Abstract.
Making use of the quantum theory of gravity in fractal geometry (FG) and considering a flat Friedmann-Robertson-Walker (FRW)-type universe containing dark matter interacting with dark energy, we investigate how the quantum and fractal contributions affect the dynamics of logarithmic-corrected Ricci dark energy (LCRDE) and modified Chaplygin gas (MCG).
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References
Supernovae Search Team Collaboration (Adam G. Riess et al.), Astron. J. 116, 1009 (1998)
Supernovae Cosmology Project Collaboration (S. Perlmutter et al.), Astrophys. J. 517, 565 (1999)
Boomerang Collaboration (P. de Bernardis et al.), Nature 404, 955 (2000)
Supernovae Cosmology Project Collaboration (R.A. Knop et al.), Astrophys. J. 598, 102 (2003)
Planck Collaboration (P.A.R. Ade et al.), Astron. Astrophys. 571, A16 (2014)
R.R. Caldwell, M. Doran, Phys. Rev. D 69, 103517 (2004)
Z.Y. Huang et al., JCAP 05, 013 (2006)
Y.Y. Keum, Mod. Phys. Lett. A 22, 2131 (2007)
T. Koivisto, D.F. Mota, Phys. Rev. D 73, 083502 (2006)
S.F. Daniel, Phys. Rev. D 77, 103513 (2008)
C. Fedeli et al., Astron. Astrophys. 500, 667 (2009)
G. Calcagni, Phys. Rev. Lett. 104, 251301 (2010)
G. Calcagni, JHEP 03, 120 (2010)
A.A. Aly, M.M. Selim, Eur. Phys. J. Plus 130, 164 (2015)
WMAP Collaboration (E. Komatsu et al.), Astrophys. J. Suppl. 192, 18 (2011)
WMAP Collaboration (G. Hinshaw et al.), Astrophys. J. Suppl. 208, 19 (2013)
M. Abramowitz, I.A. Stegun (Editors), Confluent Hypergeometric Functions, in Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, 9th printing (Dover, New York, 1972) chapt. 13, pp. 503--515
I. Acikgoz, F. Binbay, M. Salti, O. Aydogdu, Eur. Phys. J. Plus 131, 157 (2016)
S. Nojiri, S.D. Odintsov, Phys. Lett. B 562, 147 (2003)
S. Nojiri, S.D. Odintsov, Phys. Lett. B 565, 1 (2003)
Z.G. Huang, H.Q. Lu, W. Fang, Class. Quantum Grav. 23, 6215 (2006)
A. Sen, JHEP 07, 065 (2002)
T. Padmanabhan, Phys. Rev. D 66, 021301 (2002)
C. Armendariz-Picon, V.F. Mukhanov, P.J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000)
C. Armendariz-Picon, V.F. Mukhanov, P.J. Steinhardt, Phys. Rev. D 63, 103510 (2001)
N. Arkani-Hamed et al., JHEP 05, 074 (2004)
P. Piazza, S. Tsujikawa, JCAP 07, 004 (2004)
Z.K. Guo et al., Phys. Lett. B 608, 177 (2005)
X. Zhang, Commun. Theor. Phys. 44, 762 (2005)
M.R. Setare, Phys. Lett. B 641, 130 (2006)
E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006)
M.R. Setare, Eur. Phys. J. C 50, 991 (2007)
M.R. Setare, Eur. Phys. Lett. B 654, 1 (2007)
M.R. Setare, Int. J. Mod. Phys. D 17, 2219 (2008)
L.N. Granda, A. Oliveros, Phys. Lett. B 671, 199 (2009)
E. Ebrahimi, A. Sheykhi, Phys. Scr. 04, 045016 (2011)
M. Sharif, A. Jawad, Eur. Phys. J. C 72, 2097 (2012)
A.Yu. Kamenshchik, U. Moschella, V. Pasquier, Phys. Lett. B 511, 265 (2001)
M.C. Bento, O. Bertolami, A.A. Sen, Phys. Rev. D 66, 043507 (2002)
L.P. Chimento, Phys. Rev. D 69, 123517 (2004)
X.-M. Deng, Braz. J. Phys. 41, 333 (2011)
J. Bhadra, U. Debnath, Eur. Phys. J. Plus 127, 30 (2012)
