Skip to main content
SpringerLink
Log in

Physical analysis of Yukawa–Casimir traversable wormhole solutions in non-minimally coupled f(T) gravity

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

This article is based on the analysis of wormhole geometries in the perspective of non-minimal torsion-matter coupled gravity. In this work, we consider an explicit non-minimal coupling between an impulsive function of torsion scalar and the Lagrangian density of matter. In this exploration, we propose two profiles of energy densities for two non-minimally coupled f(T) gravity models and graphical plots are analyzed for different viable solutions. Wormhole solutions obtained from these models corresponding to Casimir profile violate null energy condition, whereas solutions corresponding to Yukawa–Casimir profile satisfy the null energy condition to support the wormhole geometries. Moreover, we also examine the stability of obtained solutions through Tolman–Oppenheimer–Volkoff equation and it exhibits that our calculated results are stable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

Data Availability Statement

There is no associate data regarding this manuscript.

References

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

    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 (1983)

    Article  ADS  Google Scholar 

  4. M.S. Thorne, K.S. Thorne, U. Yurtsever, Phys. Rev. Lett. 61, 1446 (1988)

    Article  ADS  Google Scholar 

  5. F.S.N. Lobo, Phys. Rev. D 73, 395 (2006)

    Article  Google Scholar 

  6. F.S.N. Lobo, Phys. Rev. D 71, 084011 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  7. S.V. Sushkov, Phys. Rev. D 71, 043520 (2005)

    Article  ADS  Google Scholar 

  8. M. Sharif, A. Jawad, Eur. Phys. J. Plus 129, 15 (2014)

    Article  Google Scholar 

  9. A. Das, S. Kar, Class. Quantum Gravity 22, 3045 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. E. Teo, Phys. Rev. D 58, 024014 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  12. N.M. Garcia, F.S.N. Lobo, M. Visser, Phys. Rev. D 86, 044026 (2012)

    Article  ADS  Google Scholar 

  13. P.E. Kashargin, S.V. Sushkov, Phys. Rev. D 78, 064071 (2008)

    Article  ADS  Google Scholar 

  14. S. Ker, D. Sahdev, Phys. Rev. D 53, 722 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  15. A.V.B. Arellano, F.S.N. Lobo, Class. Quantum Gravity 23, 5811 (2006)

    Article  ADS  Google Scholar 

  16. S.V. Sushkov, Y.-Z. Zhang, Phys. Rev. D 77, 024042 (2008)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  18. M. Jamil et al., J. Korean Phys. Soc. 65, 917 (2014)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  20. F. Safari et al., Chin. Phys. Lett. 34, 060301 (2017)

    Article  ADS  Google Scholar 

  21. P. Wu, H.W. Yu, Phys. Lett. B 693, 415 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. S.H. Chen, J.B. Dent, S. Dutta, E.N. Saridakis, Phys. Rev. D 83, 023508 (2011)

    Article  ADS  Google Scholar 

  24. J.B. Dent, S. Dutta, E.N. Saridakis, J. Cosmol. Astropart. Phys. 01, 009 (2011)

    Article  ADS  Google Scholar 

  25. R. Zheng, Q.G. Huang, J. Cosmol. Astropart. Phys. 03, 002 (2011)

    Article  ADS  Google Scholar 

  26. K. Bamba, C.Q. Geng, C.C. Lee, L.W. Luo, J. Cosmol. Astropart. Phys. 01, 021 (2011)

    Article  ADS  Google Scholar 

  27. Y.-F. Cai, S.H. Chen, J.B. Dent, S. Dutta, E.N. Saridakis, Class. Quantum Gravity 28, 2150011 (2011)

    Google Scholar 

  28. M. Sharif, S. Rani, Mod. Phys. Lett. A 26, 1657 (2011)

    Article  ADS  Google Scholar 

  29. M. Li, R.X. Miao, Y.G. Miao, J. High Energy Phys. 07, 108 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  31. M.H. Daouda, M.E. Rodrigues, M.J.S. Houndjo, Eur. Phys. J. C 72, 1890 (2012)

    Article  ADS  Google Scholar 

  32. Y.P. Wu, C.Q. Geng, Phys. Rev. D 86, 104058 (2012)

    Article  ADS  Google Scholar 

  33. H. Wei, X.J. Guo, L.F. Wang, Phys. Lett. B 707, 298 (2012)

    Article  ADS  Google Scholar 

  34. K. Atazadeh, F. Darabi, Eur. Phys. J. C 72, 2016 (2012)

    Article  ADS  Google Scholar 

  35. K. Karami, A. Abdolmaleki, J. Cosmol. Astropart. Phys. 04, 007 (2012)

    Article  ADS  Google Scholar 

  36. L. Lorio, E.N. Saridakis, Mon. Not. R. Astron. Soc. 427, 1555 (2012)

    Article  ADS  Google Scholar 

  37. J. Amoros, J. de Haro, S.D. Odintsov, Phys. Rev. D 87, 104037 (2013)

    Article  ADS  Google Scholar 

  38. G.R. Bengochea, Phys. Lett. B 695, 405 (2011)

    Article  ADS  Google Scholar 

  39. T. Wang, Phys. Rev. D 84, 024042 (2011)

    Article  ADS  Google Scholar 

  40. R.-X. Miao, M. Li, Y.-G. Miao, J. Cosmol. Astropart. Phys. 11, 033 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  43. R. Ferraro, F. Fiorini, Phys. Rev. D 84, 083518 (2011)

