Research PaperNo Access

Bangaljhi Swami Vivekananda Vidyamandir (H.S.), Bangaljhi, Chapra, Nadia 741123, West Bengal, India

E-mail Address: ghoshmithun123@gmail.com

https://doi.org/10.1142/S0217732324501426Cited by:0 (Source: Crossref)

Abstract

Using the observed flat galactic rotation curve feature and taking into account the presence of anisotropic dark matter with a Hernquist density profile, the space-time geometry of the halo region in galaxies is derived. The gravitational field inside the halo is attractive in nature, and the resultant space-time is flat. We find that our solution affirms the existence of stable circular orbits in the dark halo region. The expression for the equation of state parameter indicates that the matter within the dark halo is non-exotic in nature. An analysis is also conducted on several other aspects of the solution.

Keywords:

PACS: 95.30.Sf, 95.35.+d

References

1. F. Zwicky , Helv. Phys. Acta 6, 124 (1933). Google Scholar
2. F. Zwicky , Phys. Rev. 51, 290 (1937). Crossref, ADS, Google Scholar
3. J. H. Oort , Astrophys. J. 91, 273 (1940). Crossref, ADS, Google Scholar
4. J. P. Ostriker and P. J. E. Peebles , Astrophys. J. 186, 467 (1973). Crossref, Web of Science, ADS, Google Scholar
5. M. Persic, P. Salucci and F. Stel , Mon. Not. R. Astron. Soc. 458, 4172 (1996). Google Scholar
6. R. H. Sanders and S. S. McGaugh , Ann. Rev. Astron. Astrophys. 40, 263 (2002). Crossref, Web of Science, ADS, Google Scholar
7. J. D. Bekenstein , Phys. Rev. D 71, 069901 (2005). Crossref, Web of Science, ADS, Google Scholar
8. P. D. Mannheim and D. Kazanas , Astrophys. J. 342, 635 (1989). Crossref, Web of Science, ADS, Google Scholar
9. J. W. Moffat , J. Cosmol. Astropart. Phys. 0603, 4 (2006). Crossref, Web of Science, ADS, Google Scholar
10. B. Mashhoon , Ann. Phys. 16, 57 (2007). Crossref, Google Scholar
11. B. Mashhoon , Phys. Lett. B 673, 279 (2009). Crossref, Web of Science, ADS, Google Scholar
12. G. W. Horndeski , Int. J. Theor. Phys. 10, 363 (1974). Crossref, Web of Science, ADS, Google Scholar
13. J. W. Moffat , Phys. Lett. B 355, 447 (1995). Crossref, Web of Science, ADS, Google Scholar
14. F. Rahaman, K. K. Nandi, A. Bhadra, M. Kalam and K. Chakraborty , Phys. Lett. B 694, 10 (2010). Crossref, Web of Science, ADS, Google Scholar
15. T. Harko and F. S. N. Lobo , Phys. Rev. D 83, 124051 (2011). Crossref, Web of Science, ADS, Google Scholar
16. M. Ghosh , Mod. Phys. Lett. A 36, 2150043 (2021). Link, Web of Science, ADS, Google Scholar
17. T. Harko, F. S. N. Lobo, M. K. Mak and S. V. Sushkov , Mod. Phys. Lett. A 29, 1450049 (2014). Link, Web of Science, ADS, Google Scholar
18. M. G. Kitzbichler and W. Saurer , Astrophys. J. 590, L9 (2003). Crossref, Web of Science, Google Scholar
19. G. Tormen , Mon. Not. R. Astron. Soc. 290, 411 (1997). Crossref, Web of Science, ADS, Google Scholar
20. M. Cadoni, A. P. Sanna and M. Tuveri , Phys. Rev. D 102, 023514 (2020). Crossref, Web of Science, ADS, Google Scholar
