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Static spherical wormhole models in f (R, T) gravity

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Abstract.

This paper explores the possibility of the existence of wormhole geometries coupled with relativistic matter configurations by taking a particular model of \( f(R,T)\) gravity (where T is the trace of energy-momentum tensor). For this purpose, we take the static form of spherically symmetric spacetime and after assuming a specific form of matter and combinations of shape function, the validity of energy conditions is checked. We have discussed our results through graphical representation and studied the equilibrium background of wormhole models by taking an anisotropic fluid. The extra curvature quantities coming from \( f(R,T)\) gravity could be interpreted as a gravitational entity supporting these non-standard astrophysical wormhole models. We have shown that in the context of anisotropic fluid and \( R+\alpha R^2+\lambda T\) gravity, wormhole models could possibly exist in few zones in the space of parameters without the need for exotic matter.

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References

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

    Article  Google Scholar 

  2. Supernova Search Team Collaboration (A.G. Riess et al.), Astrophys. J. 116, 1009 (1998)

    Google Scholar 

  3. BICEP2 and Planck Collaborations (P.A.R. Ade et al.), Astrophys. J. 114, 101301 (2015)

    Google Scholar 

  4. BICEP2 and Keck Array Collaborations (P.A.R. Ade et al.), Astrophys. J. 116, 031302 (2016)

    Google Scholar 

  5. SDSS Collaboration (M. Tegmark et al.), Phys. Rev. D 69, 103501 (2004)

    Article  Google Scholar 

  6. SDSS Collaboration (U. Seljak et al.), Phys. Rev. D 71, 103515 (2005)

    Article  ADS  Google Scholar 

  7. SDSS Collaboration (D.J. Eisenstein et al.), Astrophys. J. 633, 560 (2005)

    Article  Google Scholar 

  8. B. Jain, A. Taylor, Phys. Rev. Lett. 91, 141302 (2003)

    Article  ADS  Google Scholar 

  9. S. Nojiri, S.D. Odintsov, eConf. C 0602061, 06 (2006) (Int. J. Geom. Methods Mod. Phys. 4

    Google Scholar 

  10. T.P. Sotirou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010)

    Article  ADS  Google Scholar 

  11. S. Nojiri, S.D. Odintsov, Phys. Rep. 505, 59 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  12. S. Capozziello, M.D. Laurentis, Phys. Rep. 509, 167 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  13. S. Capozziello, V. Faraoni, Beyond Einstein Gravity (Springer, Dordrecht, 2010)

  14. K. Bamba, S. Capozziello, S. Nojiri, S.D. Odintsov, Astrophys. Space Sci. 342, 155 (2012)

    Article  ADS  Google Scholar 

  15. A. de la Cruz-Dombriz, D. Sáez-Gómez, Entropy 14, 1717 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  16. A. Joyce, B. Jain, J. Khoury, M. Trodden, Phys. Rep. 568, 1 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  17. K. Koyama, arXiv:1504.04623 [astro-ph.CO]

  18. K. Bamba, S. Nojiri, S.D. Odintsov, arXiv:1302.4831 [gr-qc]

  19. K. Bamba, S.D. Odintsov, arXiv:1402.7114 [hep-th]

  20. K. Bamba, S.D. Odintsov, Symmetry 7, 220 (2015) arXiv:1503.00442 [hep-th]

    Article  MathSciNet  Google Scholar 

  21. M. Sharif, Z. Yousaf, Astrophys. Space Sci. 355, 317 (2015)

    Article  ADS  Google Scholar 

  22. Z. Yousaf, M.Z. Bhatti, U. Farwa, Mon. Not. R. Astron. Soc. 464, 4509 (2017)

    Article  ADS  Google Scholar 

  23. T. Harko et al., Phys. Rev. D 84, 024020 (2011)

    Article  ADS  Google Scholar 

  24. M.J.S. Houndjo et al., Int. J. Mod. Phys. D 21, 1250003 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  25. M. Sharif, Z. Yousaf, Astrophys. Space Sci. 354, 431 (2014)

    Article  ADS  Google Scholar 

  26. M. Sharif, Z. Yousaf, Astrophys. Space Sci. 357, 49 (2015)

    Article  ADS  Google Scholar 

  27. B. Mishra, S. Tarai, S.K. Tripathy, Adv. High Energy Phys. 2016, 8543560 (2016)

    Google Scholar 

  28. P.K. Sahoo, A. Nath, S.K. Sahu, Iran. J. Sci. Technol. Trans. Sci. (2017) DOI:10.1007/s40995-017-0214-0

  29. H. Shabani, A.H. Ziaie, Eur. Phys. J. C 77, 31 (2017) arXiv:1606.07959 [gr-qc]

    Article  ADS  Google Scholar 

  30. Ch.C. Moustakidis, Gen. Relativ. Gravit. 49, 68 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  31. Z. Yousaf, M.Z. Bhatti, A. Rafaqat, Int. J. Mod. Phys. D 26, 1750099 (2017)

    Article  ADS  Google Scholar 

  32. H.G. Ellis, J. Math. Phys. 14, 104 (1973)

    Article  ADS  Google Scholar 

  33. K.A. Bronnikov, Acta Phys. Pol. B 4, 251 (1973)

    Google Scholar 

  34. G. Clement, Gen. Relativ. Gravit. 13, 763 (1981)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  36. M. Visser, Lorentzian Wormholes: from Einstein to Hawking (AIP, New York, 1996)

  37. D. Hochberg, M. Visser, Phys. Rev. D 58, 044021 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  38. C. Barcelo, M. Visser, Phys. Lett. B 466, 127 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  39. C. Bambi, A. Cardenas-Avendano, G.J. Olmo, D. Rubiera-Garcia, Phys. Rev. D 93, 064016 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  40. S. Nojiri, O. Obregon, S.D. Odintsov, K.E. Osetrin, Phys. Lett. B 449, 173 (1999)