    Article  ADS  Google Scholar 

  44. K. Bamba, S. Capozziello, M. De Laurentis, S. Nojiri, D. Sez-Gmez, Phys. Lett. B 727, 194 (2013)

    Article  ADS  Google Scholar 

  45. S. Capozziello, P.-A. Gonzalez, E.N. Sadidakis, Y. Vasquez, J. High Energy Phys. 02, 039 (2013)

    Article  ADS  Google Scholar 

  46. K. Bamba, S. Nojiri, S.D. Odintsov, Phys. Lett. B 731, 257 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  47. A. Paliathanasis, S. Basilakos, K.N. Saridakis, S. Capozziello, K. Atazadeh, F. Darabi, M. Tsamparlis, Phys. Rev. D 89, 104042 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  52. M. Sharif, S. Rani, Mod. Phys. Lett. A 29, 1450137 (2014)

    Article  ADS  Google Scholar 

  53. M. Sharif, S. Rani, Eur. Phys. J. Plus 129, 237 (2014)

    Article  Google Scholar 

  54. M. Sharif, S. Rani, Adv. High Energy Phys. 2014, 691497 (2014)

    Google Scholar 

  55. A. Jawad, S. Rani, Eur. Phys. J. C 75, 173 (2015)

    Article  ADS  Google Scholar 

  56. A. Jawad, S. Rani, M. Faizal, B.M. Amin, S. Bahamonde, Eur. Phys. J. Plus 131, 436 (2016)

    Article  Google Scholar 

  57. C.Q. Geng, C.C. Lee, E.N. Saridakis, Y.P. Wu, Phys. Lett. B 704, 384–387 (2011)

    Article  ADS  Google Scholar 

  58. G. Kofinas, E.N. Saridakis, Phys. Rev. D 90, 084044 (2014)

    Article  ADS  Google Scholar 

  59. S. Bahamonde, C.G. Böhmer, M. Wright, Phys. Rev. D 92, 104042 (2015)

    Article  MathSciNet  ADS  Google Scholar 

  60. T. Harko, F.S.N. Lobo, S. Nojiri, S.D. Odintsov, Phys. Rev. D 84, 024020 (2011)

    Article  ADS  Google Scholar 

  61. T. Harko, F.S.N. Lobo, G. Otalora, E.N. Saridakis, JCAP 12, 021 (2014)

    Article  ADS  Google Scholar 

  62. T. Harko, F.S.N. Lobo, G. Otalora, E.N. Saridakis, Phys. Rev. D 89, 124036 (2014)

    Article  ADS  Google Scholar 

  63. O. Bertolami, C.G. Böhmer, T. Harko, F.S.N. Lobo, Phys. Rev. D 75, 104016 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  64. T. Harko, Phys. Lett. B 669, 376 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  65. T. Harko, F.S.N. Lobo, Eur. Phys. J. C 70, 373 (2010)

