Abstract
We have probed spatially homogeneous anisotropic Bianchi type-I universe in \(f(Q)\) gravity in the presence of dark matter, Tsallis holographic dark energy (THDE) and Rényi holographic dark energy (RHDE) were the goals of this research, where \(Q\) denotes the non-metricity scalar. It is presumable that the Lagrangian \(f(Q)\) depends linearly on \(Q\). In order to arrive at the answer, the model parameter was constrained using the 30 observational Hubble data (OHD) in the range \(0 \le z \le 2.36\). We estimated model parameter using the Markov Chain Monte Carlo (MCMC) approach and found that the model and observations appeared to be in good agreement. In order to find the precise solution of the field equations, we take into account a time-varying deceleration parameter (DP) in this work. This parameter creates an accelerating universe. For the foreseeable future of the universe’s evolution, the physical and kinematical characteristics of both hypotheses are thoroughly examined. Strong energy conditions (SEC) are in violation, indicating that the cosmos is expanding more quickly. But, weak energy conditions (WEC) and dominant energy conditions (DEC) are behaving positively, supporting the validity of the theory.
Similar content being viewed by others
Data availability
No data was associated in the manuscript.
References
A G Riess et al, Astron. J. 116, 1009 (1998)
S Perlmutter et al, Astrophys. J. 517, 565 (1999)
P deBernardis et al, Nature 404, 955 (2000)
S Perlmutter et al, Astrophys. J. 598, 102 (2003)
M Colless et al, Mon. Not. R. Astron. Soc. 328, 1039 (2001)
M. Tegmark et al, Phys. Rev. D 69, 103501 (2004)
S Cole et al, Mon. Not. R. Astron. Soc. 362, 505 (2005)
V Springel, C S Frenk, S M D White, Nature 440, 1137(2006)
P A R Ade et al, Astron. Astrophys. 571, A16 (2014)
P Astier et al, Astron. Astrophys. 447, 31 (2006)
A.G. Riess et al, Astrophys. J. 659, 98 (2007)
D N Spergel et al, Astrophys. J. Suppl. Ser. 148, 175 (2003)
H V Peiris et al, Astrophys. J. Suppl. Ser. 148, 213 (2003)
D N Spergel et al, Astrophys. J. Suppl. Ser. 170, 377 (2007)
A D Felice, S Tsujikawa, Living Rev. Relativ., 13, 3(2010)
V Sahni, Class. Quant. Grav., 19, 3435(2002)
S Nojiri, S D Odintsov, Phys. Rep., 505, 59(2011)
E V Linder, Phys. Rev. D, 81, 127301(2010)
R Ferraro, F Fiorini, Phys. Lett. B, 702, 75 (2011)
M Sharif, S Rani, Phys. Rev. D,88, 123501(2013)
S Nojiri, S D Odintsov, Phys. Lett. B, 631, 1(2005)
G Cognola, E Elizalde, S Nojiri, S D Odintsov, S Zerbini, Phys. Rev. D 73, 084007(2006)
T Harko, S N Francisco, F S N Lobo, S Nojiri, S D Odintsov, Phys. Rev. D, 84, 024020 (2011)
J B Jiménez et al, Phys. Rev. D 98, 044048 (2018)
T Harko et al, Phys. Rev. D 98, 084043 (2018)
F Noemi, Phys. Rev. D 103, 044021 (2021)
R Lazkoz et al, Phys. Rev. D 100, 104027 (2019)
