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Kaluza–Klein cosmological model with strange-quark-matter in Lyra geometry

D. D. Pawar

School of Mathematical Science, Swami Ramanand Teerth Marathwada University, Nanded 431606, India

E-mail Address: dypawar@yahoo.com

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B. L. Jakore

School of Mathematical Science, Swami Ramanand Teerth Marathwada University, Nanded 431606, India

E-mail Address: bashujakore@gmail.com

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, and

V. J. Dagwal

https://orcid.org/0000-0002-6013-6861

Department of Mathematics, Government College of Engineering, Nagpur 441 108, India

E-mail Address: vdagwal@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0219887823500792Cited by:5 (Source: Crossref)

Abstract

In this paper, we have studied Kaluza–Klein Cosmological Model with strange-quark-matter in Lyra Geometry. To determine the solution of the field equation, we have assumed that scalar expansion $𝜃$ is proportional to shear scalar $σ^{2}$ which leads to $A_{1} = {(A_{2})}^{r}$ , where $A_{1}$ , $A_{2}$ are metric potentials and $r$ is arbitrary constant. The cosmological parameters are investigated with the help of equation of state strange-quark-matter (SQM), which is $p = \frac{ρ - 4 B_{c}}{3}$ , where $B_{c}$ is Bag constant. We compared the results of general General relativity (GR) and scalar-tensor theory and also discussed the behaviors of some physical parameters.

Keywords:

