Research ArticleNo Access

Stellar modeling with quintessence field via embedding approach in Ratsall teleparallel gravity

Department of Mathematics, Shanghai University and Newtouch, Center for Mathematics of Shanghai University, Shanghai 200444, P. R. China

Centre for High Energy Physics, University of the Punjab 54590, Lahore, Pakistan

E-mail Address: mahirfan@yahoo.com

Corresponding author.

Search for more papers by this author

Hira Sohail

https://orcid.org/0000-0002-3262-4016

Centre for High Energy Physics, University of the Punjab 54590, Lahore, Pakistan

E-mail Address: hirasohail02@outlook.com

Search for more papers by this author

Allah Ditta

https://orcid.org/0000-0001-7758-8736

Department of Mathematics, Shanghai University and Newtouch, Center for Mathematics of Shanghai University, Shanghai 200444, P. R. China

E-mail Address: mradshahid01@gmail.com

Corresponding author.

Search for more papers by this author

, and

Asif Mahmood

https://orcid.org/0000-0003-1803-8384

College of Engineering, Chemical Engineering Department, King Saud University Riyadh, Saudi Arabia

E-mail Address: ahayat@ksu.edu.sa

Search for more papers by this author

https://doi.org/10.1142/S0219887824502293Cited by:0 (Source: Crossref)

Abstract

This paper proposes a new model for anisotropic compact stars with quintessence in Rastall teleparallel gravity via embedding approach. In the gravity, the acquired field equations encompassing the anisotropic matter source as well as the quintessence field are studied using the specific character of the scalar torsion $T$ for the observed stars candidates PSRJ1416–2230, 4U1608–52, CenX–3, EXO 1785–248 and SMCX–1. All of the stellar structures under consideration are said to be advantageously independent of any central singularity and are stable. A thorough graphical analysis reveals that numerous physical properties critical for forming stellar structures are satisfied.

Keywords:

References

1. S. Perlmutter et al., Measurements of $Ω$ and $Λ$ from 42 high-redshift Supernovae, Astrophys. J. 517 (1999) 565. Crossref, Web of Science, Google Scholar
2. D. N. Spergel, L. Verde, H. V. Peiris, E. Komatsu, M. R. Nolta, C. L. Bennett, M. Halpern, G. Hinshaw, N. Jarosik, A. Kogut, M. Limon, S. S. Meyer, L. Page, G. S. Tucker, J. L. Weiland, E. Wollack and E. L. Wright , First-Year Wilkinson Microwave Anisotropy Probe (WMAP)* observations: Determination of cosmological parameters, Astrophys. J. Suppl. Ser. 148 (2003) 175. Crossref, Web of Science, Google Scholar
3. A. G. Riess et al., Observational evidence from Supernovae for an accelerating Universe and a Cosmological constant, Astron. J. 116 (1998) 1009. Crossref, Web of Science, Google Scholar
4. P. A. R. Ade et al., Detection of $B$ -mode polarization at degree angular scales by BICEP2, Phys. Rev. Lett. 112 (2014) 241101. Crossref, Web of Science, Google Scholar
5. W. M. Wood-Vasey et al., Observational constraints on the nature of dark energy: First cosmological results from the essence Supernova survey, Astrophys. J. 666 (2007) 694. Crossref, Web of Science, Google Scholar
6. M. Kowalski et al., Improved cosmological constraints from new, old, and combined Supernova data sets, Astrophys. J. 686 (2008) 749. Crossref, Web of Science, Google Scholar
7. E. Komatsu, J. Dunkley, M. R. Nolta, C. L. Bennett, B. Gold, G. Hinshaw, N. Jarosik, D. Larson, M. Limon, L. Page, D. N. Spergel, M. Halpern, R. S. Hill, A. Kogut, S. S. Meyer, G. S. Tucker, J. L. Weiland, E. Wollack and E. L. Wright , Five-year Wilkinson Microwave Anisotropy Probe observations: Cosmological interpretation, Astrophys. J. Suppl. Ser. 180 (2009) 330. Crossref, Web of Science, Google Scholar
8. M. Tegmark et al., Cosmological parameters from SDSS and WMAP, Phys. Rev. D 69 (2004) 103501. Crossref, Web of Science, Google Scholar
9. K. Abazajian et al., The first data release of the sloan digital sky survey, Astron. J. 126 (2003) 2081. Crossref, Web of Science, Google Scholar
10. K. Abazajian et al., The second data release of the sloan digital sky survey, Astron. J. 128 (2004) 502. Crossref, Web of Science, Google Scholar
11. K Abazajian et al., The third data release of the sloan digital sky survey, Astron. J. 129 (2005) 1755. Crossref, Web of Science, Google Scholar
12. E Hawkins et al., The 2dF galaxy redshift survey: Correlation functions, peculiar velocities and the matter density of the Universe, Mon. Not. R. Astron. Soc. 346 (2003) 78. Crossref, Web of Science, Google Scholar
13. L. Verde et al., The 2dF galaxy redshift survey: The bias of galaxies and the density of the Universe, Mon. Not. R. Astron. Soc. 335 (2002) 432. Crossref, Web of Science, Google Scholar
14. D. N. Spergel, L. Verde, H. V. Peiris, E. Komatsu, M. R. Nolta, C. L. Bennett, M. Halpern, G. Hinshaw, N. Jarosik, A. Kogut, M. Limon, S. S. Meyer, L. Page, G. S. Tucker, J. L. Weiland, E. Wollack and E. L. Wright , First-Year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Determination of Cosmological parameters, Astrophys. J. Suppl. Ser. 148 (2003) 175. Crossref, Web of Science, Google Scholar
15. E. J. Copeland, M. Sami and S. Tsujikawa , Dynamics of dark energy, Int. J. Mod. Phys. D 15 (2006) 1753. Link, Web of Science, Google Scholar
16. A. De Felice and S. Tsujikawa , $f (R)$ theories, Living Rev. Relativ. 13 (2010) 3. Crossref, Web of Science, Google Scholar
17. S. Capozziello and M. De Laurentis , Extended theories of gravity, Phys. Rep. 509 (2011) 167. Crossref, Web of Science, Google Scholar
18. Y.-F. Cai, S. Capozziello, M. De Laurentis and E. N. Saridakis , $f (T)$ teleparallel gravity and cosmology, Rep. Prog. Phys. 79 (2016) 106901. Crossref, Web of Science, Google Scholar
19. S. Capozziello, M. De Laurentis and V. Faraoni , A bird’s eye view of $f (R)$ -gravity, Open Astron. J. 3 (2010) 49. Google Scholar
20. R. Aldrovandi and J. G. Pereira , Teleparallel gravity, Teleparallel Gravity (Springer, Dordrecht, Netherlands, 2013). Crossref, Google Scholar
21. N. Groningen and R. Weitzenbock , Invariantentheorie, Noordhoff, Groningen, 1923, p. 320. Google Scholar
22. S Nojiri and S. D. Odintsov , Introduction to modified gravity and gravitational alternative for dark energy, Int. J. Geom. Methods Mod. Phys. 04 (2007) 115. Link, Web of Science, Google Scholar
