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Static Spherically Symmetric Vacuum Solution to a f (R) Model of Gravity, Related to Scalar Field Constituents

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Abstract

The static spherically symmetric solution of the f(R) model of gravity which has been introduced in Payandeh et al. (Int. J. Theor. Phys. 52, 919–924, 2013), are obtained. The solutions are explicitly related to scalar fields, possessed by the original action.

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References

  1. Begeman, K.G., Broeils, A.H., Sanders, R.H.: Mon. Not. R. Astron. Soc. 249, 523 (1991)

    Article  ADS  Google Scholar 

  2. Einstein, A.: Science 84, 506 (1936)

    Article  ADS  Google Scholar 

  3. Zwicky, F.: Phys. Rev. 51, 290 (1937)

    Article  ADS  Google Scholar 

  4. Blandford, R.D., Narayan, R.: Annu. Rev. Astron. Astrophys. 30, 311 (1992)

    Article  ADS  Google Scholar 

  5. Riess, A.G., et al. (Supernova Search Team Collaboration): Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  6. Perlmutter, S., et al. (Supernova Cosmology Project Collaboration): Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  7. Sahni, V., Starobinsky, A.A.: Int. J. Mod. Phys. D 9, 373 (2000)

    ADS  Google Scholar 

  8. Carroll, S.M.: Living Rev. Relativ. 4, 1 (2001)

    ADS  Google Scholar 

  9. Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  10. Padmanabhan, T.: Phys. Rep. 380, 235 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  11. Sahni, V.: Lect. Notes Phys. 653, 141 (2004)

    ADS  Google Scholar 

  12. Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. Durrer, R., Maartens, R.: Gen. Relativ. Gravit. 40, 301 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Caldwell, R.R., Kamionkowski, M.: Annu. Rev. Nucl. Part. Sci. 59, 397 (2009)

    Article  ADS  Google Scholar 

  15. Amendola, L., Tsujikawa, S.: Dark Energy—Theory and Observations. Cambridge University Press, Cambridge (2010)

    Book  MATH  Google Scholar 

  16. Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. Capozziello, S., Carloni, S., Troisi, A.: Recent Res. Dev. Astron. Astrophys. 1, 625 (2003)

    Google Scholar 

  18. Capozziello, S., Cardone, V.F., Carloni, S., Troisi, A.: Int. J. Mod. Phys. D 12, 1969 (2003)

    Article  ADS  Google Scholar 

  19. Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004)

    Article  ADS  Google Scholar 

  20. Payandeh, F., Fathi, M.: Int. J. Theor. Phys. 52, 919–924 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  21. Payandeh, F., Fathi, M.: Int. J. Theor. Phys. 52, 4519–4523 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  22. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  23. Nojiri, S., Odintsov, S.D.: J. Phys. Conf. Ser. 66, 012005 (2007)

    Article  ADS  Google Scholar 

  24. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  25. Fujii, Y.: Phys. Rev. D 26, 2580 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  26. Ford, L.H.: Phys. Rev. D 35, 2339 (1987)

    Article  ADS  Google Scholar 

  27. Wetterich, C.: Nucl. Phys. B 302, 668 (1988)

    Article  ADS  Google Scholar 

  28. Ratra, B., Peebles, J.: Phys. Rev. D 37, 321 (1988)

    Article  Google Scholar 

  29. Chiba, T., Sugiyama, N., Nakamura, T.: Mon. Not. R. Astron. Soc. 289, L5 (1997)

    Article  ADS  Google Scholar 

  30. Ferreira, P.G., Joyce, M.: Phys. Rev. Lett. 79, 4740 (1997)

    Article  ADS  Google Scholar 

  31. Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 75, 086002 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  32. Zare Dehnavi, N., Fathi, M., Tavakoli, F.: Int. J. Theor. Phys. 52, 3886–3891 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  33. Payandeh, F., Ahadi, S., Fathi, M.: Int. J. Theor. Phys. 52, 3467–3473 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  34. Payandeh, F., Fathi, M.: Int. J. Theor. Phys. 52, 4562–4568 (2013)

    Article  MATH  MathSciNet  Google Scholar 

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Acknowledgments

This work has been derived from a research project entitled “Static spherically symmetric vacuum solution to new f(R) theory of gravity, related to scalar field constituents and investigating its kinematical properties”, and has been approved to be supported financially by Payame Noor University.

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Correspondence to Farrin Payandeh.

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Payandeh, F. Static Spherically Symmetric Vacuum Solution to a f (R) Model of Gravity, Related to Scalar Field Constituents. Int J Theor Phys 55, 202–206 (2016). https://doi.org/10.1007/s10773-015-2650-y

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  • DOI: https://doi.org/10.1007/s10773-015-2650-y

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