Abstract
In this article, the perfect fluid is introduced for plane symmetric space–time in the framework of teleparallel gravity using hybrid expansion law (HEL). The behaviour of accelerating Universe is discussed by considering the depiction model of f(T) gravity, i.e. \(f(T)=T^{\eta }\). The geometrical and physical parameters of the model are studied. An effective equation of state (EoS) has been investigated in the cosmological evolution with perfect fluid. The basic equations of thermodynamics have been deduced and the thermodynamical aspects of the model have been discussed. Thermodynamic temperature and entropy density of the model are also obtained. The statefinder parameters and jerk parameter analysis are discussed for our obtained model to distinguish our model from other dark energy models.
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References
A G Reiss et al, Astron. J. 116, 1009 (1998)
S Perlmutter et al, Astrophys. J. 517, 565 (1999)
C Fedeli, L Moscardini and M Bertelmann, Astron. Astrophys. 500, 667 (2009)
Z Y Huang, B Wang, E Abdalla and R K Sul, J. Cosmol. Astropart. Phys. 13, 0605 (2006)
R R Caldwell and M Doran, Phys. Rev. D 69, 103517 (2004)
S F Daniel, Phys. Rev. D 77, 103513 (2008)
R Ferraro and F Fiorini, Phys. Rev. D 75, 084031 (2007)
G R Bengochea and R Ferraro, Phys. Rev. D 79, 124019 (2009)
T Harko, F S N Lobo, S Nojiri and S D Odintsov, Phys. Rev. D 84, 024020 (2011)
V F Cardone, H Farajollahi and A Ravanpak, Phys. Rev. D 84, 043527 (2011)
M Jamil, D Momeni, N S Serikbayev and R Myrzakulov, Astrophys. Space Sci. 339, 37 (2012)
M Sharif and S Azeem, Astrophys. Space Sci. 342, 521 (2012)
B Mirza and F Oboudiat, Gen. Relativ. Gravit. 51(7), 96 (2019)
K Bamba et al, J. Cosmol. Astropart. Phys. 1101, 021 (2011)
M Sharif and S Rani, Phys. Scr. 84, 055005 (2011)
T Wang, Phys. Rev. D 84, 024042 (2011)
C Bohmer, A Mussa and N Tamanini, Class. Quantum Grav. 28, 245020 (2011)
E V Linder, Phys. Rev. D 81, 127301 (2010)
K Bamba and C Geng, J. Cosmol. Astropart. Phys. 11, 008 (2011)
M Sharif and Shamaila Rani, Eur. Phys. J. Plus 129, 237 (2014)
M Sharif and Shamaila Rani, Int. J. Theor. Phys. 54, 2524 (2015)
P Wu and H Yu, Phys. Lett. B 692, 176 (2010)
R J Yang, Eur. Phys. J. C 71, 1797 (2011)
U Wu and H Yu, Eur. Phys. J. C 71, 1552 (2011)
K Karami and A Abdolmaleki, Res. Astron. Astrophys. 13, 757 (2013)
K Karami and A Abdolmaleki, J. Phys. Conf. Ser. 375, 032009 (2012)
J B Dent, S Dutta and E N Saridakis, J. Cosmol. Astropart. Phys. 1101, 009 (2011)
B Li, T P Sotiriou and J D Barrow, Phys. Rev. D 83, 064035 (2011)
S H Chen et al, Phys. Rev. D 83, 023508 (2011)
M Sharif and S Rani, Mod. Phys. Lett. A 26, 1657 (2011)
M E Rodrigues, A V Kpadonou, F Rahaman, P J Oliveira and M J S Houndjo, arXiv:1408.2689v1 [gr-qc] (2014)
M Sharif and S Azeem, Commun. Theor. Phys. 61, 482 (2014)
M Jamil and M Yussouf, arXiv:1502.00777v1 [gr-qc] (2015)
G Abbas, A Kanwal and M Zubair, Astrophys. Space Sci. 357, 109 (2015)
P Channuie and D Momeni, arXiv:1712.07927v2 [gr-qc] (2018)
M Khurshudyan, R Myrzakulov and A S Khurshudyan, Mod. Phys. Lett. A 32(18), 1750097 (2017)
M Skugoreva and A V Toporensky, Eur. Phys. J. C 78, 377 (2018)
S Capozziello, G Lambiase and E N Saridakis, Eur. Phys. J. C Part Fields 77(9), 576 (2017)
L Campanelli, P Cea and L Tedesco, Phys. Rev. Lett. 97, 131302 (2006)
L Campanelli, Phys. Rev. D 80, 063006 (2009)
A Gruppo, Phys. Rev. D 76, 083010 (2007)
O Akarsu et al, J. Cosmol. Astropart. Phys. 01, 022 (2014)
L Avile’s et al, J. Phys. Conf. Ser. 70, 012010 (2016)
S Kumar, Gravit. Cosmol. 19, 284 (2013)
A Pradhan and R Jaisaval, Int. J. Geom. Methods Mod. Phys. 15, 1850076 (2018)