23. M. Farasat Shamir and T. Naz , Stellar structures in $f (G)$ gravity with Tolman-Kuchowicz spacetime, Phys. Dark Univ. 27 (2020) 100472. Crossref, Web of Science, Google Scholar
24. M. Zubair and G. Abbas , Some interior models of compact stars in $f (R)$ gravity, Astrophys. Space Sci. 361 (2016) 342. Crossref, Web of Science, Google Scholar
25. S. K. Maurya, A. Errehymy, D. Deb, F. Tello-Ortiz and M. Daoud , Study of anisotropic strange stars in $f (R, T)$ gravity: An embedding approach under the simplest linear functional of the matter-geometry coupling, Phys. Rev. D 100 (2019) 044014. Crossref, Web of Science, Google Scholar
26. G. Mustafa, M. Zubair, S. Waheed and X. Tiecheng , Realistic stellar anisotropic model satisfying Karmarker condition in $f (R, T)$ gravity, Eur. Phys. J. C 80 (2020) 26. Crossref, Web of Science, Google Scholar
27. S. Waheed, G. Mustafa, M. Zubair and A. Ashraf , Physically acceptable Embedded Class-I compact stars in modified gravity with Karmarkar condition, Symmetry 12 (2020) 962. Crossref, Web of Science, Google Scholar
28. M. Rahaman, K. N. Singh, A. Errehymy, F. Rahaman and M. Daoud , Anisotropic Karmarkar stars in $f (R, T)$ -gravity, Eur. Phys. J. C 80 (2020) 272. Crossref, Web of Science, Google Scholar
29. M. Zubair, G. Abbas and I. Noureen , Possible formation of compact stars in $f (R, T)$ gravity, Astrophys. Space Sci. 361 (2016) 8. Crossref, Web of Science, Google Scholar
30. S. Bahamonde, M. Zubair and G. Abbas , Thermodynamics and cosmological reconstruction in $f (T, B)$ gravity, Phys. Dark Univ. 19 (2018) 78. Crossref, Web of Science, Google Scholar
31. S. Bahamonde, J. L. Said and M. Zubair , Solar system tests in modified teleparallel gravity, J. Cosmol. Astropart. Phys. 2020 (2020) 024. Crossref, Web of Science, Google Scholar
32. R. Saleem, F. Kramat and M. Zubair , Interior solutions of compact stars in $f (T, T)$ gravity under Karmarkar condition, Phys. Dark Univ. 30 (2020) 100592. Crossref, Web of Science, Google Scholar
33. I. G. Salako, M. Khlopov, S. Ray, M. Z. Arouko, P. Saha and U. Debnath , Study on anisotropic strange stars in $f (T, T)$ gravity, Universe 6 (2020) 167. Crossref, Web of Science, Google Scholar
34. A. Ashraf, Z. Zhang, A. Ditta and G. Mustafa , A study of anisotropic spheres in modified gravity via embedding approach, Ann. Phys. 422 (2020) 168322. Crossref, Web of Science, Google Scholar
35. A. Ditta, A. Ashraf, Z. Zhang and G. Mustafa , Modeling of anisotropic spheres in extended teleparallel theory with matter coupling, Chin. J. Phys. 69 (2021) 240. Crossref, Web of Science, Google Scholar
36. M. Zubair, A. Ditta, G. Abbas and R. Saleem , Physical aspects of anisotropic compact stars in $f (T, T)$ gravity with off diagonal tetrad, Chin. Phys. C 45 (2021) 085102. Crossref, Web of Science, Google Scholar
37. P. Rastall , A theory of gravity, Phys. Rev. D 6 (1972) 3357. Crossref, Google Scholar
38. P. Rastall , A theory of gravity, Can. J. Phys. 54 (1976) 66. Crossref, Web of Science, Google Scholar
39. M. Ruderman , Pulsars: Structure and dynamics, Ann. Rev. Astron. Astrophys. 10 (1972) 427. Crossref, Web of Science, Google Scholar
40. V. Canuto , Equation of state at ultrahigh densities, Ann. Rev. Astron. Astrophys. 12 (1974) 167. Crossref, Web of Science, Google Scholar
41. V. Canuto , Neutron stars: General review, Ann. New York Acad. Sci. 302 (1977) 514. Crossref, Google Scholar
42. V. Canuto and S. M. Chitre , Solidification of neutron matter, Phys. Rev. Lett. 30 (1973) 999. Crossref, Web of Science, Google Scholar
43. V. Canuto and S. M. Chitre , Crystallization of dense neutron matter, Phys. Rev. D 9 (1974) 1587. Crossref, Web of Science, Google Scholar
44. V. Canuto and J. Lodenquai , Behavior of matter at superhigh density, Phys. Rev. D 11 (1975) 233. Crossref, Web of Science, Google Scholar
45. V. Canuto and J. Lodenquai , Solidification of neutron matter, Phys. Rev. C 12 (1975) 2033. Crossref, Web of Science, Google Scholar
46. A. Ditta and T. Xia , Anisotropic compact stars features using Tolman Kuchowiz and Embedding space time in Rastall Teleparallel gravity, Chin. J. Phys. 79 (2022) 57. Crossref, Web of Science, Google Scholar
