO, 65211, USA

    Bahram Mashhoon

  2. Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Paul Wesson

Authors
  1. Bahram Mashhoon
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  2. Paul Wesson
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Corresponding author

Correspondence to Paul Wesson.

Additional information

Authors Bahram Mashhoon and Paul Wesson belong to The S.T.M. Consortium, http://astro.uwaterloo.ca/~wesson.

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Mashhoon, B., Wesson, P. An embedding for general relativity and its implications for new physics. Gen Relativ Gravit 39, 1403–1412 (2007). https://doi.org/10.1007/s10714-007-0445-z

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  • DOI: https://doi.org/10.1007/s10714-007-0445-z

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