Abstract
In this paper, we have explored the features of the five-dimensional Bianchi type-I cosmological universe filled with barotropic fluid and dark energy within the framework of Saez-Ballester theory of gravitation. Field equations have been solved by assuming the different functional forms of metric potentials, i.e., \( A=B=C=t^{n}\) and \(D=t^{n_{1}}\). The value of the equation of state parameter and other kinematical parameters have been obtained for both interacting and non-interacting scenarios. The characteristics of physicals parameters are also explained. The obtained results are compatible with the recent observational data.
Similar content being viewed by others
References
A G Riess et al Astron. J. 116 1009 (1998)
S Perlmutter et al Astrophys. J. 517 567 (1999)
E J Copeland, M Sami and S Tsujikawa Int J. Mod. Phys. D 15 1753 (2006)
R R Caldwell, R Dave and P J Steinhardt Phys. Rev. Lett. 80 1582 (1998)
A R Liddle and R J Scherrer Phys. Rev. D 59 023509 (1999)
P J Steinhardt, L Wang and I Zlater Phys. Rev. D 59 123504 (1998)
R Caldwell arXiv preprint astro-ph/9908168 (2002)
C Armendariz-Picon, V Mukhanov and P J Steinhardt Phys. Rev. Lett. 85 4438 (2000)
C Armendariz-Picon, V Mukhanov and P J Steinhardt Phys. Rev. Lett. 63 103510 (2001)
A Sen J. High Energy Phys. 2002 065 (2002)
B Feng, X L Wang and X M Zhang Phys. Lett. B 607 35 (2005)
P J E Peebles and B Ratra Rev. Mod. Phys. 75 2 559 (2003)
S Nojiri and S D Odintsov Phys. Rep. 505 59 (2011)
K Bamba, S Capozziello, S Nojiri and S D Odintsov Astrophy. Spa. Sci. 342 155 (2012)
C H Brans and R H Dicke Phys. Rev. 124 925 (1961)
K Nordtvedt Jr Astrophys. J. 161 1059 (1970)
G A Barber Gen. Relativ. Gravit. 14 117 (1982)
D Saez and V J Ballester Phys. Lett. A. 113 467 (1986)
V U M Rao, M V Santhi and T Vinutha Astrophys. Space Sci. 314 73 (2008)
V U M Rao, G S D Kumari and K V S Sireesha Astrophys. Space Sci. 335 35 (2011)
A Pradhan, A K Singh and H Amirhashchi Int. J. Theor. Phys. 51 3769 (2012)
D R K Reddy, D Bharathi and G V V Lakshmi Astrophys. Space Sci. 351 307 (2014)
R L Naidu, B Satyanarayana and D R K Reddy Int. J. of Theor. Phys. 51 2857 (2012)
H R Ghate and A S Sontakke Int. J. Astron. Astrophys. 2014 (2014)
T Vinutha, V U M Rao, B Getaneh and M Mengesha Astrophys. Space Sci. 363 1 (2018)
A Pradhan and S K Singh Int. J. Mod. Phys. D 13 503 (2004)
B Saha Chin. J. Phys. 43 arXiv preprint gr-qc/0412078 (2004)
J P Singh and R K Tiwari Pramana 70 565 (2008)
KS Adhav Int J. Astron. Astrophys. 1 204 (2011)
K L Mahanta and A K Biswal Rom. J. Phys. 58 239 (2013)
S D Katore and D V Kapse Adv. High Energy Phys. 2018 (2018)
Y Aditya and D R K Reddy Astrophys. Space Sci. 363 1 (2018)
R K Mishra and H Dua Astrophys. Space Sci. 366 1 (2021)
T Kaluza Preuss. Akad. Wiss. Phys. Math. Klasse 966 1921 (1921)
O Klein Z. Phys. 37 895 (1926)
A H Guth Phys. Rev. 23 347 (1981)
F Alvarez and M B Gavela Phys. Rev. Lett. 51 10 931 (1983)
W J Marciano Phys. Rev. Lett. 52 489 (1984)
A Chodos and S Detwelles Phys. Rev. D 21 2167 (1980)
P G O Freund Nucl. Phys. B 209 146 (1982)
T Dereli and R W Tucker Phys. Lett. B 125 133 (1983)
O Akarsu, T Dereli and N Katirci arXiv preprint arXiv:2112.14259 (2021)
E Witten Phys. Lett. B 144 351 (1984)
T Appelquist Modern Kaluza-Klein Theories (Boston: Addison-Wesley) (1987)
S D Katore, K S Adhav, A Y Shaikh and N K Sarkate Int. J. Theor. Phys. 49 2358 (2010)
D R K Reddy, B Satyanarayana and R L Naidu Astrophys. Space Sci. 339 401 (2012)
D R K Reddy and G Ramesh Int. J. Cosmol. Astron. Astrophys. 1 67 (2019)
W Zimdahl and D Pavón Gen. Relat. Gravit. 36 1483 (2004)
J D Barrow and T Clifton Phys. Rev. D 73 103520 (2006)
D R K Reddy and R S Kumar Int. J. of Theor. Phys. 52 1362 (2013)
D R K Reddy, S Anitha and S Umadevi Astrophys. Space Sci. 350 799 (2014)
T Singh and R Chaubey Res. Astron. Astrophys. 12 473 (2012)
T Singh and R Chaubey Can. J. Phys. 91 180 (2013)
H Amirhashchi, A Pradhan and R Jaiswal Int. J. Theor. Phys. 52 2735 (2013)
V Tummala, V U M Rao, M V Santhi, Y Aditya and M M Nigus Prespac. J. 7 (2016)
R K Tiwari, A Beesham and B K Shukla Int. J. Geom. Meth. Mod. Phys. 15 1850189 (2018)
V U M Rao, M V Santhi, T Vinutha and Y Aditya Prespace. J. 7 (2016)
G K Goswami, M Mishra, A K Yadav and A Pradhan Mod Phys. Lett. A 35 2050086 (2020)
O AKarsu and C B Kilinc Gen. Relativ. Gravit. 42 119 (2010)
O AKarsu and C B Kilinc Gen. Relativ. Gravit. 42 763 (2010)
A K Bhabor, M K S Ranawat and G S Rathore JECET 4 572 (2015)
D Pavon and B Wang Gen. Relativ. Gravit. 41 1 (2009)
L Amendola, G C Campos and R Rosenfeld Phys. Rev. D 75 083506 (2007)
Z K Guo, N Ohta and S Tsujikawa Phys. Rev. D 76 023508 (2007)
E Komatsu et al Astrophys. J. Suppl. Ser. 180 330 (2009)
P A R Ade et al Astron. Astrphys. 594 A13 (2016)
P Collaboration et al EDP Sci. 641 A6 (2020)
B Mishra, P K Sahoo and P P Ray Int. J. Geom. Methods Mod. Phys. 14 1750124 (2017)
B Mishra, P P Ray and R Myrzakulov Eur. Phys. J. C 79 1 (2019)
G K Goswami, M Mishra, A K Yadav and A Pradhan Mod. Phys. Lett. A 35 2050086 (2020)
Author information
Authors and Affiliations
Corresponding author
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 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
Trivedi, D., Bhabor, A.K. Higher-dimensional Bianchi type-I dark energy models with barotropic fluid in Saez-Ballester scalar-tensor theory of gravitation. Indian J Phys 97, 1317–1327 (2023). https://doi.org/10.1007/s12648-022-02448-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-022-02448-3