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Study of galactic halo $F (T, T_{G})$ $F (T, T_{G})$ wormhole solutions

M. Sharif

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

E-mail Address: msharif.math@pu.edu.pk

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and

Kanwal Nazir

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

E-mail Address: awankanwal@yahoo.com

On leave from Department of Mathematics, Lahore College for Women University, Lahore 54000, Pakistan.

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https://doi.org/10.1142/S021827181750170XCited by:2 (Source: Crossref)

Abstract

In this paper, we investigate static spherically symmetric wormhole solutions with galactic halo region in the background of $F (T, T_{G})$ $F (T, T_{G})$ gravity. Here, $T$ $T$ represents torsion scalar and $T_{G}$ $T_{G}$ is teleparallel equivalent Gauss–Bonnet term. For this purpose, we consider a diagonal tetrad and two specific $F (T, T_{G})$ $F (T, T_{G})$ models. We analyze the wormhole structure through shape function graphically for both models. We also investigate the behavior of null/weak energy conditions. Finally, we evaluate the equilibrium condition to check stability of the wormhole solutions. It is concluded that there exists physically viable wormhole solution only for the first model that turns out to be stable.

Keywords:

PACS: 04.50.Kd, 95.35.+d, 98.62.Gq

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References

1. A. Y. Kamenshchik, U. Moschella and V. Pasquier , Phys. Lett. B 511 (2001) 265. Web of Science, ADS, Google Scholar
2. M. Li , Phys. Lett. B 603 (2004) 1. Web of Science, ADS, Google Scholar
3. R. G. Cai , Phys. Lett. B 657 (2007) 228. Web of Science, ADS, Google Scholar
4. H. Wei , Commun. Theor. Phys. 52 (2009) 743. Web of Science, ADS, Google Scholar
5. A. Sheykhi and M. Jamil , Gen. Relativ. Gravit. 43 (2011) 2661. Web of Science, ADS, Google Scholar
6. E. V. Linder , Phys. Rev. D 124 (2010) 127301. Web of Science, ADS, Google Scholar
7. R. Ferraro and F. Fiorini, Phys. Rev. D 75 (2007) 084031; G. R. Bengochea and R. Ferraro, Phys. Rev. D 79 (2009) 124019; E. V. Linder, Phys. Rev. D 81 (2010) 127301. Google Scholar
8. G. Kofinas and E. N. Saridakis , Phys. Rev. D 90 (2014) 084044. Web of Science, ADS, Google Scholar
9. G. Kofinas, G. Leon and E. N. Saridakis, Class. Quantum Grav. 31 (2014) 175011; G. Kofinas and E. N. Saridakis, Phys. Rev. D 90 (2014) 084045. Google Scholar
10. S. Chattopadhyay, A. Jawad, D. Momeni and R. Myrzakulov , Astrophys. Space Sci. 353 (2014) 279. Web of Science, ADS, Google Scholar
11. A. Jawad, S. Rani and S. Chattopadhyay , Astrophys. Space Sci. 360 (2015) 37. Web of Science, ADS, Google Scholar
12. A. Jawad and U. Debnath , Commun. Theor. Phys. 64 (2015) 145. Web of Science, ADS, Google Scholar
13. M. Zubair and A. Jawad , Astrophys. Space Sci. 360 (2015) 11. Web of Science, ADS, Google Scholar
14. M. Sharif and K. Nazir, Mod. Phys. Lett. A 31 (2016) 1650175; Can. J. Phys. 95 (2017) 297. Google Scholar
15. G. Jungman, M. Kamionkowski and K. Griest , Phys. Rep. 267 (1996) 195. Web of Science, ADS, Google Scholar
16. U. Nukamendi, M. Salgado and D. Sudarsky , Phys. Rev. Lett. 84 (2000) 3037. Web of Science, ADS, Google Scholar
17. S. Fay , Astron. Astrophys. 41 (2004) 799. Web of Science, ADS, Google Scholar
18. C. G. Böhmer, T. Harko and F. S. N. Lobo , Astropart. Phys. 29 (2008) 386. Web of Science, ADS, Google Scholar
19. A. Agnese and M. L. Camera , Phys. Rev. D 51 (1995) 2011. Web of Science, ADS, Google Scholar
20. L. A. Anchordoqui, S. E. P. Bergliaffa and D. F. Torres , Phys. Rev. D 55 (1997) 5226. Web of Science, ADS, Google Scholar
21. F. S. N. Lobo and M. A. Oliveira , Phys. Rev. D 80 (2009) 104012. Web of Science, ADS, Google Scholar
22. C. G. Böhmer, T. Harko and F. S. N. Lobo , Phys. Rev. D 85 (2012) 044033. Web of Science, ADS, Google Scholar
23. M. Sharif and S. Rani , Gen. Relativ. Gravit. 45 (2013) 2389. Web of Science, ADS, Google Scholar
24. J. F. Navarro, C. S. Frenk and S. D. M. White, Astrophys. J. 462 (1996) 563; ibid. 490 (1997) 493. Google Scholar
25. F. Rahaman, P. K. F. Kuhfittig, S. Ray and N. Islam , Eur. Phys. J. C 74 (2014) 2750. Web of Science, ADS, Google Scholar
26. P. K. F. Kuhfittig , Eur. Phys. J. C 74 (2014) 2818. Web of Science, ADS, Google Scholar
27. M. Sharif and S. Rani , Adv. High Energy Phys. 2014 (2014) 691497. Google Scholar
28. M. Sharif and H. I. Fatima , Astrophys. Space. Sci. 361 (2016) 127. Web of Science, ADS, Google Scholar
29. M. Sharif and K. Nazir , Mod. Phys. Lett. A 32 (2017) 1750083. Link, Web of Science, ADS, Google Scholar
30. C. W. Misner and J. A. Wheeler , Ann. Phys. 2 (1957) 525. Web of Science, ADS, Google Scholar
31. M. Morris and A. Thorne , Am. J. Phys. 56 (1988) 395. Web of Science, ADS, Google Scholar
32. S. Carroll , Spacetime and Geometry: An Introduction to General Relativity (Addison-Wesley, UK, 2004). Google Scholar