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S. Nojiri, S. D. Odintsov, Phys.Rev. D68 (2003) 123512 [hep-th/0307288]
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S. Nojiri, S. D. Odintsov, Phys.Lett. B657 (2007) 238 [arXiv:0707.1941]; Gen.Rel.Grav. 36 (2004) 1765 [hep-th/0308176]
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2004
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S. Capozziello, V. F. Cardone, A. Troisi, Phys.Rev. D71 (2005) 043503 [astro-ph/0501426]
2005
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S. Nojiri, S. D. Odintsov, Phys.Rev. D74 (2006) 086005 [hep-th/0608008]; S. Nojiri, S.D. Odintsov, D. Saez-Gomez, AIP Conf.Proc. 1458 (2011) 207 [arXiv:1108.0767]; S. Nojiri, S. D. Odintsov, J.Phys.Conf.Ser. 66 (2007) 012005 [hep-th/0611071]; A. de la Cruz-Dombriz, A. Dobado, Phys.Rev. D74 (2006) 087501 [gr-qc/0607118]
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A. Ashtekar, T. Pawlowski, P. Singh, Phys.Rev. D74 (2006) 084003 [gr-qc/0607039]
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M. Sami, P. Singh, Shinji Tsujikawa, Phys.Rev. D74 (2006) 043514
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S. Nojiri, S. D. Odintsov, Int.J.Geom.Meth.Mod.Phys. 11 (2014) 1460006 [arXiv:1306.4426]; Int. J. Geom. Meth. Mod.Phys. 4 (2007) 115 [hep-th/0601213]
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2007
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2007
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V. Faraoni, Phys.Rev. D75 (2007) 067302 [gr-qc/0703044]
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A. Ashtekar, Nuovo Cim. B122 (2007) 135 [gr-qc/0702030]
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2007
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2008
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S. Capozziello, S. Nojiri, S.D. Odintsov, A. Troisi, Phys.Lett. B639 (2006) 135 [astro-ph/0604431]; S. Nojiri, S. D. Odintsov, Phys.Rev. D77 (2008) 026007 [arXiv:0710.1738]
Original
2008
Cited alongside, same era.
O. Bertolami, R. Rosenfeld, Int.J.Mod.Phys. A23 (2008) 4817 [arXiv:0708.1784]
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2008
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A. Capolupo, S. Capozziello, G. Vitiello, Int.J.Mod.Phys. A23 (2008) 4979 [arXiv:0705.0319]
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2008
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S. A. Appleby, R. A. Battye, Phys.Lett.B654 (2007) 7 [arXiv:0705.3199]; S. A. Appleby, R. A. Battye, JCAP 0805 (2008) 019 [arXiv:0803.1081]
Original
2008
Cited alongside, same era.
E.J. Copeland, D.J. Mulryne, N.J. Nunes, M. Shaeri, Phys.Rev. D77 (2008) 023510 [arXiv:0708.1261]

Then

Yi-Fu Cai, Shih-Hung Chen, J. B. Dent, S. Dutta, E. N. Saridakis, Class. Quantum Grav. 28 (2011) 215011 [arXiv:1104.4349]
Original
2011
Later among the works it cites.
X. Zhang, Y. Ma, Phys.Rev.Lett. 106, 171301 (2011) [arXiv:1101.1752]
Original
2011
Later among the works it cites.
V. Mukhanov, Physical foundations of cosmology, Cambridge, UK: Univ. Pr. (2005) 421 p; D. S. Gorbunov, V. A. Rubakov, Introduction to the theory of the early universe: Cosmological perturbations and inflationary theory, Hackensack, USA, World Scientific (2011) 489 p
2011
Later among the works it cites.
E. Elizalde, E.O. Pozdeeva, S.Yu. Vernov, Phys.Rev. D85 (2012) 044002 [arXiv:1110.5806]
Original
2012
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2014

Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity

Odintsov, S. D., Oikonomou, V. K.

Understand

Using the reconstruction method, we investigate which $F(R)$ theories, with or without the presence of matter fluids, can produce the matter bounce scenario of holonomy corrected Loop Quantum Cosmology.

We focus our study in two limits of the cosmic time, the large cosmic time limit and the small cosmic time limit.
For the former, we found that, in the presence of non-interacting and non-relativistic matter, the $F(R)$ gravity that reproduces the late time limit of the matter bounce solution is actually the Einstein-Hilbert gravity plus a power law term.
In the early time limit, since it corresponds to large spacetime curvatures, assuming that the Jordan frame is described by a general metric that when it is conformally transformed to the Einstein frame, produces an accelerating Friedmann-Robertson-Walker metric, we found explicitly the scalar field dependence on time.

