Research PapersNo Access

Black hole formation due to collapsing dark matter in a presence of dark energy in the brane-world scenario

CAS Key Laboratory for Research in Galaxies and Cosmology, University of Science and Technology of China, Hefei 230026, P. R. China

Department of Astronomy and Space Sciences, University of Science and Technology of China, Hefei 230026, P. R. 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

Search for more papers by this author

https://doi.org/10.1142/S0218271818500207Cited by:7 (Source: Crossref)

Abstract

In the last three to four decades, various programs have been studied in order to investigate the final fate of gravitational collapse of massive astronomical objects. In the theoretical context, Black Holes (BHs) are the consequence of final stage of the gravitational collapse. In this work, we investigated the gravitational collapse process of a spherically symmetric star constituted of dark matter (DM), $ρ_{M}$ $ρ_{M}$ , and Dark Energy (DE), $ρ$ $ρ$ in the context of the brane-world scenario. In our model, we discussed the anisotropy of the pressure in a fluid with Equation of State (EoS) $p_{t} = k ρ$ $p_{t} = k ρ$ and $p_{r} = l ρ$ $p_{r} = l ρ$ , $(l + 2 k < - 1)$ $(l + 2 k < - 1)$ . We briefly discussed various cases of gravitational collapse and it is found that BH can be formed by the gravitational collapse in brane-world regime while in some cases there is only a naked singularity at their end state.

Keywords:

PACS: 04.20.Dw, 04.20.Jb, 95.36.+x, 95.35.+d, 04.50.+h

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. R. Penrose , Phys. Rev. Lett. 14 (1965) 57. Web of Science, ADS, Google Scholar
2. S. W. Hawking and R. Penrose , Proc. R. Soc. Lond. A 314 (1970) 529. Web of Science, ADS, Google Scholar
3. J. R. Oppenheimer and H. Snyder , Phys. Rev. 56 (1939) 455. ADS, Google Scholar
4. P. S. Joshi , Global Aspects in Gravitation and Cosmology (Oxford University Press, 1993). Google Scholar
5. R. Maartens and K. Koyama , Living Rev. Rel. 13 (2010) 5. Web of Science, ADS, Google Scholar
6. A. Mazumdar , Phys. Rev. D 64 (2001) 027304. Web of Science, ADS, Google Scholar
7. L. Randall and R. Sundrum , Phys. Rev. Lett. 83 (1999) 4690. Web of Science, ADS, Google Scholar
8. T. Shiromizu, K. Maeda and M. Sasaki , Phys. Rev. D 62 (2000) 024012. Web of Science, ADS, Google Scholar
9. L. À. Gergely , Phys. Rev. D 68 (2003) 124011. Web of Science, ADS, Google Scholar
10. M. Stein , J. High Energy Phys. 1609 (2016) 067. Web of Science, ADS, Google Scholar
11. A. S. Majumdar and N. Mukherjee , Int. J. Mod. Phys. D 14 (2005) 1095. Link, Web of Science, ADS, Google Scholar
12. R.-G. Cai and A. Wang , Phys. Rev. D 73 (2006) 063005. Web of Science, ADS, Google Scholar
13. Z. Ahmad and H. H. Shah , Int. J. Theor. Phys. 52 (2013) 1490. Web of Science, Google Scholar
14. U. Debnath, A. Banerjee and S. Chakraborty , Int. J. Mod. Phys. D 12 (2003) 1255. Link, Web of Science, ADS, Google Scholar
15. S. Chakraborty, S. Chakraborty and U. Debnath , Int. J. Mod. Phys. D 14 (2005) 1707. Link, Web of Science, ADS, Google Scholar
16. R. Goswami and P. S. Joshi , Class. Quantum. Grav. 19 (2002) 5229. Web of Science, ADS, Google Scholar
17. J. F. Villas da Rocha, A. Wang and N. O. Santos , Phys. Lett. A 255 (1999) 213. Web of Science, ADS, Google Scholar
18. T. Harada , Phys. Rev. D 58 (1998) 104015. Web of Science, ADS, Google Scholar
19. G. Kofinas and E. Papantonopoulos , J. Cosmol. Astropart. Phys. 12 (2004) 011. Web of Science, ADS, Google Scholar
20. M. Heydari-Fard and H. R. Sepangi , J. Cosmol. Astropart. Phys. 02 (2009) 029. Web of Science, ADS, Google Scholar
21. N. Soma, S. Chakraborty and U. Debnath , Int. J. Mod. Phys. D 15 (2006) 1225. Link, Web of Science, Google Scholar
22. R. L. Bowers and E. P. T. Liang , Astrophys. J. 188 (1974) 657. Web of Science, ADS, Google Scholar
23. V. Canuto , Annu. Rev. Astron. Astrophys. 12 (1974) 167. Web of Science, ADS, Google Scholar
24. L. Herrera, A. di Prisco, J. L. Hernndez-Pastora and N. O. Santos , Phys. Lett. A 237 (1998) 113. Web of Science, ADS, Google Scholar
25. C. F. C. Brandt, M. F. A. da Silva and M. F. V. da Rocha , Int. J. Mod. Phys. D 15 (2006) 1407. Link, Web of Science, ADS, Google Scholar
26. C. F. C. Brandt, M. F. A. da Silva, M. F. V. da Rocha and R. Chan , Int. J. Mod. Phys. D 12 (2003) 1315. Link, Web of Science, ADS, Google Scholar
27. S. Perlmutter et al., Astrophys. J. 517 (1999) 565. Web of Science, ADS, Google Scholar
28. M. Tegmark et al., Phys. Rev. D 69 (2004) 103501. Web of Science, ADS, Google Scholar
29. V. Sahni and A. A. Starobinsky , Int. J. Mod. Phys. D 9 (2000) 373. Link, Web of Science, ADS, Google Scholar
30. S. M. Carrpll , Living Rev. Rel. 4 (2001) 1. Google Scholar
31. V. Sahni, “Dark Matter and Dark Energy” arXiv:astro-ph/0403324. Google Scholar
32. V. Sahni, 2005 Cosmological surprises from braneworld models of dark energy. arXiv:astro-ph/0502032. Google Scholar
33. T. Bandyopadhyay, A. Baveja and S. Chakraborty , Mod. Phys. Lett. A 23 (2008) 685. Link, Web of Science, ADS, Google Scholar
34. K. Maeda and D. Wands , Phys. Rev. D 62 (2000) 124009. Web of Science, ADS, Google Scholar
35. R. Maartens , Phys. Rev. D 62 (2000) 084023. Web of Science, ADS, Google Scholar
36. L. A. Gergely , J. Cosmol. Astropart. Phys. 02 (2007) 027. ADS, Google Scholar
37. S. Chakraborty and T. Bandyopadhyay , Gravit. Cosmol. 16 (2010) 151. Web of Science, ADS, Google Scholar
38. H. H. Shah, and Q. Iqbal , Int. J. Mod. Phys. D 26(13) (2017) 1750142, https://doi.org/10.1142/S0218271817501425. Link, Web of Science, ADS, Google Scholar
39. S. Hawking and G. F. R. Ellis , The Large Scale Structure of Spacetime (Cambridge University Press, 1973). Google Scholar
40. M. E. Cahill and G. C. McVittie , J. Math. Phys. 11 (1970) 1380. ADS, Google Scholar
41. P. Rudra, R. Biswas and U. Debnath , Astrophys. Space Sci. 342 (2012) 557. Web of Science, ADS, Google Scholar
42. E. Babichev, V. Dokuchave and Yu. Eroshenko , Phys. Rev. Lett. 93 (2004) 021102. Web of Science, ADS, Google Scholar
43. Supernova Search Team Collab. (A. G. Riess et al.), Astron. J. 116 (1998) 1009. Web of Science, Google Scholar
44. WMAP Collab. (D. N. Spergel et al.), Astrophys. J. Suppl. 148 (2003) 175. Web of Science, Google Scholar
45. F. Zwiecky , Helv. Phys. Acta 6 (1933) 110. ADS, Google Scholar