Abstract
In this manuscript, we have researched the cosmic expansion phenomenon in flat FRW Universe through the interaction of the recently proposed Rènyi holographic dark energy (RHDE). For this reason, we assumed Hubble (H) and Granda–Oliveros (GO) horizons as IR cut-off in the framework of f(R, T) gravity. With this choice for IR cut-off, we can obtain some important cosmological quantities such as the equation of state \(\omega _{T}\), energy density \(\rho _{T}\), density parameter \(\Omega _{T}\), and pressure \(p_{T}\), which are the function of the redshift z. It is observed that in both IR cut-offs the EoS parameter displays quintom-like behaviour for three different values of \(\delta \). Here, we plot these parameters versus redshift z and discuss the consistency of the recent findings. Next, we explore the \(\omega _{T}\)–\(\omega _{T}^{\prime }\) plane and the stability analysis of the dark energy model by a perturbation method. Our findings demonstrate that the Universe is an accelerating model of rapid growth that is explained by quintom like behaviour. Hence, the feasibility of the RHDE model with Hubble and GO cut-off is supported by our model. The results indicate that the IR cut-offs play a significant role in the understanding of the dynamics of the universe.
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References
A.G. Riess et al., Astron. J. 116, 1009 (1998)
P.A. Bernardis et al., Nature 404, 955 (2000)
M. Colless et al., Mon. Not. R. Astron. Soc. 328, 1039 (2001)
S. Cole et al., Mon. Not. R. Astron. Soc. 362, 505 (2005)
V. Springel, C.S. Frenk, Nature 440, 1137 (2006)
S. Ade Hanany et al., Astrophys. J. Lett. 545, L5 (2000)
D.N. Spergel et al., Astrophys. J. Suppl. 148, 175 (2003)
M. Roos (Wiley, Chichester, 2003)
S. Nojiri, S.D. Odintsov, Phys. Lett. B 639, 144 (2006)
K. Bamba, S. Capozziello, S. Nojiri, S.D. Odintsov, Astrophys. Space Sci. 342, 155 (2012)
M. Malekjani, T. Naderi, F. Pace, MNRAS 453, 4148 (2015)
M.R. Setare, Phys. Lett. B 644, 99 (2007)
T. Chiba, T. Okabe, M. Yamaguchi, Phys. Rev. D 62, 023511 (2000)
V. Pasquier, U. Moschella, A.Y. Kamenshchick, U. Moschella, V. Pasquier, Phys. Lett. B 511, 265 (2001)
K. Kleidis, N.K. Spyrou, Astron. Astrographys. 576, A23 (2015)
K. Kleidis, N.K. Spyrou, Entropy 18, 94 (2016)
S. Nojiri, S.D. Odintsov, Phys. Lett. B 562, 147 (2003)
S. Weinberg, Rev. Mod. Phys. 61, 1 (1998)
E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006)
M.R. Setare, Chin. Phys. Lett. 26, 029501 (2009)
S.D.H. Hsu, Phys. Lett. B 594, 13 (2004)
M.R. Setare, E.N. Saridakis, Phys. Lett. B 671, 331 (2009)
M. Jamil, E.N. Saridakis, M.R. Setare, Phys. Lett. 679, 172 (2009)
J. Lu, E.N. Saridakis, M.R. Setare, L. Xu, J. Cosmol. Astropart. Phys. 031, 26 (2010)
J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973)
R. Bousso, JHEP 004, 9907 (1999)
A. Cohen, D. Kaplan, A. Nelson, Phys. Rev. Lett. 82, 4971 (1999)
L. Susskind, J. Math. Phys. (N.Y.) 36, 6377 (1994)
D.R.K. Reddy et al., Astrophys. Space Sci. 361, 356 (2016)
Y. Aditya, D.R.K. Reddy, Eur. Phys. J. C 78, 619 (2018)
V.U.M. Rao et al., Results Phys. 10, 469 (2018)
M.V. Santhi et al., Can. J. Phys. 95, 381 (2017)
K.D. Naidu et al., Eur. Phys. J. Plus 133, 303 (2018)
U.K. Sharma, V.C. Dubey, arXiv:2001.02368 (2020)
V.C. Dubey, A.K. Mishra, U.K. Sharma, arXiv:2003.07883 (2020)
U.Y.D. Prasanthi, Y. Aditya, Results Phys. 17, 103101 (2020)
T. Golanbari, K. Saaidi, P. Karimi, arXiv:2002.04097 [astro-ph.CO] (2020)