C R Mahanta and N Sharma, New Astron. 57, 70 (2017)
A K Yadav et al, Int. J. Theor. Phys. 54, 1671 (2015)
R Zia, D C Maurya and A Pradhan, Int. J. Geom. Methods Mod. Phys. 15, 1850168 (2018)
A K Yadav and V Bhardwaj, Res. Astron. Astrophys. 18, 64 (2016)
B Mishra and S K Tripathi, Mod. Phys. A 30, 1550175 (2015)
U K Sharma et al, J. Astrophys. Astron. 40, 2 (2019)
P H R S Moraes, Astrophys. Space Sci. 352, 273 (2014)
P H R S Moraes, G Ribeiro and R A C Correa, Astrophys. Space Sci. 361, 227 (2016)
P H R S Moraes and P K Sahoo, Eur. Phys. J. C 77, 480 (2017)
K S Thorne, Astrophys. J. 148, 51 (1967)
J Kristian and R K Sachs, Astrophys. J. 143, 379 (1966)
R Kantowski and R K Sachs, J. Math. Phys. 7, 433 (1966)
B Wang, Y Gong and E Abdalla, Phys. Rev. D 74, 083520 (2006)
P A R Ade et al, Astron. Astrophys. 571, 16 (2014)
G F Hinshaw et al, Astrophys. J. Suppl. Ser. 208, 19 (2013)
R K Knop et al, Astrophys. J. 598, 102 (2003)
M Tegmark et al, Phys. Rev. D 69, 103501 (2004)
E Komatsu et al, Astron. Astrophys. Suppl. Ser. 180, 330 (2009)
B Feng, X LWang and X M Zhang, Phys. Lett. B 607, 35 (2015)
J D Bekenstein, Phys. Rev. D 7, 2333 (1973)
S W Hawking, Commun. Math. Phys. 43(3), 199 (1975)
K Karami and A Abdolmaleki, J. Cosmol. Astropart. Phys. 2012(04), 007 (2012)
Y S Myung, arXiv:0812.0618v1 [gr-qc]
M S Singh and S S Singh, Turk. J. Phys. 42, 198 (2018)
V Sahni, T D Saini, A A Starobinsky and U Alam, JETP Lett. 77, 201 (2003)
T Chiba and T Nakamura, Prog. Theor. Phys. 100, 1077 (1998)
R D Blandford, M Amin and E A Baltz, Phys. Lett. B 535, 329 (2004)
M Visser, Class. Quantum Gravity 21, 2603 (2004)
V Sahni, arXiv:astro-ph/0211084 (2002)
A Y Shaikh, A S Shaikh and K S Wankhade, J. Astrophys. Astron. 40, 25 (2019)
S D Katore, K S Adhav, A Y Shaikh and M M Sanchet, Astrophys. Space Sci. 333, 333 (2011)
S D Katore, K S Adhav, A Y Shaikh and N K Sarkate, Int. J. Theor. Phys. 49, 2558 (2010)
S D Katore and A Y Shaikh, Prespacetime J. 3(11),1087 (2012)
S D Katore and A Y Shaikh, Bull. J. Phys. 39, 241 (2012)
S D Katore and A Y Shaikh, Afr. Rev. Phys. 9, 0035 (2014)
S D Katore and A Y Shaikh, Rom. J. Phys. 59(7–8), 715 (2014)
S D Katore and A Y Shaikh, Astrophys. Space Sci. 357(1), 27 (2015)
S D Katore and A Y Shaikh, Bulg. J. Phys. 41, 274 (2015)
S D Katore, A Y Shaikh and S Bhaskar, Bulg. J. Phys. 41(1), 34 (2014)
S D Katore, A Y Shaikh, D V Kapse and S A Bhaskar, Int. J. Theor. Phys. 50, 2644 (2011)
S D Katore and A Y Shaikh, Int. J. Theor. Phys. 51, 1881 (2012)
S D Katore and A Y Shaikh, Afr. Rev. Phys. 7, 0004 (2012)
S D Katore and A Y Shaikh, Afr. Rev. Phys. 7, 0054 (2012)
A Y Shaikh, Adv. Astrophys. 2(3), 155 (2017)
A Y Shaikh and S D Katore, Pramana – J. Phys. 87, 83 (2016)
A Y Shaikh and S D Katore, Pramana – J. Phys. 87: 88 (2016)
A Y Shaikh and K S Wankhad, Phys. Astron. Int. J. 1(4), 00020 (2017)
A Y Shaikh and K S Wankhade, Theor. Phys. 2(1), 34 (2012)
A Y Shaikh, K S Wankhade and S R Bhoya, Int. J. Sci. Res. Sci. Technol. 3(8), 1248 (2017)
S Chakrabarti, J L Said and K Bamba, Eur. Phys. J. C 79, 454 (2019)
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The authors would like to acknowledge their deep sense of gratitude to the anonymous eminent referee whose valuable suggestions have improved the quality of this paper.
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Shaikh, A.Y., Shaikh, A.S. & Wankhade, K.S. Transist dark energy and thermodynamical aspects of the cosmological model in teleparallel gravity . Pramana - J Phys 95, 19 (2021). https://doi.org/10.1007/s12043-020-02047-z
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DOI: https://doi.org/10.1007/s12043-020-02047-z