PACS: 04.50.kd

References

1. T. Kaluza , Sitz. Preuss. Akad. Wiss. K1 (1921) 966. Google Scholar
2. O. Klein , Quantentheorie und fnfdimensionale Relativittstheorie, Z. Phys. 37 (1926) 895906. Crossref, Google Scholar
3. H. C. Lee , An Introdution to Kaluza Klein Theories (World Scientific, 1984). Google Scholar
4. T. Appelquist, A. Chodos and P. G. O. Freund , Modren Kaluza Klein Theories (Addison-Wesley, 1987). Google Scholar
5. P. D. B. Collins, A. D. Martin and E. J. Squires , Particle Physics and Cosmology (Wiley, 1989) Crossref, Google Scholar
6. A. Chodus and S. Detweller , Phys. Rev. D 21 (1980) 2167. Crossref, Web of Science, Google Scholar
7. H. Y. Liu and P. S. Wesson , Astrophys. J. 562 (2001) 1. Crossref, Web of Science, Google Scholar
8. S. S. Seahra and P. S. Wesson , Math. Phys. 44 (2003) 5664. Crossref, Web of Science, Google Scholar
9. T. Chiba and M. Yamaguchi , Phys. Rev. D 61 (1999) 027304. Crossref, Web of Science, Google Scholar
10. A. H. Guth , Phys. Rev. D 23 (1981) 347. Crossref, Web of Science, Google Scholar
11. F. Alvarez and M. B. Gavela , Phys. Rev. Lett. 51 (1987) 931. Crossref, Web of Science, Google Scholar
12. H. Farajollah and H. Amir , Int. J. Mod. Phys. D 19 (2010) 1823. Link, Web of Science, Google Scholar
13. F. Darabi , Gen. Relativ. Gravit. 41 (2009) 497. Crossref, Web of Science, Google Scholar
14. T. Fukui , Gen. Relativ. Gravit. 25 (1993) 931–938. Crossref, Web of Science, Google Scholar
15. J. Ponce de Leon , Gen. Relativ. Gravit. 20 (1988) 539. Crossref, Web of Science, Google Scholar
16. L. K. Chi , Gen. Relativ. Gravit. 22 (1990) 1347. Crossref, Web of Science, Google Scholar
17. P. K. Sahoo and B. Mishra , Can. J. Phys. 92 (2014) 1062. Crossref, Web of Science, Google Scholar
18. M. Sharif and F. Khanum , Gen. Relativ. Gravit. 43 (2011) 2885–2894. Crossref, Web of Science, Google Scholar
19. M. Salti et al., Astrophys. Space Sci. 362 (2017) 207. Crossref, Web of Science, Google Scholar
20. A. R. Bodmer , Phys. Rev. D 4 (1971) 1601. Crossref, Web of Science, Google Scholar
21. E. Witten , Phys. Rev. D 30 (1984) 272. Crossref, Web of Science, Google Scholar
22. E. Farhi and R. L. Jaffe , Phys. Rev. D 30 (1984) 2379. Crossref, Web of Science, Google Scholar
23. M. Buballa , Nucl. Phys. A 611 (1996) 393. Crossref, Web of Science, Google Scholar
24. J. Madsen , Phys. Rev. Lett. 85 (2000) 4687. Crossref, Web of Science, Google Scholar
25. D. A. Dicus, W. W. Repko and V. L. Teplitz , Phys. Rev. D 78 (2008) 094006. Crossref, Web of Science, Google Scholar
26. U. Heinz , Nucl. Phys. A 685 (2001) 414. Crossref, Google Scholar
27. C. Alcock, E. Farhi and A. Olinto , Astrophys. J. 310 (1986) 261. Crossref, Web of Science, Google Scholar
28. S. Chakrabarty , Phys. Rev. D 54 (1996) 1306. Crossref, Web of Science, Google Scholar
29. K. Sato and H. Suzuki , Phys. Rev. Lett. 58 (1987) 2722. Crossref, Web of Science, Google Scholar
30. L. Dong and S. L. Shapiro , Astrophys. J. 383 (1991) 745. Crossref, Web of Science, Google Scholar
31. B. Paczynski , Acta Astron. 42 (1992) 145. Google Scholar
32. C. Thompson and R. C. Duncan , Astrophys. J. 392 (1992) L9. Crossref, Web of Science, Google Scholar
33. C. Kouveliotou et al., Nature 393 (1998) 235, https://doi.org/10.1038/30410. Crossref, Web of Science, Google Scholar
34. T. Tatsumi, T. Maruyama, E. Nakano and K. Nawa , Nucl. Phys. A 774 (2006) 827. Crossref, Web of Science, Google Scholar
35. B. Feng, R. Huang and Y. Jia , Phys. Lett. B 695 (2011) 350. Crossref, Web of Science, Google Scholar
36. G. H. Bordbar and A. R. Peivand , Res. Astron. Astrophys. 11 (2011) 851. Crossref, Web of Science, Google Scholar
37. X.-J. Wen, S.-Z. Su, D.-H. Yang and G.-X. Peng , Phys. Rev. D 86 (2012) 034006. Crossref, Web of Science, Google Scholar
38. J. Madsen , Physics and astrophysics of strange quark matter, Hadrons in Dense Matter and Hadrosynthesis, Vol. 516 (Springer, Berlin, Heidelberg, 1999), pp. 162–203. Crossref, Google Scholar
39. R. Nagpal, J. K. Singh and S. Aygün , Astrophys. Space Sci. 363 (2018) 114. Crossref, Web of Science, Google Scholar
40. J. F. Xu, G. X. Peng, F. Liu, D. F. Hou and L. W. Chen , Phys. Rev. D 92 (2015) 025025. Crossref, Web of Science, Google Scholar
41. C. Peng et al., Nucl. Sci. Tech. 27 (2012) 98. Crossref, Web of Science, Google Scholar
42. K. Schertler, C. Greiner and M. H. Thoma , Nucl. Phys. A 616(3–4) (1997) 659–679. Crossref, Web of Science, Google Scholar
43. S. Chakrabarty , Phys. Rev. D 48 (1993) 1409. Crossref, Web of Science, Google Scholar
