Skip to main content
SpringerLink
Log in

An oscillating Universe from the linearized R 2 theory of gravity

General Relativity and Gravitation volume 40, pages 2201–2212 (2008)Cite this article

Abstract

An oscillating Universe which arises from the linearized R 2 theory of gravity is discussed, showing that some observative evidences like the cosmological redshift and the Hubble law are in agreement with the model. In this context Dark Energy is seen like a pure curvature effect arising by the Ricci scalar.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

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

References

  1. Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 8559 (2003)

    Article  MathSciNet  Google Scholar 

  2. Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)

    Article  ADS  Google Scholar 

  3. Alemanni, G., Francaviglia, M., Ruggiero, M.L., Tartaglia, A.: Gen. Rev. Grav. 37, 11 (2005)

    Google Scholar 

  4. Alemanni, G., Capone, M., Capozziello, S., Francaviglia, M.: Gen. Rev. Grav. 38, 1 (2006)

    Article  Google Scholar 

  5. Capozziello, S., Cardone, V.F., Troisi, A.: J. Cosmol. Astropart. Phys. 08, 001 (2006)

    Article  ADS  Google Scholar 

  6. Capozziello, S.: Newtonian Limit of Extended Theories of Gravity. In: Reimer, A. (ed.) Quantum Gravity Research Trends, pp. 227–276. Nova Science Publishers Inc., NY (2005). also in arXiv:gr-qc/0412088 (2004)

  7. Capozziello, S., Troisi, A.: Phys. Rev. D 72, 044022 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  8. Will, C.M.: Theory and Experiments in Gravitational Physics. Cambridge University Press, Cambridge (1993)

    Google Scholar 

  9. Capozziello, S., Cardone, V.F., Troisi, A.: Phys. Rev. D 71, 043503 (2005)

    Article  ADS  Google Scholar 

  10. Corda, C.: Astropart. Phys. 27(6), 539–549 (2007)

    Article  ADS  Google Scholar 

  11. Acernese, F., et al., (the Virgo Collaboration).: Class. Quant. Grav. 23(19), S635–S642 (2006)

    Google Scholar 

  12. Hild, S., (for the LIGO Scientific Collaboration).: Class. Quant. Grav. 23(19), S643–S651 (2006)

    Google Scholar 

  13. Willke, B. et al.: Class. Quant. Grav. 23(8), S207–S214 (2006)

    Article  ADS  Google Scholar 

  14. Tatsumi, D., Tsunesada, Y., the TAMA Collaboration.: Class. Quant. Grav. 21(5), S451–S456 (2004)

  15. Capozziello, S., Corda, C.: Int. J. Mod. Phys. D 15, 1119–1150 (2006)

    Article  MATH  ADS  Google Scholar 

  16. Corda, C.: Response of laser interferometers to scalar gravitational waves. In: Gravitational Waves Data Analysis Workshop in the General Relativity Trimester of the Institut Henri Poincare, Paris, 13–17 November 2006. on the web in http://www.luth2.obspm.fr/IHP06/workshops/gwdata/corda.pdf

  17. Corda, C.: J. Cosmol. Astropart. Phys. 04, 009 (2007)

    Article  ADS  Google Scholar 

  18. Tobar, M.E., Suzuki, T., Kuroda, K.: Phys. Rev. D 59, 102002 (1999)

    Article  ADS  Google Scholar 

  19. Maggiore, M., Nicolis, A.: Phys. Rev. D 62, 024004 (2000)

    Article  ADS  Google Scholar 

  20. Landau, L., Lifsits, E.: Teoria dei campi. Editori Riuniti edition III (1999)

  21. Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. W.H.Feeman and Company, New York (1973)

    Google Scholar 

  22. Peebles, P.J.E.: Large Scale Structure of the Universe. Princeton University Press, Princeton (1980)

    Google Scholar 

  23. Peebles, P.J.E.: Principles of Physical Cosmology. Princeton University Press, Princeton (1993)

    Google Scholar 

  24. Capozziello, S., Funaro, M.: Introduzione alla Relatività Generale. Liguori Editori, Napoli (2005)

    Google Scholar 

  25. Bennet, C.L. et al.: ApJS 148, 1 (2003)

    Article  ADS  Google Scholar 

  26. Spergel, D.N. et al.: ApJS 148, 195 (2003)

    Article  ADS  Google Scholar 

  27. Allemandi, G., Borowiec, A., Francaviglia, M., Odintsov, S.D.: Phys. Rev. D 72, 063505 (2005)

    Article  ADS  Google Scholar 

  28. Inagaki, T., Nojiri, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 0506, 010 (2005)

    Article  ADS  Google Scholar 

  29. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 599, 137 (2004)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica, Università di Pisa, Largo Pontecorvo 3, 56127, Pisa, Italy

    Christian Corda

  2. Associazione di Cultura Scientifica Galileo Galilei, Via Pier Cironi 16, 59100, Prato, Italy

    Christian Corda

Authors
  1. Christian Corda
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Christian Corda.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Corda, C. An oscillating Universe from the linearized R 2 theory of gravity. Gen Relativ Gravit 40, 2201–2212 (2008). https://doi.org/10.1007/s10714-008-0627-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-008-0627-3

Keywords

search

Navigation