S Mandal, P K Sahoo, J R L Santos, Phys. Rev. D 102, 024057 (2020)
W Khyllep, A Paliathansis, J Dutta, Phys. Rev. D 103, 103521 (2021)
B J Barros et al, Phys. Dark Universe 30, 100616 (2020)
F K Anagnostopoulos, S Basilakos, E N Saridakis, Phys. Lett. B. 822, 136634 (2021)
R Solanki et al, Physics of the Dark Universe 32, 100820 (2021)
S A Narwade et al arXiv:2203.14121v1 [gr-qc] (2022)
N Dimakis, A Paliathanasis, and T Christodoulakis, Class. Quantum Grav. 38, 225003 (2021)
S Mandal, D Wang, P K Sahoo, Phys. Rev. D 102, 124029 (2020)
A Y Shaikh, arXiv:2208.03171 (2022)
I Ayuso, R Lazkoz, V Salzano, Phys. Rev. D 103, 063505 (2021)
Z Hasan, S Mandal, P K Sahoo, Fortschritte der Physik 69, 2100023 (2021)
G Mustafa, Z Hassan, P H R S Moraes, P K Sahoo, Phys. Lett. B 821, 136612 (2021)
R Lin, X Zhai, Phys. Rev. D 103, 124001 (2021)
L Susskind, J. Math. Phys. 36, 6377 (1995)
A Cohen, D Kaplan, A Nelson, Phys. Rev. Lett. 82, 4971 (1999)
S D H Hsu, Phys. Lett. B 594, 13 (2004)
M Li, Phys. Lett. B 603 (2004)
C Tsallis, J. Stat. Phys., 52, 479 (1988)
A Rényi, In Proceedings of the 4th Berkeley symposium on mathematics, statistics and probability; University California Press: Berkeley, CA, USA, Vol.1, 547 (1961)
B D Sharma, D P Mittal, J. Math. Sci., 10, 28 (1975)
M Tavayef, A Sheykhi, K Bamba, H Moradpour, Phys. Lett. B, 781, 195 (2018)
H Moradpour, S A Moosavi, I P Lobo, J P M Graca, A Jawad, I G Salako, Eur. Phys. J. C, 829, 78 (2018)
A S Jahromi, S A Moosavi, H Moradpour, J P M Grac, I P Lobo, I G Salako, A Jawad, Phys. Lett. B, 780, 21 (2018)
M Korunur, Phys. Lett. A 34, 1950310 (2019)
Y Aditya, S Mandal, P K Sahoo and D R K Reddy, Eur. Phys. J. C 79, 1020 (2019)
A A Aly, Eur. Phys. J. Plus 134, 335 (2019)
A A Aly, Adv. Astron. 2019, 8138067 (2019)
A K Yadav, Eur. Phys. J. C, 81, 8 (2021)
S Maity and U Debnath, Eur. Phys. J. Plus 134, 514 (2019)
S Maity and U Debnath, Int. J. of Geom. Methods in Mod. Phys. 17, 2050170 (2020)
U K Sharma, V C Dubey, New Astronomy 80, 101419 (2020)
E M Barboza, RdC Nunes Jr, E M C Abreu, J Ananias Neto, Physica A 436, 301 (2015)
S Nojiri and S D Odintsov, Eur. Phys. J. C 77, 528 (2017)
S Ghaffari, H Moradpour, I P Lobo, J P Morais Graaa, V B Bezerra, Eur. Phys. J. C 78, 706 (2018)
E N Saridakis, K Bamba, R Myrzakulov, F K Anagnostopoulos, JCAP 1812, 012 (2018)
A Iqbal and A Jawad, Physics of the Dark Universe, 26, 100349, (2019)
S Nojiri, S D Odintsov, E N Saridakis, Eur. Phys. J. C 79, 242 (2019)
Q Huang, H Huang, J Chen, L Zhang, F Tu, Class. Quant. Grav. 36, 175001 (2019)
V C Dubey, S Srivastava, U K Sharma, A Pradhan, Pramana-J. Phys. 93, 78 (2019)
E Sadri, Eur. Phys. J.C 79, 762 (2019)
T Golanbari, K Saaidi, P Karimi, arXiv:2002.04097 [astro-ph.CO] (2020)
U K Sharma, V C Dubey, arXiv:2001.02368 [gr-qc] (2020)
