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Charged noncommutative wormhole solutions in f(T) gravity

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Abstract

In this paper, we study charged wormhole solutions in f(T) gravity with non-commutative background. We develop field equations using effective energy-momentum tensor for diagonal as well as non-diagonal tetrad in order to compare with general relativity. A point charge is considered with spherical distribution which develops electrostatic field. The matter content of wormhole geometry for diagonal tetrad leads to teleparallel gravity while for non-diagonal tetrad, we explore solutions by assuming a viable power-law f(T) model. We conclude that only exotic matter forms wormhole solution by violating energy conditions in the teleparallel case but physically acceptable solution is obtained for charged noncommutative wormhole solutions in f(T) gravity.

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References

  1. L. Flamm, Phys. Z. 17, 448 (1916).

    MATH  Google Scholar 

  2. A. Einstein, N. Rosen, Phys. Rev. 48, 73 (1935).

    Article  ADS  Google Scholar 

  3. M.S. Morris, K.S. Thorne, Am. J. Phys. 56, 395 (1988).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  4. G.R. Bengochea, R. Ferraro, Phys. Rev. D 79, 124019 (2009).

    Article  ADS  Google Scholar 

  5. E.V. Linder, Phys. Rev. D 81, 127301 (2010).

    Article  ADS  Google Scholar 

  6. M. Jamil, D. Momeni, R. Myrzakulov, Eur. Phys. J. C 72, 1959 (2012).

    Article  ADS  Google Scholar 

  7. M. Jamil, D. Momeni, R. Myrzakulov, Eur. Phys. J. C 72, 2137 (2012).

    Article  ADS  Google Scholar 

  8. F.S.N. Lobo, M.A. Oliveira, Phys. Rev. D 80, 104012 (2009).

    Article  MathSciNet  ADS  Google Scholar 

  9. A. DeBenedictis, D. Horvat, Gen. Relativ. Gravit. 44, 2711 (2012).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  10. N.M. Garcia, F.S.N. Lobo, Mod. Phys. Lett. A 40, 3067 (2011).

    Article  ADS  Google Scholar 

  11. C.G. Böhmer, T. Harko, F.S.N. Lobo, Phys. Rev. D 85, 044033 (2012).

    Article  ADS  Google Scholar 

  12. M. Jamil, D. Momeni, R. Myrzakulov, Eur. Phys. J. C 73, 2267 (2013).

    Article  ADS  Google Scholar 

  13. M. Sharif, S. Rani, Gen. Relativ. Gravit. 45, 2389 (2013).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  14. S-W. Kim, H. Lee, Phys. Rev. D 63, 064014 (2001).

    Article  MathSciNet  ADS  Google Scholar 

  15. F. Rahaman, S. Islam, P.K.F. Kuhfittig, S. Ray, Phys. Rev. D 86, 106010 (2012).

    Article  ADS  Google Scholar 

  16. M. Jamil et al., J. Kor. Phys. Soc. 65, 917 (2014).

    Article  Google Scholar 

  17. F. Rahaman et al., Int. J. Theor. Phys. 53, 1910 (2014).

    Article  MathSciNet  MATH  Google Scholar 

  18. M. Jamil, M.U. Farooq, M.A. Rashid, Eur. Phys. J. C 59, 907 (2009).

    Article  ADS  Google Scholar 

  19. M. Jamil, M.U. Farooq, Int. J. Theor. Phys. 49, 835 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  20. M. Jamil, P.K.F. Kuhfittig, F. Rahaman, Sk.A. Rakib, Eur. Phys. J. C 67, 513 (2010).

    Article  ADS  Google Scholar 

  21. M. Sharif, S. Rani, Phys. Rev. D 88, 123501 (2013).

    Article  ADS  Google Scholar 

  22. S. Carroll, Spacetime and Geometry: An Introduction to General Relativity (Addison Wesley, 2004).

  23. M.E. Rodrigues et al., JCAP 11, 024 (2013).

    Article  ADS  Google Scholar 

  24. B. Li, T.P. Sotiriou, J.D. Barrow, Phys. Rev. D 83, 104017 (2011).

    Article  ADS  Google Scholar 

  25. A. Aghamohammadi, K. Saaidi, M.R. Abolhasani, A. Vajdi, Int. J. Theor. Phys. 49, 709 (2010).

    Article  Google Scholar 

  26. P. Nicolini, A. Smailagic, E. Spalluci, Phys. Lett. B 632, 547 (2006).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  27. S. Capozziello, V.F. Cardone, H. Farajollahi, A. Ravanpak, Phys. Rev. D 84, 043527 (2011).

    Article  ADS  Google Scholar 

  28. J. Yang, Y.-L. Li, Y. Zhong, Y. Li, Phys. Rev. D 85, 084033 (2012).

    Article  ADS  Google Scholar 

  29. C.G. Böhmer, A. Mussa, N. Tamanini, Class. Quantum Grav. 28, 245020 (2011).

    Article  ADS  Google Scholar 

  30. K. Bamba, R. Myrzakulov, S. Nojiri, S.D. Odintsov, Phys. Rev. D 85, 104036 (2012).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan

    M. Sharif & Shamaila Rani

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  1. M. Sharif
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  2. Shamaila Rani
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Correspondence to M. Sharif.

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Sharif, M., Rani, S. Charged noncommutative wormhole solutions in f(T) gravity. Eur. Phys. J. Plus 129, 237 (2014). https://doi.org/10.1140/epjp/i2014-14237-5

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  • DOI: https://doi.org/10.1140/epjp/i2014-14237-5

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