S. Qolibiklooa, A. Ghodsib, Eur. Phys. J. C 79, 406 (2019)
I.A. Akhlaghi et al., MNRAS 477, 3659 (2018)
S. Ghaffari, New Astron. 67, 76 (2019)
H. Moradpour et al., Eur. Phys. J. C 78, 829 (2018)
A.S. Jahromi et al., Phys. Lett. B 21, 780 (2018)
M. Tavayef, A. Sheykhi, K. Bamba, H. Moradpour, Phys. Lett. B 781, 195 (2018)
C. Tsallis, L.J.L. Cirto, Eur. Phys. J. C 73, 2487 (2013)
M. Younas et al., Adv. High Energy Phys. 2019, 1287932 (2019)
P. Horava, D. Minic, Phys. Rev. Lett. 85, 1610 (2000)
S. Thomas, Phys. Rev. Lett. 89, 081301 (2002)
L.N. Granda, A. Oliveros, Phy. Lett. B 671, 199 (2009)
A. Jawad, K. Bamba, M. Younas, S. Qummer, S. Rani, Symmetry 10, 635 (2018)
A.G. Cohen, D.B. Kaplan, A.E. Nelson, Phys. Rev. Lett. 82, 4971 (1999)
J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973)
S.W. Hawking, Commun. Math. Phys. 43, 199 (1975)
M. Li, X.D. Li, S. Wang, X. Zhang, J. Cosmol. Astropart. Phys. 2009, 036 (2009)
M. Li, X.D. Li,S. Wang, Y. Wang, X. Zhang, J. Cosmol. Astropart. Phys. 2009, 014 (2009)
B. Guberina, R. Horvat, H. Nikolic, J. Cosmol. Astropart. Phys. 2007, 012 (2007)
S. Wang, Y. Wang, M. Li, Phys. Rep. 1, 696 (2017)
B. Wang, E. Abdalla, F. Atrio-Barandela, D. Pavon, Rep. Prog. Phys. 79, 096901 (2016)
K. karami, A. Abdolmaleki, N. Sahraei, S. Ghaffari, JHEP 150, 1108 (2011)
C. Tsallis, Entropy 13, 1765 (2011)
A. Rènyi, Probability Theory (North-Holland, Amsterdam, 1970)
C. Tsallis, J. Stat. Phys. 52, 479 (1988)
S. Nojiri, S.D. Odintsov, E.N. Saridakis, Eur. Phys. J. C 79, 242 (2019)
A. Majhi, Phys. Lett. B 32, 772 (2017)
A.S. Jahromi et al., Phys. Lett. B 780, 21 (2018)
N. Komatsu, Eur. Phys. J. C 77, 229 (2017)
H. Moradpour, A. Bonilla, E.M.C. Abreu, J.A. Neto, Phys. Rev. D 96, 123504 (2017)
H. Moradpour, A. Sheykhi, C. Corda, I.G. Salako, Phys. Lett. B 783, 82 (2018)
H. Moradpour, Int. J. Theor. Phys. 55, 4176 (2016)
H. Moradpour et al., Eur. Phys. J. C 78, 829 (2018)
E.M. Barboza, R.C. Nunes, E.M.C. Abreu, J.A. Neto, Phys. A Stat. Mech. Appl. 436, 301 (2015)
V.G. Czinner, H. Iguchi, Phys. Lett. B 752, 306 (2016)
T. Harko, Phys. Rev. D 81, 044021 (2010)
S. Ram, S.K. Singh, M.K. Verma, Phys. Astron. Int. J 4, 330 (2018)
D.D. Pawar, R.V. Mapari, P.K. Agarwal, J. Astrophys. Astron. 40, 13 (2019)
P.K. Sahoo, P. Sahoo, B.K. Bishi, Int. J. Geom. Method Mod. Phys. 7, 17 (2018)
L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields (Butterworth-Heinemann, Oxford, 1998)
N.J. Poplawski, arXiv:gr-qc/0608031
V. Faraoni, Cosmology in Scalar-Tensor Theory (Kluwer Academis Publishers, London, 2004)
S. Mizuno, S.J. Lee, E.J. Copeland, Phys. Rev. D 70, 043525 (2004) astro-ph/0405490
E.J. Copeland, M.R. Garousi, M. Sami, S. Tsujikawa, Phys. Rev. D 71, 043003 (2005)
R.R. Caldwell, E.V. Linder, Phys. Rev. Lett. 95, 141301–141304 (2005)
S. Bhattacharjee, arxiv:2006.04339v1 [gr-qc] (2020)
L.K. Sharma, B.K. Singh, A.K. Yadav, Int. J. Geom. Method Mod. Phys. 1, 2050111 (2020)
C.M. Chen, W.F. Kao, Phys. Rev. D 64, 124019 (2001)
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The authors are heartily grateful to the anonymous referee for his constructive comments which improved the paper in the present form.
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Dixit, A., Bhardwaj, V.K. & Pradhan, A. RHDE models in FRW Universe with two IR cut-offs with redshift parametrization. Eur. Phys. J. Plus 135, 831 (2020). https://doi.org/10.1140/epjp/s13360-020-00850-6
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DOI: https://doi.org/10.1140/epjp/s13360-020-00850-6