S Ghaffari, A H Ziaie, V B Bezerra, H Moradpour, Mod. Phys. Lett. A 35, 1950341 (2019)
S Ghaffari, H Moradpour, V B Bezerra, J Morais Graaa, I Lobo, Phys. Dark Univ. 23, 100246 (2019)
R D’Agostino, Phys. Rev. D 99, 103524 (2019)
A Y Shaikh, arXiv.2105.04411 [gr-qc] (2021)
R Nagpal, S K J Pacif, J K Singh, K Bamba, A Beesham, Eur. Phys. J. C, 78, 946 (2018)
A Ali et al, Phys. Rev. D 82, 103015 (2010)
M K Sharma et al, Phys. Scr. 97, 085010 (2022)
S J Pourhassan, et al, Eur. Phys. J. C 83, 635 (2023)
M Koussour et al, Class. Quantum Grav. 39 195021 (2022)
U Debnath et al, Modn. Phys. Lett. A. 37, 2250085 (2022)
G K Goswami, A Pradhan, A Beesham, Pramana, 93, 1 (2019)
A K Yadav, A M Alshehri, N Ahmad, G K Goswami, M Kumar, Phys. Dark Univ., 31, 100738 (2021)
H Moradpour et al, Phys. Lett. B 783, 82 (2018)
A Majhi, Phys. Lett. B 775, 32 (2017)
N Komatsu, Eur. Phys. J. C 77, 229 (2017)
V G Czinner, H Iguchi, Phys. Lett. B 752, 306 (2016)
R M Wald, General Relativity (University of Chicago Press, Chicago, IL, 1984)
S M Carroll, M Hoffman and M Trodden, Phys. Rev. D 68, 023509 (2003)
K Lake, Class. Quantum Grav. 21, LI29 (2004)
M Visser, C Barcelo, COSMO-99, 98–112, (2000)
M Li, Phys. Lett. B 603, 1 (2004)
C Tsallis, L J L Citro, Eur. Phys. J. C 73, 2487 (2013)
C Barcelo, M Visser, Int. J. Mod. Phys. D 11, 1553 (2002)
P H R S Moraes, P K Sahoo, Eur. Phys. J. C, 77, 480 (2017)
M Visser, Phys. Rev. D 56, 7578 (1997)
M A H MacCallum, Commun. Math. Phys. 20, 57 (1971)
M Visser, Gen. Relativ.Gravit. 37, 1541 (2005)
D Rapetti, S W Allen, M A Amin and R D Blandford, Mon. Not. R. Astron. Soc. 375, 1510 (2007)
C J Feng, Phys. Lett. B 670, 231 (2008)
A Y Shaikh, B Mishra, Int. J. of Geom. Methods in Mod. Phys., 17, 2050158 (2020)
A Y Shaikh, B Mishra, Commun. Theor. Phys. 73, 025401 (2021)
A Y Shaikh, A S Shaikh, K S Wankhade, Astrophys. Space Sci. 366, 71 (2021)
A Y Shaikh, S V Gore, S D Katore, New Astron. 80, 101420 (2020)
A Y Shaikh, S V Gore, S D Katore, Pramana – J. Phys. 95, 16 (2021)
S Arora, Xin-he Meng, S K J Pacif and P K Sahoo, arXiv:2007.07717v1 (2020)
A Y Shaikh, A S Shaikh, and K S Wankhade, Pramana – J. Phys. 95, 19 (2021)
A Y Shaikh, Eur. Phys. J. Plus. 138, 301 (2023)
A Y Shaikh, Chin. J. Phys., 86, 628 (2023)
Author information
Authors and Affiliations
Contributions
AYS was involved in methodology, data curation, formal analysis, graph plotting, writing—original draft, review and editing.
Corresponding author
Ethics declarations
Conflict of interest
The author declares that I have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Shaikh, A.Y. Late time cosmic acceleration with observational constraints in symmetric teleparallel gravity. Indian J Phys (2024). https://doi.org/10.1007/s12648-024-03151-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12648-024-03151-1