Skip to main content
SpringerLink
Log in

A New Approach to Modifying Theories of Gravity

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

We propose a new point of view for interpreting Newton’s and Einstein’s theories of gravity. By taking inspiration from Continuum Mechanics and its treatment of anisotropies, we formulate new gravitational actions for modified theories of gravity. These models are simple and natural generalisations with many interesting properties. Above all, their precise form can, in principle, be determined experimentally.

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. Milgrom, M.: Astrophys. J. 270, 365 (1983)

    Article  ADS  Google Scholar 

  2. Milgrom, M.: Astrophys. J. 270, 371 (1983)

    Article  ADS  Google Scholar 

  3. Goenner, H.F.M.: Living Rev. Rel. 7, 2 (2004)

    MathSciNet  Google Scholar 

  4. Hehl, F.W., Obukhov, Y.N.: Foundations of Classical Electrodynamics. Birkhäuser, Boston (2003)

    Book  MATH  Google Scholar 

  5. Klein, F.: Nachrichten der Kgl. Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse (1917) Vorgelegt in der Sitzung, vol. 25, Januar 1918. In: Fricke, R., Ostrowski, A. (eds.) Felix Klein Gesammelte Mathematische Abhandlungen, Erster Band. Springer, Berlin (1921)

    Chapter  Google Scholar 

  6. Battye, R.A., Pearson, J.A.: Massive gravity, the elasticity of space-time and perturbations in the dark sector. arXiv:1301.5042 [astro-ph.CO]

  7. Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Green, A.E., Zerna, W.: Theoretical Elasticity. Oxford University Press, London (1963)

    Google Scholar 

  9. Dirac, P.A.M.: Proc. Roy. Soc. Lond. A 165, 199 (1938)

    Article  ADS  Google Scholar 

  10. Barrow, J.D., Parsons, P.: Phys. Rev. D 55, 1906 (1997). arXiv:gr-qc/9607072

    Article  ADS  Google Scholar 

  11. Uzan, J.-P.: Living Rev. Rel. 14, 2 (2011). arXiv:1009.5514 [astro-ph.CO]

    Google Scholar 

Download references

Acknowledgements

We thank Friedrich Hehl and Dmitri Vassiliev for useful discussions. We would also like to thank the anonymous referees who have given us very valuable feedback.

Author information

Authors and Affiliations

  1. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK

    Christian G. Böhmer & Nicola Tamanini

Authors
  1. Christian G. Böhmer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nicola Tamanini
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Christian G. Böhmer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Böhmer, C.G., Tamanini, N. A New Approach to Modifying Theories of Gravity. Found Phys 43, 1478–1488 (2013). https://doi.org/10.1007/s10701-013-9756-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10701-013-9756-y

Keywords

Search

Navigation