Built on

S. Capozziello, V.F. Cardone, S. Carloni, A. Troisi, Int.J.Mod.Phys. D12 (2003) 1969 [astro-ph/0307018]
1969
Earlier work this paper cites.
A. A. Starobinsky, Phys.Lett. B91 (1980) 99
1980
Earlier work this paper cites.
D. I. Kaiser, Phys.Lett. B340 (1994) 23 [astro-ph/9405029]; D. I. Kaiser, Phys.Rev. D52 (1995) 4295 [astro-ph/9408044]
1995
Earlier work this paper cites.
A.G. Riess et al. (High-z Supernova Search Team), Astronom. J. 116, 1009 (1998) [arXiv:astro-ph/9805201]
1998
Earlier work this paper cites.
S. M. Carroll, V. Duvvuri, M. Trodden, M. S. Turner, Phys.Rev. D70 (2004) 043528 [astro-ph/0306438]; S. Capozziello, Int.J.Mod.Phys.D11, 483 (2002) [gr-qc/0201033]
2002
Earlier work this paper cites.
V. Faraoni, Int.J.Mod.Phys. D11 (2002) 471 [astro-ph/0110067]; V.K. Onemli, R.P. Woodard, Class.Quant.Grav. 19 (2002) 4607 [gr-qc/0204065]
2002
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov, Phys.Rev. D68 (2003) 123512 [hep-th/0307288]
2003
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov, Phys.Lett. B657 (2007) 238 [arXiv:0707.1941]; Gen.Rel.Grav. 36 (2004) 1765 [hep-th/0308176]
Original
2004
Earlier work this paper cites.
J. Khoury, A. Weltman, Phys. Rev. D69, 044026 (2004) [astro-ph/0309411 ]
2004
Earlier work this paper cites.
S. Capozziello, V. F. Cardone, A. Troisi, Phys.Rev. D71 (2005) 043503 [astro-ph/0501426]
2005
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov, Phys.Rev. D74 (2006) 086005 [hep-th/0608008]; S. Nojiri, S.D. Odintsov, D. Saez-Gomez, AIP Conf.Proc. 1458 (2011) 207 [arXiv:1108.0767]; S. Nojiri, S. D. Odintsov, J.Phys.Conf.Ser. 66 (2007) 012005 [hep-th/0611071]; A. de la Cruz-Dombriz, A. Dobado, Phys.Rev. D74 (2006) 087501 [gr-qc/0607118]
Original
2006
Earlier work this paper cites.
P. Singh, K. Vandersloot, G.V. Vereshchagin, Phys.Rev. D74 (2006) 043510 [gr-qc/0606032]
2006
Earlier work this paper cites.
A. Ashtekar, T. Pawlowski, P. Singh, Phys.Rev. D74 (2006) 084003 [gr-qc/0607039]
2006
Earlier work this paper cites.
M. Sami, P. Singh, Shinji Tsujikawa, Phys.Rev. D74 (2006) 043514
2006
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov, Int.J.Geom.Meth.Mod.Phys. 11 (2014) 1460006 [arXiv:1306.4426]; Int. J. Geom. Meth. Mod.Phys. 4 (2007) 115 [hep-th/0601213]
Original
2007
Earlier work this paper cites.
W. Hu, I. Sawicki, Phys.Rev.D76 (2007) 064004 [arXiv:0705.1158]
Original
2007
Earlier work this paper cites.
J. C.C. de Souza, Valerio Faraoni, Class.Quant.Grav. 24 (2007) 3637 [arXiv:0706.1223]; V. Faraoni, Phys.Rev. D74 (2006) 104017 [astro-ph/0610734];G. J. Olmo, Phys.Rev.Lett. 95 (2005) 261102 [gr-qc/0505101]; G. J. Olmo, Phys.Rev. D75 (2007) 023511 [gr-qc/0612047]
Original
2007
Earlier work this paper cites.
V. Faraoni, Phys.Rev. D75 (2007) 067302 [gr-qc/0703044]
2007
Earlier work this paper cites.
A. Ashtekar, Nuovo Cim. B122 (2007) 135 [gr-qc/0702030]
2007
Earlier work this paper cites.
D. Samart, B. Gumjudpai, Phys.Rev. D76 (2007) 043514 [gr-qc/0605113]
2007
Earlier work this paper cites.
T. Naskar, J. Ward, Phys.Rev. D76 (2007) 063514 [arXiv:0704.3606 ]
Original
2007
Earlier work this paper cites.
A. H. Guth, Phys.Rept. 333 (2000) 555 [astro-ph/0002156]; A. H. Guth, J.Phys. A40 (2007) 6811 [hep-th/0702178]
2007
Earlier work this paper cites.
K. Bamba, S. Nojiri, S. D. Odintsov, JCAP 0810 (2008) 045 [arXiv:0807.2575]
Original
2008
Earlier work this paper cites.

