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An oscillating Universe from the linearized R 2 theory of gravity


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.

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  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

  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 

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Correspondence to Christian Corda.

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Corda, C. An oscillating Universe from the linearized R 2 theory of gravity. Gen Relativ Gravit 40, 2201–2212 (2008).

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