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Wormhole modeling supported by non-exotic matter

Gauranga C. Samanta

Department of Mathematics, BITS Pilani K K Birla Goa Campus, Goa, India

E-mail Address: gauranga81@gmail.com

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and

Nisha Godani

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura, Uttar Pradesh, India

E-mail Address: nishagodani.dei@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217732319502249Cited by:65 (Source: Crossref)

Abstract

In the present paper, the modeling of traversable wormholes, proposed by Morris and Thorne [Am. J. Phys.56, 395 (1988)], is performed within the $f (R)$ gravity with particular viable case $f (R) = R - μ R_{c} {(\frac{R}{R_{c}})}^{p}$ , where $μ$ , $R_{c} > 0$ and $0 < p < 1$ . The energy conditions are analyzed using the shape function $b (r) = \frac{r log (r + 1)}{log (r_{0} + 1)}$ defined by Godani and Samanta [Int. J. Mod. Phys. D28, 1950039 (2018)] and the geometric nature of wormholes is analyzed.

Keywords:

References

1. M. S. Morris and K. S. Thorne, Am. J. Phys. 56, 395 (1988). Crossref, Web of Science, ADS, Google Scholar
2. L. Flamm, Phys. Z. 17, 448 (1916). Google Scholar
3. A. Einstein and N. Rosen, Ann. Phys. 2, 242 (1935). Google Scholar
4. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Spacetime (Cambridge Univ. Press, 1973). Crossref, Google Scholar
5. S. Kar, Phys. Rev. D 49, 862 (1994). Crossref, Web of Science, ADS, Google Scholar
6. A. Wang and P. S. Letelier, arXiv:gr-qc-9506003. Google Scholar
7. S. Kar and D. Sahdev, Phys. Rev. D 53, 722 (1996). Crossref, Web of Science, ADS, Google Scholar
8. M. Visser, Lorentzian Wormholes: From Einstein to Hawking (AIP, 1995). Google Scholar
9. T. A. Roman, Phys. Rev. D 47, 1370 (1993). Crossref, Web of Science, ADS, Google Scholar
10. E. Poisson and M. Visser, arXiv:9506083v1. Google Scholar
11. C. Barceló and M. Visser, arXiv:gr-qc/9908029v1. Google Scholar
12. P. F. González-Díaz, arXiv:astro-ph/0308382v1. Google Scholar
13. M. Visser, S. Kar and N. Dadhich, Phys. Rev. Lett. 90, 201102 (2003). Crossref, Web of Science, ADS, Google Scholar
14. P. F. González-Díaz, arXiv:astro-ph/0404045v2. Google Scholar
15. S. Sushkov, arXiv:0502084v1. Google Scholar
16. F. S. N. Lobo, arXiv:0502099v2. Google Scholar
17. F. S. N. Lobo, arXiv:0506001v2. Google Scholar
18. C. G. Böhmer, T. Harko and F. S. N. Lobo, arXiv:0708.1537v3. Google Scholar
19. G. Dotti, J. Oliva and R. Troncoso, Phys. Rev. D 75, 024002 (2007). Crossref, Web of Science, ADS, Google Scholar
20. K. A. Bronnikov and V. G. Krechet, arXiv:1807.03641v1. Google Scholar
21. S. D. Forghani, H. Mazharimousavi and M. Halilsoy, arXiv:1807.10343v1. Google Scholar
22. M. Cataldo, P. Meza and P. Minning, arXiv:1101.5034v1. Google Scholar
23. Y. Heydarzade, N. Riazi and H. Moradpour, Can. J. Phys. 93, 1523 (2015). Crossref, Web of Science, ADS, Google Scholar
24. H. Moradpour, N. Sadeghnezhad and S. H. Hendi, Can. J. Phys. 95, 1257 (2017). Crossref, Web of Science, ADS, Google Scholar
25. R. A. El-Nabulsi, Can. J. Phys. 95, 605 (2017). Crossref, Web of Science, ADS, Google Scholar
26. S. Capozziello, Int. J. Mod. Phys. D 11, 483 (2002). Link, Web of Science, ADS, Google Scholar
27. S. Capozziello, S. Carloni and A. Troisi, Recent Res. Dev. Astron. Astrophys. 1, 625 (2003). Web of Science, Google Scholar
28. S. Nojiri and S. D. Odintsov, Phys. Rev. D 68, 123512 (2003). Crossref, Web of Science, ADS, Google Scholar
29. V. Faraoni, Phys. Rev. D 74, 023529 (2006). Crossref, Web of Science, ADS, Google Scholar
30. W. Hu and I. Sawicki, Phys. Rev. D 76, 064004 (2007). Crossref, Web of Science, ADS, Google Scholar
31. T. Faulkner, M. Tegmark, E. F. Bunn and Y. Mao, Phys. Rev. D 76, 063505 (2007). Crossref, Web of Science, ADS, Google Scholar