Similar

S. Capozziello, S. Nojiri, S.D. Odintsov, A. Troisi, Phys.Lett. B639 (2006) 135 [astro-ph/0604431]; S. Nojiri, S. D. Odintsov, Phys.Rev. D77 (2008) 026007 [arXiv:0710.1738]
Original
2008
Cited alongside, same era.
O. Bertolami, R. Rosenfeld, Int.J.Mod.Phys. A23 (2008) 4817 [arXiv:0708.1784]
Original
2008
Cited alongside, same era.
A. Capolupo, S. Capozziello, G. Vitiello, Int.J.Mod.Phys. A23 (2008) 4979 [arXiv:0705.0319]
Original
2008
Cited alongside, same era.
S. A. Appleby, R. A. Battye, Phys.Lett.B654 (2007) 7 [arXiv:0705.3199]; S. A. Appleby, R. A. Battye, JCAP 0805 (2008) 019 [arXiv:0803.1081]
Original
2008
Cited alongside, same era.
E.J. Copeland, D.J. Mulryne, N.J. Nunes, M. Shaeri, Phys.Rev. D77 (2008) 023510 [arXiv:0708.1261]

Then

Yi-Fu Cai, Shih-Hung Chen, J. B. Dent, S. Dutta, E. N. Saridakis, Class. Quantum Grav. 28 (2011) 215011 [arXiv:1104.4349]
Original
2011
Later among the works it cites.
X. Zhang, Y. Ma, Phys.Rev.Lett. 106, 171301 (2011) [arXiv:1101.1752]
Original
2011
Later among the works it cites.
V. Mukhanov, Physical foundations of cosmology, Cambridge, UK: Univ. Pr. (2005) 421 p; D. S. Gorbunov, V. A. Rubakov, Introduction to the theory of the early universe: Cosmological perturbations and inflationary theory, Hackensack, USA, World Scientific (2011) 489 p
2011
Later among the works it cites.
E. Elizalde, E.O. Pozdeeva, S.Yu. Vernov, Phys.Rev. D85 (2012) 044002 [arXiv:1110.5806]
Original
2012
Later among the works it cites.

Beyond the bibliography

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Original

2008

Cited alongside, same era.

A. de la Cruz-Dombriz, D. Saez-Gomez, Entropy 14 (2012) 1717 [arXiv:1207.2663]; F. S. N. Lobo, Dark Energy-Current Advances and Ideas, 173-204 (2009) [arXiv:0807.1640]

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2009

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S. Nojiri, S. D. Odintsov, D. Saez-Gomez, Phys.Lett. B681 (2009) 74 [arXiv:0908.1269]

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2009

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A. Silvestri, M. Trodden, Rept. Prog. Phys. 72 (2009) 096901 [arXiv:0904.0024]

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2009

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A. Corichi, P. Singh, Phys.Rev. D80 (2009) 044024 [arXiv:0905.4949]

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P. Singh, Class.Quant.Grav. 26 (2009) 125005 [arXiv:0901.2750]

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M. Bojowald, Class.Quant.Grav. 26 (2009) 075020 [arXiv:0811.4129]

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2009

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P. Singh, Class.Quant.Grav. 26 (2009) 125005 [arXiv:0901.2750]

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2009

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T. Padmanabhan, Phys.Rept. 380 (2003) 235 [hep-th/0212290]; K. Bamba, S. Capozziello, S. Nojiri, S. D. Odintsov, Astrophys. Space Sci. 342, 155 (2012) [arXiv:1205.3421]

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2012

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T. Cailleteau, J. Mielczarek, A. Barrau, J. Grain, Class.Quant.Grav. 29 (2012) 095010 [arXiv:1111.3535 ]

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2012

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T. Cailleteau, A. Barrau, J. Grain, F. Vidotto, Phys.Rev. D86 (2012) 087301 [arXiv:1206.6736]

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T. Cailleteau, A. Barrau, J. Grain, F. Vidotto, Phys.Rev. D86 (2012) 087301 [arXiv:1206.6736]