44. K. S. Cheng, Z. G. Dai and T. Lu , Int. J. Mod. Phys. D 7 (1998) 139. Link, Web of Science, Google Scholar
45. H. Caglar et al., Chin. Phys. C 40 (2016) 045103. Crossref, Web of Science, Google Scholar
46. K. L. Mahanta et al., Eur. Phys. J. Plus 129 (2014) 1. Crossref, Web of Science, Google Scholar
47. P. K. Sahoo et al., Mod. Phys. Lett. A 32 (2017) 1750105. Link, Web of Science, Google Scholar
48. C. Aktas and S. Aygun , Chin. J. Phys. 55(1) (2017) 71–78. Crossref, Web of Science, Google Scholar
49. D. D. Pawar, D. K. Raut and W. D. Patil , Mod. Phys. Lett. A 37 (2022) 2250122. Link, Web of Science, Google Scholar
50. S. Aygun, C. Akta and I. Ylmaz , Astrophys. Space Sci. 361(12) (2016) 1–6. Crossref, Web of Science, Google Scholar
51. G. S. Khadekar and R. Shelote , Int. J. Theor. Phys. 51 (2012) 1442. Crossref, Web of Science, Google Scholar
52. V. Singh and A. Beesham , New Astron. 89 (2021) 101634. Crossref, Web of Science, Google Scholar
53. S. Aygün et al., Eur. Phys. J. Plus 130 (2015) 12. Crossref, Web of Science, Google Scholar
54. I. Yilmaz and A. A. Yavuz , Int. J. Mod. Phys. D 15(4) (2006) 477–483. Link, Web of Science, Google Scholar
55. T. Singh and G. P Singh , Fortschritte der Physik/Progress Phys. 41(8) (1993) 737–764. Crossref, Google Scholar
56. J. D. Barrow, R. Maartens and C. G. Tsagas , Phys. Rep. 449 (2007) 131–171, https://doi.org/10.1016/j.physrep.2007.04.006, arXiv:astro-ph/0611537. Crossref, Web of Science, Google Scholar
57. P. K. Agrawal and D. D. Pawar , J. Astrophys. Astron. 38(1) (2017) 2. Crossref, Web of Science, Google Scholar
58. P. K. Sahoo et al., New Astron. 60 (2018) 80–87. Crossref, Web of Science, Google Scholar
59. D. D. Pawar and S. P. Shahare , New Astron. 75 (2020) 101318. Crossref, Web of Science, Google Scholar
60. A. G. Riess et al., Astron. J. 118(6) (1999) 2668. Crossref, Web of Science, Google Scholar
61. C. B. Collins and J. Wainwright , Phys. Rev. D 27(6) (1983) 1209. Crossref, Web of Science, Google Scholar
62. C. Aktas and S. Aygün , Chin. J. Phys. 55 (2017) 7178. Crossref, Web of Science, Google Scholar
63. P. K. Sahoo, P. Sahoo, B. K. Bishi and S. Aygün , Mod. Phys. Lett. A 32(21) (2017) 1750105. Link, Web of Science, Google Scholar
64. V. J. Dagwal, D. D. Pawar, Y. S. Solanke and H. R. Shaikh , Mod. Phys. Lett. A 35 (2020) 2050196. Link, Web of Science, Google Scholar
65. F. Sorge , Phys. Rev. D 90(8) (2014) 084050. Crossref, Web of Science, Google Scholar
66. A. Pradhan et al., Int. J. Theor. Phys. 46 (2007) 2774–2787. Crossref, Web of Science, Google Scholar
67. I. Yilmaz and H. Baysal , Int. J. Mod. Phys. D 14 (2005) 697–705. Link, Web of Science, Google Scholar
68. H. Gholizade, A. Altaibayeva and R. Myrzakulov , Int. J. Theor. Phys. 54(6) (2015) 2107–2118. Crossref, Web of Science, Google Scholar
69. S. D. Katore , Int. J. Theor. Phys. 51 (2012) 83–89. Crossref, Web of Science, Google Scholar
70. V. U. M. Rao and D. Neelima , Eur. Phys. J. Plus 129 (2014) 122. Crossref, Web of Science, Google Scholar
71. V. Singh and A. Beesham , New Astron. 89 (2021) 101634. Crossref, Web of Science, Google Scholar
72. G. Lyra , Math. Z. 54 (1951) 52. Crossref, Google Scholar
73. D. K. Sen , Z. Phys. A: Hadrons Nuclei 149 (1957) 311. Google Scholar
74. D. K. Sen and K. A. Dunn , Math. Phys. 12 (1971) 578. Crossref, Web of Science, Google Scholar
75. W. D. Halford , Aust. J. Phys. 23 (1970) 863. Crossref, Web of Science, Google Scholar
76. H. H. Soleng , Gen. Relativ. Gravit. 19 (1987) 1213. Crossref, Web of Science, Google Scholar
77. K. S. Bhamra , Aust. J. Phys. 27 (1974) 541. Crossref, Web of Science, Google Scholar
78. A. Beesham , Astrophys. Space Sci. 127 (1986) 189. Crossref, Web of Science, Google Scholar
79. G. Mohanty, K. L. Mahanta and R. R. Sahoo , Astrophys. Space Sci. 306 (2006) 269. Crossref, Web of Science, Google Scholar
80. F. Rahaman et al., Pramana J. Phys. 61 (2003) 153–159. Crossref, Web of Science, Google Scholar
81. C. Aktaş, S. Aygün and P. K. Sahoo , Mod. Phys. Lett. A 33 (2018) 1850135. Link, Web of Science, Google Scholar
82. A. Pradhan and S. S. Kumhar , Astrophys. Space Sci. 321 (2009) 137–146. Crossref, Web of Science, Google Scholar
83. S. K. J. Pacif , Eur. Phys. J. Plus 135 (2020) 792. Crossref, Web of Science, Google Scholar
84. R. Nagpal, S. K. J. Pacif and A. Parida , Mod. Phys. Lett. A 37(18) (2022) 2250112. Link, Web of Science, Google Scholar
85. S. K. J. Pacif et al., Mod. Phys. Lett. A 35 (2020) 2050011. Link, Web of Science, Google Scholar
86. G. C. Samanta and S. Debata , Int. J. Theor. Phys. 52 (2013) 3999. Crossref, Web of Science, Google Scholar