32. P. J. Zhang, Phys. Rev. D 76, 024007 (2007). Crossref, Web of Science, ADS, Google Scholar
33. I. Sawicki and W. Hu, Phys. Rev. D 75, 127502 (2007). Crossref, Web of Science, ADS, Google Scholar
34. S. Capozziello and S. Tsujikawa, Phys. Rev. D 77, 107501 (2008). Crossref, Web of Science, ADS, Google Scholar
35. L. Amendola and S. Tsujikawa, Phys. Lett. B 660, 125 (2008). Crossref, Web of Science, ADS, Google Scholar
36. G. C. Samanta and S. N. Dhal, Int. J. Theor. Phys. 52, 1334 (2013). Crossref, Web of Science, Google Scholar
37. G. C. Samanta, Int. J. Theor. Phys. 52, 2647 (2013). Crossref, Web of Science, Google Scholar
38. G. C. Samanta, Int. J. Theor. Phys. 52, 2303 (2013). Crossref, Web of Science, Google Scholar
39. P. H. R. S. Moraes, Eur. Phys. J. C 75, 168 (2015). Crossref, Web of Science, ADS, Google Scholar
40. P. H. R. S. Moraes, G. Ribeiro and R. A. C. Correa, Astrophys. Space Sci. 361, 227 (2016). Crossref, Web of Science, ADS, Google Scholar
41. Z. Yousaf, K. Bamba and M. Z. Bhatti, Phys. Rev. D 93, 1 (2016). Google Scholar
42. H. Shabani and A. H. Ziaie, Eur. Phys. J. C 77, 31 (2017). Crossref, Web of Science, ADS, Google Scholar
43. G. C. Samanta and R. Myrzakulov, Chinese J. Phys. 55, 1044 (2017). Crossref, Web of Science, ADS, Google Scholar
44. G. C. Samanta, R. Myrzakulov and P. Shah, Z. Naturforsch. A 74, 365 (2017). Crossref, Web of Science, ADS, Google Scholar
45. N. Godani, Int. J. Geom. Methods Mod. Phys. 16, 1950024 (2019). Link, Web of Science, Google Scholar
46. N. Godani, Indian J. Phys. 93, 951 (2019), https://doi.org/10.1007/s12648-018-01363-w. Crossref, Web of Science, ADS, Google Scholar
47. L. Amendola, R. Gannouji, D. Polarski and S. Tsujikawa, Phys. Rev. D 75, 083504 (2007). Crossref, Web of Science, ADS, Google Scholar
48. S. Nojiri and S. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007). Link, Web of Science, Google Scholar
49. A. De Felice and S. Tsujikawa, Living Rev. Relativ. 13, 3 (2010). Crossref, Web of Science, ADS, Google Scholar
50. S. Capozziello and M. De Laurentis, arXiv:1108.6266. Google Scholar
51. K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Astrophys. Space Sci. 342, 155 (2012). Crossref, Web of Science, ADS, Google Scholar
52. I. de Martino, M. De Laurentis and S. Capozziello, Universe 1, 123 (2015). Crossref, Web of Science, ADS, Google Scholar
53. G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani and S. Zerbini, Phys. Rev. D 77, 046009 (2008). Crossref, Web of Science, ADS, Google Scholar
54. E. V. Linder, Phys. Rev. D 80, 123528 (2009). Crossref, Web of Science, ADS, Google Scholar
55. L. Amendola and S. Tsujikawa, Dark Energy: Theory and Observations (Cambridge Univ. Press, 2013). Google Scholar
56. S. Nojiri, S. D. Odintsov and V. K. Oikonomou, Phys. Rep. 692, 1 (2017). Crossref, Web of Science, ADS, Google Scholar
57. S. Nojiri, O. Obregon, S. D. Odintsov and K. E. Osetrin, Phys. Lett. B 449, 173 (1999). Crossref, Web of Science, ADS, Google Scholar
58. S. Nojiri, O. Obregon, S. D. Odintsov and K. E. Osetrin, Phys. Lett. B 458, 19 (1999). Crossref, Web of Science, ADS, Google Scholar
59. F. S. N. Lobo and M. A. Oliveira, Phys. Rev. D 80, 104012 (2009). Crossref, Web of Science, ADS, Google Scholar
60. H. Saiedi and B. N. Esfahani, Mod. Phys. Lett. A 26, 1211 (2011). Link, Web of Science, ADS, Google Scholar
61. H. Saiedi, arXiv:1409.2179v1. Google Scholar
62. S. Bahamonde, M. Jamil, P. Pavlovic and M. Sossich, arXiv:1606.05295v2. Google Scholar
63. P. K. F. Kuhfittig, Indian J. Phys. 92, 1207 (2018). Crossref, Web of Science, ADS, Google Scholar
64. N. Godani and G. C. Samanta, Int. J. Mod. Phys. D 28, 1950039 (2018). Link, Web of Science, ADS, Google Scholar
65. G. C. Samanta, N. Godani and K. Bamba, arXiv:1811.06834v1. Google Scholar