Skip to main content
SpringerLink
Log in

Lagrangian formulation of a geometrical scalar-tensor theory of gravitation

  • Research Articles
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

The author's geometrical theory of the scalar-tensor gravitational field is extended by formulating it in terms of a Lagrangian. An exact solution of the coupled nonlinear field equations for a static point mass is also presented. This theory which is conformally equivalent to the empty spaceEinstein equations predicts the same results for experiments as the usual theory of Brans and Dicke which has a non-zero energy momentum tensor.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ross, D.K. (1972).Phys. Rev.,D5, 284.

    Google Scholar 

  2. Weyl, H. (1918).Sitzber. Preuss. Akad. Wiss. Berlin, 465; (1919).Ann. Phys., (Leipzig),56, 101; (1950).Space, Time, Matter, (Dover, New York).

  3. Brans, C. and Dicke, R.H. (1961).Phys. Rev.,124, 925.

    Google Scholar 

  4. Harrison, E.R. (1972).Phys. Rev.,D6, 2077.

    Google Scholar 

  5. Sen, D.K. and Dunn, K.A. (1971).J. Math. Phys.,12, 578.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Ames Laboratory-USAEC, Iowa State University, 50010, Ames, Iowa

    D. K. Ross

Authors
  1. D. K. Ross
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ross, D.K. Lagrangian formulation of a geometrical scalar-tensor theory of gravitation. Gen Relat Gravit 6, 157–164 (1975). https://doi.org/10.1007/BF00769983

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00769983

Keywords

Search

Navigation