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Nonlinear Lagrangian theories of gravity

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Abstract

Gravitational theories derived from an action principle where the Lagrange density is a power of the curvature scalerR n are investigated. For all values ofn the theories have the correct Newtonian limit and forn = 1 the same weak field solution, which predicts a bending of light of three-quarters of the value predicted by general relativity (n=1).

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References

  1. Hilbert, D. (1915).Math Phys. 395.

  2. Einstein, A. (1915).Preuss Akad. Wiss. Berlin Sitz 799.

  3. Weyl, H. (1922).Space, Time, Matter (Methuen, London).

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Authors and Affiliations

  1. Queen Mary College, University of London, England

    Ian W. Roxburgh

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  1. Ian W. Roxburgh
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Roxburgh, I.W. Nonlinear Lagrangian theories of gravity. Gen Relat Gravit 8, 219–225 (1977). https://doi.org/10.1007/BF00763548

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  • DOI: https://doi.org/10.1007/BF00763548

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