47. S. S. Bayin , Anisotropic fluids and cosmology, Astrophys. J. 303 (1986) 101. Crossref, Web of Science, Google Scholar
48. L. Herrera and W. Barreto , General relativistic polytropes for anisotropic matter: The general formalism and applications, Phys. Rev. D 88 (2013) 084022. Crossref, Web of Science, Google Scholar
49. K. R. Karmarkar , Gravitational metrics of spherical symmetry and class one, Proc. Indian Acad. Sci. A 27 (1948) 56. Crossref, Google Scholar
50. S. N. Pandey and S. P. Sharma , Insufficiency of Karmarkar’s condition, Gen. Relativ. Gravit. 14 (1982) 113. Crossref, Web of Science, Google Scholar
51. M. R. Finch and J. E. F. Skea , A realistic stellar model based on an ansatz of Duorah and Ray, Class. Quantum Gravit. 6 (1989) 467. Crossref, Web of Science, Google Scholar
52. K. Lake , All static spherically symmetric perfect-fluid solutions of Einstein’s equations, Phys. Rev. D 67 (2003) 104015. Crossref, Web of Science, Google Scholar
53. M. Zubair, A. Ditta and S. Waheed , Anisotropic stellar Finch-Skea structures satisfying Karmarkar condition in a teleparallel framework involving off-diagonal tetrad, Eur. Phys. J. Plus 136 (2021) 508. Crossref, Web of Science, Google Scholar
54. S. Das, F. Rahaman and L. Baskey , A new class of compact stellar model compatible with observational data, Eur. Phys. J. C 79 (2019) 853. Crossref, Web of Science, Google Scholar
55. R. L. Bowers and E. P. T. Liang , Anisotropic spheres in general relativity, Astrophys. J. 188 (1974) 657. Crossref, Web of Science, Google Scholar
56. B. V. Ivanov , Static charged perfect fluid spheres in general relativity, Phys. Rev. D 65 (2002) 104011. Crossref, Web of Science, Google Scholar
57. R. C. Tolman , Static solutions of Einstein’s field equations for spheres of fluid, Phys. Rev. 55 (1939) 364. Crossref, Google Scholar
58. J. R. Oppenheimer and G. M. Volkoff , On massive neutron cores, Phys. Rev. 55 (1939) 374. Crossref, Google Scholar
59. L. Herrera , Cracking of self-gravitating compact objects, Phys. Lett. A 165 (1992) 206. Crossref, Web of Science, Google Scholar
60. H. Abreu, H. Hernandez and L. A. Nez , Sound speeds, cracking and the stability of self-gravitating anisotropic compact objects, Class. Quantum Gravit. 24 (2007) 4631. Crossref, Web of Science, Google Scholar
61. H. Andrasson , Sharp bounds on $2 m / r$ of general spherically symmetric static objects, J. Differ. Equ. 245 (2008) 2243. Crossref, Web of Science, Google Scholar
62. W. Hillebrandt , Anisotropic neutron star models -Stability against radial and nonradial pulsations, Astron. Astrophys. 53 (1976) 2837. Web of Science, Google Scholar
63. H. Heintzmann and W. Hillebrandt , Neutron stars with an anisotropic equation of state -Mass, redshift and stability, Astron. Astrophys. 38 (1975) 515. Web of Science, Google Scholar
64. H. A. Buchdahl , General relativistic fluid spheres, Phys. Rev. 116 (1959) 1027. Crossref, Web of Science, Google Scholar
65. C. G. Bhmer and T. Harko , Bounds on the basic physical parameters for anisotropic compact general relativistic objects, Class. Quantum Gravit. 23 (2006) 6479. Crossref, Web of Science, Google Scholar
66. G. Mustafa, I. Hussain, M. F. Shamir and X. Tie-Cheng , Realistic and dark stellar models via embedding approach in the Rastall gravity, Phys. Scr. 96 (2021) 045009. Crossref, Web of Science, Google Scholar
67. S. Hansraj and S. D. Maharaj , Charged analogue of Finch-Skea stars, Int. J. Mod. Phys. D 15 (2006) 1311. Link, Web of Science, Google Scholar
68. R. Tikekar and K. Jotania , A relativistic two-parameter core-envelope model of compact stars, Gravit. Cosmol. 15 (2009) 129. Crossref, Web of Science, Google Scholar
69. A. Banerjee, F. Rahaman, K. Jotania, R. Sharma and M. Rahaman , Exact solutions in (2+1)-dimensional anti-de Sitter space-time admitting a linear or non-linear equation of state, Astrophys. Space Sci. 355 (2015) 353. Crossref, Web of Science, Google Scholar
70. M. Ruderman , Pulsars: Structure and dynamics, Ann. Rev. Astron. Astrophys. 10 (1972) 427. Crossref, Web of Science, Google Scholar
71. V. Canuto , Equation of state at ultrahigh densities, Ann. Rev. Astron. Astrophys. 12 (1974) 167. Crossref, Web of Science, Google Scholar