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Analytical Solution of a Wave Equation in Cosmology

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Abstract

In this paper we derive a wave equation based on a cosmological model of the universe expansion in the four-dimensional space-velocity. An analytical solution of this equation is obtained using Nikiforov-Uvarov mathematical method. In this procedure we use the solutions of the Einstein gravitational field equations for the perfect fluid energy-momentum tensor.

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References

  1. Kramer, D., Stephani, H., Herlt, E., MacCallum, M.A.H., Schmutzer, E.: Exact Solutions of Einstein’s Field Equations. Cambridge University Press, Cambridge (1980)

    MATH  Google Scholar 

  2. Krasinski, A.: Gen. Relativ. Gravit. 25, 165 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. Krasinski, A.: Gen. Relativ. Gravit. 33, 145 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  4. Delgaty, M., Lake, K.: Comput. Phys. Commun. 115, 395 (1998)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. Carmeli, M.: Cosmological Special Relativity, 2nd edn. World Scientific, Singapore (2002)

    Book  MATH  Google Scholar 

  6. Setare, M.R., Haidari, S.: Phys. Scr. 81, 015201 (2010)

    Article  ADS  Google Scholar 

  7. Setare, M.R., Haidari, S.: Int. J. Theor. Phys. 48, 3249 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  8. Motavali, H., Rezaei Akbarieh, A.: Int. J. Theor. Phys. 49, 979 (2010)

    Article  Google Scholar 

  9. Motavali, H.: Mod. Phys. Lett. A 24, 1227 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  10. Setare, M.R., Hatami, O.: Int. J. Theor. Phys. 48, 2164 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  11. Setare, M.R., Hatami, O.: Int. J. Theor. Phys. 48, 2977 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  12. Motavali, H., Rostami, A.: Prog. Electromagn. Res. 1, 131 (2008)

    Article  Google Scholar 

  13. Motavali, H., Rostami, A.: J. Electromagn. Waves Appl. 22, 681 (2008)

    Article  Google Scholar 

  14. Rezaei Akbarieh, A., Motavali, H.: Mod. Phys. Lett. A 23, 3005 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  15. Rostami, A., Motavali, H.: Prog. Electromagn. Res. 4, 171 (2008)

    Article  Google Scholar 

  16. Nikiforov, A.F., Uvarov, V.B.: Special Functions of Mathematical Physics. Birkhäuser, Basel (1988)

    MATH  Google Scholar 

  17. Behar, S., Carmeli, M.: Int. J. Theor. Phys. 39, 1375 (2000)

    Article  MATH  MathSciNet  Google Scholar 

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Correspondence to Hossein Motavalli.

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Motavalli, H., Rezaei Akbarieh, A. & Parhizkar, M. Analytical Solution of a Wave Equation in Cosmology. Int J Theor Phys 50, 2328–2333 (2011). https://doi.org/10.1007/s10773-011-0715-0

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  • DOI: https://doi.org/10.1007/s10773-011-0715-0

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