B. Pourhassan, Int. J. Mod. Phys. D 22, 1350061 (2013)
B. Pourhassan, E.O. Kahya, Adv. High Energy Phys. 2014, 231452 (2014)
B. Pourhassan, E.O. Kahya, Phys. Dark Univ. 13, 132 (2016)
W. Fischler, L. Susskind, Holography and Cosmology (SU-ITP-98-39, UTTG-06-98) hep-th/9806039
Q.G. Huang, M. Li, JCAP 08, 013 (2004)
Y. Gong, Phys. Rev. D 70, 064029 (2004)
B. Wang, Y. Gon, E. Abdalla, Astrophys. J. 624, 141 (2005)
B. Guberina, R. Horvat, H. Stefancic, J. Cosmol. Astropart. Phys. 5, 1 (2005)
H.C. Kao, W.L. Lee, F.L. Lin, Phys. Rev. D 71, 123518 (2005)
K. Enqvist, S. Hannestad, M.S. Sloth, J. Cosmol. Astropart. Phys. 2, 4 (2005)
X. Zhang, F.W. Wu, Phys. Rev. D 76, 023502 (2007)
C. Feng, B. Wang, Y. Gong, R.-K. Su, J. Cosmol. Astropart. Phys. 9, 5 (2007)
C. Gao, F. Wu, X. Chen, Y.-G. Shen, Phys. Rev. D 79, 043511 (2009)
S.M.R. Micheletti, J. Cosmol. Astropart. Phys. 4, 9 (2010)
M. Li, Phys. Lett. B 603, 1 (2004)
L. Xu, J. Lu, W. Li, Eur. Phys. J. C 64, 89 (2009)
H. Wei, Commun. Theor. Phys. 52, 743 (2009)
M. Jamil, E.N. Saridakis, M.R. Setare, Phys. Rev. D 81, 023007 (2010)
C. Wetterich, Astron. Astrophys. 301, 321 (1995)
L. Amendola, Phys. Rev. D 60, 043501 (1999)
X. Zhang, Mod. Phys. Lett. A 20, 2575 (2005)
T. Gonzalez, G. Leon, I. Quiros, Class. Quantum Grav. 23, 3165 (2006)
O. Bertolami, F. Gil Pedro, M. Le Delliou, Phys. Lett. B 654, 165 (2007)
M. Jamil, M.A. Rashid, Eur. Phys. J. C 58, 111 (2008)
J. Sola, H. Stefancic, Phys. Lett. B 624, 147 (2005)
I.L. Shapiro, J. Sola, Phys. Lett. B 682, 105 (2009)
J. Grande, J. Sola, H. Stefancic, JCAP 08, 011 (2006)
C.-Y. Sun, R.-H. Yue, Phys. Rev. D 85, 043010 (2012)
M. Sharif, A. Jawad, Astrophys. Space Sci. 337, 789 (2012)
L. Amendola, D. Tocchini-Valetini, Phys. Rev. D 64, 043509 (2001)
M.R. Setare, M. Jamil, Phys. Lett. B 690, 1 (2010)
L. Amendola, G.C. Campos, R. Rosenfeld, Phys. Rev. D 75, 083506 (2007)
D. Pavón, B. Wang, Gen. Relativ. Gravit. 41, 1 (2009)
H. Zhang, Z.H. Zhu, Phys. Rev. D 73, 043518 (2006)
K. Ichiki, Y.Y. Keum, J. Cosmol. Astropart. Phys. 6, 5 (2008)
A.G. Riess et al., Astron. J. 116, 1009 (1998)
S. Perlmutter et al., Astrophys. J. 517, 565 (1999)
P. de Berbardis, Nature 404, 955 (2000)
M. Li, X.D. Li, S. Wang, X. Zhang, JCAP 06, 036 (2009)
A. Pasqua, A. Khodam-Mohammadi, M. Jamil, R. Myrzakulov, Astrophys. Space Sci. 340, 199 (2012)
V. Sahni, T.D. Saini, A.A. Starobinsk, U. Alam, JETP Lett. 77, 201 (2003)
U. Debnath, M. Jamil, Astrophys. Space Sci. 335, 545 (2011)
L. Amendola, S. Tsujikawa, Dark Energy Theory and Observation (Cambridge, 2010)
Wolfram Research Inc., Wolfram Mathematica 8.0 (2010)
S.S. e Costa, gr-qc/0802.4448
K. Karami, M.S. Khaledian, N. Abdollahi, EPL 98, 30010 (2012)
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Salti, M., Yanar, H., Aydogdu, O. et al. Logarithmic-corrected Ricci and modified Chaplygin gas dark energy models in fractal framework. Eur. Phys. J. Plus 132, 225 (2017). https://doi.org/10.1140/epjp/i2017-11545-2
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DOI: https://doi.org/10.1140/epjp/i2017-11545-2