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Research ArticleNo Access

Formation of cylindrical gravastars in modified gravity

    https://doi.org/10.1142/S021988782150167XCited by:3 (Source: Crossref)
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    Abstract

    In this paper, we analyze a few physical characteristics of gravastar with cylindrical geometry in f(R,T) theory, where R is the Ricci scalar and T is the trace of energy-momentum tensor. The gravastar is generally considered to be a substitute of a black hole with three different regions. In this work, we examine the formulation of gravastar-like cylindrical structures in f(R,T) theory. By using Darmois and Israel matching conditions, we formulate a mass function of a thin shell. We calculate the different physical characteristics of gravastar, in particular, entropy within the thin shell, proper length of the intermediate thin shell as well as energy of the shell.

    AMSC: 35R45, 53A40, 83D05

    References

    • 1. D. Pietrobon, A. Balbi and D. Marinucci, Phys. Rev. D 74 (2006) 043524; T. Giannantonio et al., Phys. Rev. D 74 (2006) 063520; A. G. Riess et al., Astrophys. J. 659 (2007) 98. Google Scholar
    • 2. BICEP2 Collab. (P. A. R. Ade et al.), Phys. Rev. Lett. 112 (2014) 241101, arXiv:1403.3985 [astro-ph.CO]. Crossref, Web of Science, Google Scholar
    • 3. BICEP2 and Planck Collabs. (P. A. R. Ade et al.), Phys. Rev. Lett. 114 (2015) 101301, arXiv:1502.00612 [astro-ph.CO]. Crossref, Web of Science, Google Scholar
    • 4. BICEP2 and Keck Array Collabs. (P. A. R. Ade et al.), Phys. Rev. Lett. 116 (2016) 031302, arXiv:1510.09217 [astro-ph.CO]. Crossref, Web of Science, Google Scholar
    • 5. S. Nojiri and S. D. Odintsov, eConf C 0602061 (2006) 06; Int. J. Geom. Meth. Mod. Phys. 4 (2007) 115, arXiv:hep-th/0601213. Google Scholar
    • 6. S. Capozziello, Int. J. Mod. Phys. D 11 (2002) 483; E. Elizalde, S. Nojiri, S. D. Odintsov, L. Sebastiani and S. Zerbini, Phys. Rev. D 83 (2011) 086006. Google Scholar
    • 7. K. Bamba, C.-Q. Geng, C.-C. Lee and L.-W. Luo , J. Cosmol. Astropart. Phys. 1 (2011) 021. Crossref, Web of Science, Google Scholar
    • 8. M. J. S. Houndjo, M. E. Rodrigues, N. S. Mazhari, D. Momeni and R. Myrzakulov, Int. J. Mod. Phys. D 26 (2017) 1750024; Z. Yousaf, M. Sharif, M. Ilyas and M. Z. Bhatti, Int. J. Geom. Meth. Mod. Phys. 15 (2018) 1850146; M. Ilyas, Z. Yousaf and M. Z. Bhatti, Mod. Phys. Lett. A 34 (2019) 1950082. Google Scholar
    • 9. S. Nojiri and S. D. Odintsov, Phys. Lett. B 631, 1 (2005); A. De Felice and S. Tsujikawa, Phys. Lett. B 675 (2009) 1; N. M García, F. S. N. Lobo and J. P. Mimosa, J. Phys. Conf. Ser. 314 (2011) 01205; K. Bamba, M. Ilyas, M. Z. Bhatti and Z. Yousaf, Gen. Relativ. Gravit. 49 (2017) 112, arXiv:1707.07386 [gr-qc]. Google Scholar
    • 10. M. Sharif and A. Ikram, Eur. Phys. J. C 363 (2018) 178; Z. Yousaf, Astrophys. Space Sci. 363 (2018) 226; Z. Yousaf, Eur. Phys. J. Plus 134 (2019) 245; M. F. Shamir and M. Ahmad, Mod. Phys. Lett. A 34 (2019) 1950038. Google Scholar
    • 11. S. Nojiri and S. D. Odintsov Phys. Rep. 505 (2011) 59, arXiv:1011.0544 [gr-qc]; A. Joyce, B. Jain, J. Khoury and M. Trodden, Phys. Rep. 568 (2015) 1, arXiv:1407.0059 [astro-ph.CO]; S. Capozziello and V. Faraoni, Beyond Einstein Gravity (Springer, Dordrecht, 2010); S. Capozziello and M. De Laurentis, Phys. Rep. 509 (2011) 167, arXiv:1108.6266 [gr-qc]; K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Astrophys. Space Sci. 342 (2012) 155, arXiv:1205.3421 [gr-qc]; K. Koyama, arXiv:1504.04623 [astro-ph.CO]; A. de la Cruz-Dombriz and D. Sáez-Gómez, Entropy 14 (2012) 1717, arXiv:1207.2663 [gr-qc]; K. Bamba, S. Nojiri and S. D. Odintsov, arXiv:1302.4831 [gr-qc]; Symmetry 7 (2015) 220, arXiv:1503.00442 [hep-th]; Z. Yousaf, K. Bamba and M. Z. Bhatti, Phys. Rev. D 95 (2017) 024024, arXiv:1701.03067 [gr-qc]; M. Z. Bhatti and Z. Yousaf, Int. J. Mod. Phys. D 26 (2017) 1750045; M. Sharif and Z. Yousaf, Mon. Not. R. Astron. Soc. 432 (2013) 264. Google Scholar