21. D. Aubert, C. Pichon and S. Colombi , Mon. Not. R. Astron. Soc. 352, 376 (2004). Crossref, Web of Science, ADS, Google Scholar
22. R. Chan, M. F. A. da Silva and J. F. V. da Rocha , J. Math. Phys. 12, 347 (2003). Abstract, ADS, Google Scholar
23. L. Herrera and N. O. Santos , Phys. Rep. 286, 53 (1997). Crossref, Web of Science, ADS, Google Scholar
24. L. Herrera , Phys. Rev. D 101, 104024 (2020). Crossref, Web of Science, ADS, Google Scholar
25. W. Jaffe , Mon. Not. R. Astron. Soc. 202, 995 (1983). Crossref, Web of Science, ADS, Google Scholar
26. J. Binney and S. Tremaine , Galactic Dynamics ( Princeton Univ. Press, 1987). Google Scholar
27. L. Hernquist , Astrophys. J. 356, 359 (1990). Crossref, Web of Science, ADS, Google Scholar
28. G. de Vaucouleurs , Ann. Astrophys. 11, 247 (1948). ADS, Google Scholar
29. J. F. Navarro, C. S. Frenk and S. D. M. White , Astrophys. J. 462, 563 (1996). Crossref, Web of Science, ADS, Google Scholar
30. F. C. Adams and A. M. Bloch , Astrophys. J. 629, 204 (2005). Crossref, Web of Science, ADS, Google Scholar
31. L. Saleh and J. E. Barnes , Mon. Not. R. Astron. Soc. 527, 8551 (2024). Crossref, Web of Science, ADS, Google Scholar
32. N. Dai, Y. Gong, Y. Zhao and T. Jiang, arXiv:2301.05088. Google Scholar
33. M. Rahman, S. Kumar and A. Bhattacharyya , J. Cosmol. Astropart. Phys. 1, 35 (2024). Crossref, Web of Science, ADS, Google Scholar
34. A. R. Shirazi et al., Mon. Not. R. Astron. Soc. 513, 3526 (2022). Crossref, Web of Science, ADS, Google Scholar
35. M. Oguri , PASP 133, 074504 (2021). Crossref, Web of Science, Google Scholar
36. Z. Stuchlík and J. Vrba , J. Cosmol. Astropart. Phys. 11, 59 (2021). Crossref, Web of Science, ADS, Google Scholar
37. F. Rahaman, M. Kalam, A. DeBenedictis, A. A. Usmani and S. Ray, Mon. Not. R. Astron. Soc. 389, 27 (2008). Crossref, Web of Science, ADS, Google Scholar
38. M. T. Busha, F. C. Adams, R. H. Wechsler and A. E. Evrard , Astrophys. J. 596, 713 (2003). Crossref, Web of Science, ADS, Google Scholar
39. W. Wang, J. Han, M. Cautun, Z. Li and M. N. Ishigaki , Sci. China Phys. Mech. Astron. 63, 10980 (2020). Web of Science, Google Scholar
40. Alis J. Deason et al., Mon. Not. R. Astron. Soc. 485, 3514 (2019). Crossref, Web of Science, ADS, Google Scholar
41. Robert J. J. Grand et al., Mon. Not. R. Astron. Soc. 487, L72 (2019). Crossref, Web of Science, Google Scholar
42. Gwendolyn M. Eadie et al., Astrophys. J. 835, 167 (2017). Crossref, Web of Science, ADS, Google Scholar
43. P. R. Kafle, S. Sharma, G. F. Lewis and J. B. Hawthorn , Astrophys. J. 794, 59 (2014). Crossref, Web of Science, ADS, Google Scholar
44. D. Lynden-Bell, J. Katz and J. Bicak , Phys. Rev. D 75, 024040 (2007). Crossref, Web of Science, ADS, Google Scholar
45. T. Matos, D. Nunez and R. A. Sussman , Class. Quantum Grav. 21, 5275 (2004). Crossref, Web of Science, ADS, Google Scholar