    Article  ADS  Google Scholar 

  66. R.P.L. Azevedo, P.P. Avelino, Phys. Rev. D 98, 064045 (2018)

    Article  MathSciNet  ADS  Google Scholar 

  67. S. Bahamonde, Eur. Phys. J. C 78, 326 (2018)

    Article  ADS  Google Scholar 

  68. R. March, O. Bertolami, M. Muccino, R. Baptista, S. Dell’Agnello, Phys. Rev. D 100, 042002 (2019)

    Article  ADS  Google Scholar 

  69. O. Bertolami, C. Gomes, Phys. Rev. D 102, 084051 (2020)

    Article  MathSciNet  ADS  Google Scholar 

  70. T. Harko, P.H.R.S. Moraes, Phys. Rev. D 101, 108501 (2020)

    Article  MathSciNet  ADS  Google Scholar 

  71. G.A. Carvalho, F. Rocha, H.O. Oliveira, R.V. Lobato, Eur. Phys. J. C 81, 134 (2021)

    Article  ADS  Google Scholar 

  72. M. Gamonal, Phys. Dark Univ. 31, 100768 (2021)

    Article  Google Scholar 

  73. J.M.Z. Pretel, S.E. Joras, R.R.R. Reis, J.D.V. Arbanil, JCAP 04, 064 (2021)

    Article  Google Scholar 

  74. M.G. Ganiou, I.G. Salako, M.J.S. Houndjo, J. Tossa, Astrophys. Space Sci. 361, 57 (2016)

    Article  ADS  Google Scholar 

  75. S. Ghosh, A.D. Kanfon, A. Das, M.J.S. Houndjo, I.G. Salako, S. Ray, Int. J. Mod. Phys. A 35, 2050017 (2020)

    Article  ADS  Google Scholar 

  76. I.G. Salako, M. Khlopov, S. Ray, M.Z. Arouko, P. Saha, U. Debnath, Universe 6, 167 (2020)

    Article  ADS  Google Scholar 

  77. N.M. Garcia, F.S.N. Lobo, Phys. Rev. D 82, 104018 (2010)

    Article  ADS  Google Scholar 

  78. G.G.L. Nashed, Astrophys. Space Sci. 357, 157 (2015)

    Article  ADS  Google Scholar 

  79. C.-J. Feng, F.-F. Ge, X.-Z. Li, R.-H. Lin, X.-H. Zhai, Phys. Rev. D 92, 104038 (2015)

    Article  ADS  Google Scholar 

  80. S. Carloni, F.S.N. Lobo, G. Otalora, E.N. Saridakis, Phys. Rev. D 93, 024034 (2016)

    Article  MathSciNet  ADS  Google Scholar 

  81. A. Jawad, S. Rani, Eur. Phys. J. C 76, 704 (2016)

    Article  ADS  Google Scholar 

  82. A. Jawad, H. Moradpour, Int. J. Geom. Methods Mod. Phys. 15, 12 (2018)

    Google Scholar 

  83. R. Garattini, Eur. Phys. J. C 79, 951 (2019)

    Article  ADS  Google Scholar 

  84. H. Yukawa, Proc. Phys. Math. Soc. Jpn. 17, 48 (1935)

    Google Scholar 

  85. D. Borka, P. Jovanovic, V. Borka Jovanovic, A.F. Zakharov, JCAP 11, 050 (2013). arXiv:1311.1404 [astro-ph.GA]

    Article  ADS  Google Scholar 

  86. A.F. Zakharov, P. Jovanovic, D. Borka, V. Borka Jovanovic, JCAP 05, 045 (2016). arXiv:1605.00913 [gr-qc]

    Article  ADS  Google Scholar 

  87. A.F. Zakharov, P. Jovanovic, D. Borka, V. Borka Jovanovic, JCAP 04, 050 (2018). arXiv:1801.04679 [gr-qc]

    Article  ADS  Google Scholar 

  88. S. Capozziello, V. Borka Jovanovic, D. Borka, P. Jovanovic, Phys. Dark Univ. 29, 100573 (2020). arXiv:2004.11557 [gr-qc]

    Article  Google Scholar 

  89. I. De Martino, R. Lazkoz, M. De Laurentis, Phys. Rev. D 97, 104067 (2018). arXiv:1801.08135 [gr-qc]

    Article  MathSciNet  ADS  Google Scholar 

  90. M. De Laurentis, I. De Martino, R. Lazkoz, Phys. Rev. D 97, 104068 (2018). arXiv:1801.08136 [gr-qc]

    Article  MathSciNet  ADS  Google Scholar 

  91. J.W. Moffat, Eur. Phys. J. C 75, 175 (2015). arXiv:1412.5424 [gr-qc]

    Article  ADS  Google Scholar 

  92. P. Mishra, T.P. Singh, Phys. Rev. D 88, 104036 (2013)

    Article  ADS  Google Scholar 

  93. P.W. Milonni, The Quantum Vacuum: An Introduction to Quantum Electrodynamics (Academic Press Inc., New York, 1994), p.99

    Google Scholar 

  94. R. Garattini, Eur. Phys. J. C 81, 824 (2021)

    Article  ADS  Google Scholar 

  95. F. Rahaman, P.K.F. Kuhfittig, S. Ray, N. Islamd, Eur. Phys. J. C 74, 2750 (2014)

    Article  ADS  Google Scholar 

  96. P.K.F. Kuhfittig, Eur. Phys. J. C 74, 2818 (2014)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Lahore-Campus, Lahore, 54000, Pakistan

    Abdul Jawad, M. Bilal Amin Sulehri & Shamaila Rani

Authors
  1. Abdul Jawad
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Bilal Amin Sulehri
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shamaila Rani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abdul Jawad.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jawad, A., Sulehri, M.B.A. & Rani, S. Physical analysis of Yukawa–Casimir traversable wormhole solutions in non-minimally coupled f(T) gravity. Eur. Phys. J. Plus 137, 1274 (2022). https://doi.org/10.1140/epjp/s13360-022-03453-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-022-03453-5

Search

Navigation