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The curvature effect on the gravitational collapse of interacting and non-interacting combination of dark matter and dark energy

S. Z. Abbas

http://orcid.org/0000-0003-1502-020X

School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Department of Mathematics and Statistics, Hazara University Mansehra, KPK, Pakistan

E-mail Address: abbas@bit.edu.cn

Corresponding author.

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H. H. Shah

School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Department of Mathematical Sciences, Baluchistan University of Information Technology, Engineering and Management Sciences, Quetta 87300, Pakistan

E-mail Address: hasrat@mail.ustc.edu.cn

Corresponding author.

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W. Chammam

Department of Mathematics, College of Science Al-Zulfi, Majmaah University, P.O. Box 66, Majmaah 11952, Saudi Arabia

E-mail Address: w.chammam@mu.edu.sa

Corresponding author.

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H. Sun

School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

E-mail Address: huafeisun@bit.edu.cn

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Wasim Ul Haq

Department of Mathematics, College of Science Al-Zulfi, Majmaah University, P.O. Box 66, Majmaah 11952, Saudi Arabia

Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan

E-mail Address: wasim474@hotmail.com

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, and

H. Shah

Department of Mathematics, University of Peshawar, Pakistan

E-mail Address: hassanshah13@yahoo.com

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https://doi.org/10.1142/S0217751X20500785Cited by:0 (Source: Crossref)

Abstract

The study of gravitational collapse is a very interesting phenomena in general relativistic astrophysics. Here, in this study we investigated the gravitational collapse of a spherically symmetric core of a star, constituted of dark matter (DM) ( $ρ_{DM}$ $ρ_{DM}$ ), in dark energy (DE) ( $ρ_{DE}$ $ρ_{DE}$ ) background. It was investigated that gravitational collapse of interacting and noninteracting combination of DM and DE yields BH formation. In this work, our main aim is to examine the effect of space–time curvature $(k = 0, 1, - 1)$ $(k = 0, 1, - 1)$ on the gravitational collapse of interacting and noninteracting combination of dark matter and DE. We achieve the visible influence of curvature on gravitational collapse analytically and interpret the results graphically.

Keywords:

PACS: 04.20.Dw, 04.20.Jb, 95.36.+x, 95.35.+d

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References

1. Planck Collab. (Y. Akrami et al.), arXiv:1807.06205 [astro-ph.CO]. Google Scholar
2. J. Einasto, E. Saar, A. Kaasik and A. D. Chernin, Nature 252, 111 (1974). Web of Science, ADS, Google Scholar
3. J. Lee and E. Komatsu, Astrophys. J. 718, 60 (2010). Web of Science, ADS, Google Scholar
4. G. Bertone and D. Hooper, Rev. Mod. Phys. 90, 045002 (2018). Web of Science, Google Scholar
5. R. Brito, V. Cardoso and H. Okawa, Phys. Rev. Lett. 115, 111301 (2015). Web of Science, ADS, Google Scholar
6. J. Bramante, Phys. Rev. Lett. 115, 141301 (2015). Web of Science, ADS, Google Scholar
7. A. Choplin et al., Astron. Astrophys. 605, A106 (2017). Web of Science, Google Scholar
8. Supernova Search Team Collab. (A. G. Riess et al.), Astron. J. 116, 1009 (1998), arXiv:astro-ph/9805201. Web of Science, Google Scholar
9. Supernova Cosmology Project Collab. (S. Perlmutter et al.), Astrophys. J. 517, 565 (1999), arXiv:astro-ph/9812133. Web of Science, Google Scholar
10. WMAP Collab. (D. N. Spergel et al.), Astrophys. J. Suppl. 148, 175 (2003). Web of Science, Google Scholar
11. SDSS Collab. (D. J. Eisenstein et al.), Astrophys. J. 633, 560 (2005), arXiv:astro-ph/0501171. Web of Science, Google Scholar
12. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989). Web of Science, ADS, Google Scholar
13. E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006), arXiv:hep-th/0603057. Link, Web of Science, ADS, Google Scholar
14. R. R. Caldwell, R. Dave and P. J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998). Web of Science, ADS, Google Scholar
15. T. Chiba, T. Okabe and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000). Web of Science, ADS, Google Scholar
16. I. Zlatev, L. M. Wang and P. J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999). Web of Science, ADS, Google Scholar
17. P. J. Steinhardt, L. M. Wang and I. Zlatev, Phys. Rev. D 59, 123504 (1999). Web of Science, ADS, Google Scholar
18. L. Amendola, Phys. Rev. D 62, 043511 (2000). Web of Science, ADS, Google Scholar
19. R. Kallosh, J. Kratochvil, A. Linde, E. Linder and M. Shmakova, J. Cosmol. Astropart. Phys. 10, 015 (2003). ADS, Google Scholar
20. Y. Wang et al., Cosmol. Astropart. Phys. 12, 006 (2004). Web of Science, ADS, Google Scholar
21. T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Phys. Rep. 513, 1 (2012), arXiv:1106.2476 [astro-ph.CO]. Web of Science, ADS, Google Scholar
22. T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010). Web of Science, ADS, Google Scholar
23. S. Capozziello, Int. J. Mod. Phys. D 11, 483 (2002). Link, Web of Science, ADS, Google Scholar
24. S. Capozziello, S. Carloni and A. Troisi, Recent Res. Dev. Astron. Astrophys. 1, 625 (2003). Web of Science, Google Scholar
25. S. Nojiri and D. S. Odintsov, Phys. Rep. 505, 59 (2011). Web of Science, ADS, Google Scholar
26. A. Nicolis, R. Rattazzi and E. Trincherini, Phys. Rev. D 79, 064036 (2009). Web of Science, ADS, Google Scholar
27. C. Deffayet, G. Esposito-Farese and A. Vikman, Phys. Rev. D 79, 084003 (2009). Web of Science, ADS, Google Scholar
28. R. Gannouji and M. Sami, Phys. Rev. D 82, 024011 (2010). Web of Science, ADS, Google Scholar
29. A. Ali, R. Gannouji and M. Sami, Phys. Rev. D 82, 103015 (2010). Web of Science, ADS, Google Scholar
30. A. Ali, R. Gannouji, M. W. Hossain and M. Sami, Phys. Lett. B 718, 5 (2012). Web of Science, ADS, Google Scholar
31. D. Adak, A. Ali and D. Majumdar, Phys. Rev. D 88, 024007 (2013). Web of Science, ADS, Google Scholar
32. S.-C. Leung, M.-C. Chu and L.-M. Lin, Phys. Rev. D 84, 107301 (2011). Web of Science, ADS, Google Scholar
33. S.-C. Leung, M.-C. Chu and L.-M. Lin, Astrophys. J. 812, 110 (2015). Web of Science, ADS, Google Scholar
34. S.-C. Leung, M.-C. Chu and L.-M. Lin, Mon. Not. R. Soc. 454, 1238 (2015). Web of Science, ADS, Google Scholar
35. P. W. Graham, R. Janish, V. Narayan, S. Rajendran and P. Riggins, Phys. Rev. D 98, 115027 (2018). Web of Science, ADS, Google Scholar
36. J. Ellis et al., Phys. Rev. D 97, 123007 (2018). Web of Science, ADS, Google Scholar
37. C. Ma, R. R. Caldwell, P. Bode and L. Wang, Astrophys. J. 521, L1 (1999). Web of Science, ADS, Google Scholar
38. D. F. Mota and C. van de Bruck, Astron. Astrophys. 421, 71 (2004). Web of Science, ADS, Google Scholar
39. S. W. Hawking and G. F. R. Ellis, Large Scale Structure of Space-time (Cambridge University Press, Cambridge, 1973). Google Scholar
40. R. M. Wald, General Relativity (The University of Chicago Press, Chicago, 1984). Google Scholar
41. J. R. Oppenheimer and H. S. Snyder, Phys. Rev. D 56, 455 (1939). ADS, Google Scholar
42. B. Datt, Z. Phys. 108, 314 (1938). ADS, Google Scholar
43. R.-G. Cai and A. Wang, Phys. Rev. D 73, 063005 (2006), arXiv:astro-ph/0505136. Web of Science, ADS, Google Scholar
44. D. Wang, arXiv:1505.00093 [gr-qc]. Google Scholar
45. L. Modesto, Int. J. Theor. Phys. 47, 357 (2008). Web of Science, Google Scholar
46. P. Rudra and U. Debnath, Int. J. Theor. Phys. 53, 2668 (2014). Web of Science, Google Scholar
47. M. Compos and J. A. S. Lima, Phys. Rev. D 86, 043012 (2012). Web of Science, ADS, Google Scholar
48. H. H. Shah, F. Rahaman, A. Ali and S. Molla, Phys. Dark Universe 24, 100291 (2019). Web of Science, ADS, Google Scholar
49. H. H. Shah and Q. Iqbal, Int. J. Mod. Phys. D 26, 1750142 (2017). Link, Web of Science, ADS, Google Scholar
50. H. H. Shah, Int. J. Mod. Phys. D 27, 1850020 (2018). Link, Web of Science, ADS, Google Scholar
51. Z. S. Abbas et al., Mod. Phys. Lett. A 34, 19502407 (2019). Google Scholar
52. M. Khan, W. A. Khan and A. S. Alshomrani, Int. J. Heat Mass Transf. 101, 570 (2016). Web of Science, Google Scholar
53. Z. Ahmad and H. H. Shah, Int. J. Theor. Phys. 52, 1490 (2013). Web of Science, Google Scholar
54. M. E. Cahill and G. C. McVittie, J. Math. Phys. 11, 1382 (1970). Web of Science, ADS, Google Scholar
55. R.-G. Cai and A. Wang, J. Cosmol. Astropart. Phys. 0503, 002 (2005). Web of Science, ADS, Google Scholar
56. https://iopscience.iop.org/article/10.3847/2041-8213/aaa401. Google Scholar