General Relativity and Gravitation

, Volume 39, Issue 9, pp 1403–1412 | Cite as

An embedding for general relativity and its implications for new physics

Research Article
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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.

Keywords

Cosmological constant Weak Equivalence Principle Higher dimensions 
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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of MissouriColumbiaUSA
  2. 2.Department of Physics and AstronomyUniversity of WaterlooWaterlooCanada

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