    Article  ADS  Google Scholar 

  41. S. Nojiri, O. Obregon, S.D. Odintsov, K.E. Osetrin, Phys. Lett. B 458, 19 (1999)

    Article  ADS  Google Scholar 

  42. S.V. Sushkov, Phys. Lett. A 164, 33 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  43. R. Garattini, F.S.N. Lobo, Class. Quantum Grav. 24, 2401 (2007)

    Article  ADS  Google Scholar 

  44. L.A. Anchordoqui, S.E.P. Bergliaffa, Phys. Rev. D 62, 067502 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  45. K.A. Bronnikov, S.-W. Kim, Phys. Rev. D 67, 064027 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  46. E.F. Eiroa, G.F. Aguirre, Eur. Phys. J. C 72, 2240 (2012)

    Article  ADS  Google Scholar 

  47. E.F. Eiroa, C. Simeone, Phys. Rev. D 76, 024021 (2007)

    Article  ADS  Google Scholar 

  48. M. Sharif, Z. Yousaf, Astrophys. Space Sci. 351, 351 (2014)

    Article  ADS  Google Scholar 

  49. F.S.N. Lobo, Phys. Rev. D 73, 064028 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  50. M. Richarte, C. Simeone, Phys. Rev. D 76, 087502 (2007)

    Article  ADS  Google Scholar 

  51. P. Kanti, B. Kleihaus, J. Kunz, Phys. Rev. Lett. 107, 271101 (2011)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  53. S. Kar, Phys. Rev. D 49, 862 (1994)

    Article  ADS  Google Scholar 

  54. A.A. Popov, Phys. Rev. D 64, 104005 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  55. C. Armendariz-Picón, Phys. Rev. D 65, 104010 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  56. H. Maeda, M. Nozawa, Phys. Rev. D 78, 024005 (2008)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  58. N.M. Garcia, F.S.N. Lobo, Class. Quantum Grav. 28, 085018 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  59. M.H. Daouda, M.E. Rodrigues, M.J.S. Houndjo, Eur. Phys. J. C 71, 1817 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  62. Alvarenga et al., J. Mod. Phys. 4, 130 (2013)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  64. M. Sharif, Z. Yousaf, Eur. Phys. J. C 75, 194 (2015) arXiv:1504.04367v1 [gr-qc]

    Article  ADS  Google Scholar 

  65. M.Z. Bhatti, Z. Yousaf, Eur. Phys. J. C 76, 219 (2016) arXiv:1604.01395 [gr-qc]

    Article  ADS  Google Scholar 

  66. Z. Yousaf, M.Z. Bhatti, Eur. Phys. J. C 76, 267 (2016) arXiv:1604.06271 [physics.gen-ph]

    Article  ADS  Google Scholar 

  67. M. Zubair, S. Waheed, Y. Ahmad, Eur. Phys. J. C 76, 444 (2016)

    Article  ADS  Google Scholar 

  68. M. Sharif, Z. Yousaf, Eur. Phys. J. C 75, 58 (2015)

    Article  ADS  Google Scholar 

  69. M. Sharif, Z. Yousaf, Can. J. Phys. 93, 905 (2015)

    Article  ADS  Google Scholar 

  70. M. Sharif, Z. Yousaf, Gen. Relativ. Gravit. 47, 48 (2015)

    Article  ADS  Google Scholar 

  71. Z. Yousaf, K. Bamba, M.Z. Bhatti, Phys. Rev. D 93, 064059 (2016) arXiv:1603.03175 [gr-qc]

    Article  ADS  Google Scholar 

  72. M.Z. Bhatti, Eur. Phys. J. Plus 131, 428 (2016)

    Article  Google Scholar 

  73. Z. Yousaf, Eur. Phys. J. Plus 132, 71 (2017)

    Article  Google Scholar 

  74. L. Herrera, N.O. Santos, Gen. Relativ. Gravit. 27, 1071 (1995)

    Article  ADS  Google Scholar 

  75. Z. Yousaf, M.Z. Bhatti, Mon. Not. R. Astron. Soc. 458, 1785 (2016)

    Article  ADS  Google Scholar 

  76. M. Sharif, Z. Yousaf, Int. J. Theor. Phys. 55, 470 (2016)

    Article  Google Scholar 

  77. M.Z. Bhatti, Z. Yousaf, Int. J. Mod. Phys. D 26, 1750045 (2017)

    Article  ADS  Google Scholar 

  78. J.L. Hernandez-Pastora, L. Herrera, J. Martin, Class. Quantum Grav. 33, 235005 (2016)

    Article  ADS  Google Scholar 

  79. Z. Yousaf, K. Bamba, M.Z. Bhatti, Phys. Rev. D 93, 124048 (2016) arXiv:1606.00147 [gr-qc]

    Article  ADS  MathSciNet  Google Scholar 

  80. Z. Yousaf, K. Bamba, M.Z. Bhatti, Phys. Rev. D 95, 024024 (2017) arXiv:1701.03067 [gr-qc]

    Article  ADS  Google Scholar 

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Authors and Affiliations

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

    Z. Yousaf & M. Zaeem-ul-Haq Bhatti

  2. Centre for High Energy Physics, University of the Punjab, Quaid-i-Azam Campus, 54590, Lahore, Pakistan

    M. Ilyas

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  1. Z. Yousaf
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Correspondence to Z. Yousaf.

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Yousaf, Z., Ilyas, M. & Zaeem-ul-Haq Bhatti, M. Static spherical wormhole models in f (R, T) gravity. Eur. Phys. J. Plus 132, 268 (2017). https://doi.org/10.1140/epjp/i2017-11541-6

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