    • 12. T. Harko, F. S. N. Lobo, S. Nojiri and S. D. Odintsov , Phys. Rev. D 84 (2011) 024020. Crossref, Web of Science, Google Scholar
    • 13. M. J. S. Houndjo , Int. J. Mod. Phys. D 21, 1250003 (2012). Link, Web of Science, Google Scholar
    • 14. P. Mazur and E. Mottola, Report No. LA-UR-01-5067. Google Scholar
    • 15. P. Mazur and E. Mottola , Proc. Natl. Acad. Sci. USA 101 (2004) 9545. Crossref, Web of Science, Google Scholar
    • 16. M. Visser and D. L. Wiltshire , Class. Quantum Grav. 21 (2004) 1135. Crossref, Web of Science, Google Scholar
    • 17. B. V. Turimov, B. J. Ahmedov and A. A. Abdujabbarov, Mod. Phys. Lett. A 24 (2009) 733; F. Rahaman, S. Ray, A. A. Usmani and S. Islam, Phys. Lett. B 707 (2012) 319; F. S. N. Lobo and R. Garattini, J. High Energy Phys. 12 (2013) 065; A. A. Usmani et al., Phys. Lett. B 701 (2011) 388; M. F. Shamir and M. Ahmad, Phys. Rev. D 97 (2018) 104031; M. Sharif and F. Javed, Ann. Phys. 415 (2020) 168124. Google Scholar
    • 18. S. Ghosh, F. Rahaman, B. K. Guha and S. Ray , Phys. Lett. B 380 (2017) 767. Google Scholar
    • 19. D. Horvat, S. Ilijic and A. Marunovic , Class. Quantum Grav. 26 (2009) 025003. Crossref, Web of Science, Google Scholar
    • 20. A. DeBenedictis, D. Horvat, S. Ilijic, S. Kloster and K. S. Viswanathan , Class. Quantum Grav. 23 (2006) 7. Crossref, Web of Science, Google Scholar
    • 21. B. M. N. Carter , Class. Quant. Grav. 22 (2005) 4551. Crossref, Web of Science, Google Scholar
    • 22. C. B. M. H. Chirenti and L. Rezzolla , Class. Quantum Grav. 24 (2007) 4191. Crossref, Web of Science, Google Scholar
    • 23. C. Cecilia, B. M. H. Chirenti and L. Rezzolla , Phys. Rev. D 78 (2008) 084011. Crossref, Web of Science, Google Scholar
    • 24. M. Z. Bhatti and Z. Tariq, Phys. Dark Universe 28 (2020) 100482; M. Z. Bhatti, Z. Yousaf and M. Yousaf, Phys. Dark Univ. 28 (2020) 100501; Z. Yousaf, M. Z. Bhatti and T. Naseer, Phys. Dark Univ. 28 (2020) 100535. Google Scholar
    • 25. Z. Yousaf , Phys. Dark Univ. 28 (2020) 100509. Crossref, Web of Science, Google Scholar
    • 26. Z. Yousaf, M. Z. Bhatti and H. Asad , Phys. Dark Universe 28 (2020) 100527. Crossref, Web of Science, Google Scholar
    • 27. M. Z. Bhatti, Z. Yousaf and A. Rehman , Phys. Dark Universe 28 (2020) 100561. Crossref, Web of Science, Google Scholar
    • 28. S. Ray, R. Sengupta and H. Nimesh , Int. J. Mod. Phys. D 29 (2020) 2030004. Link, Web of Science, Google Scholar
    • 29. A. Das et al., Phys. Rev. D 95 (2017) 124011. Crossref, Web of Science, Google Scholar
    • 30. Z. Yousaf, K. Bamba, M. Z. Bhatti and U. Ghafoor , Phys. Rev. D 100 (2019) 024062, arXiv:1907.05233 [gr-qc]. Crossref, Web of Science, Google Scholar
    • 31. M. Sharif and A. Ikram , Eur. Phys. J. C 76 (2016) 640. Crossref, Web of Science, Google Scholar
    • 32. L. D. Landau and E. M. Lifshitz , The Classical Theory of Fields (Butterworth-Heinemann, Oxford, 1998). Google Scholar
    • 33. O. J. Barrientos and G. F. Rubilar , Phys. Rev. D 90 (2014) 028501. Crossref, Web of Science, Google Scholar
    • 34. W. Israel, Nuovo Cimento, 44, 1 (1966); 48, 463(E) (1967). Google Scholar
    • 35. G. Darmois , Des Sciences Mathematiques XXV, Fasticule XXV (Gauthier-Villars, Paris, France, 1927). Google Scholar
    • 36. K. Lanczos , Ann. Phys. 379 (1924) 518. Crossref, Google Scholar
    • 37. N. Sen , Ann. Phys. 378 (1924) 365. Crossref, Google Scholar
    • 38. G. P. Perry and R. B. Mann , Gen. Relativ. Gravit. 24 (1992) 305. Crossref, Web of Science, Google Scholar
    • 39. P. Musgrave and K. Lake , Class. Quantum Grav. 13 (1996) 1885. Crossref, Web of Science, Google Scholar
    • 40. F. Rahaman, M. Kalam and S. Chakraborty , Gen. Relativ. Gravit. 38 (2006) 1687. Crossref, Web of Science, Google Scholar
    • 41. A. A. Usmani et al., Gen. Relativ. Gravit. 42 (2010) 2901. Crossref, Web of Science, Google Scholar
    • 42. G. A. S. Dias and J. P. S. Lemos , Phys. Rev. D 82 (2010) 084023. Crossref, Web of Science, Google Scholar
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