Abstract
Loop quantum cosmology is considered in the inflation era. A slow roll scalar field solution with power law potential is presented in the neighborhood of the transition time, i.e. when the universe enters inflation phase from super-inflation. The compatibility of the model with Planck 2013 data is discussed. The domain of validity of the second and the generalized second laws of thermodynamics for this solution and some other examples is studied.
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References
A. Ashtekar, M. Bojowald, J. Lewandowski, Adv. Theor. Math. Phys. 7, 233 (2003)
A. Ashtekar, Gen. Relativ. Gravit. 41, 741 (2009)
A. Ashtekar, Nuovo Cimento B 122, 135 (2007). arXiv:gr-qc/0702030
E.J. Copeland, D.J. Mulryne, N.J. Nunes, M. Shaeri, Phys. Rev. D 77, 023510 (2008)
G.M. Hossain, Class. Quantum Gravity 22, 2511 (2005)
G. Calcagni, M. Cortes, Class. Quantum Gravity 24, 829 (2007)
D.J. Mulryne, N.J. Nunes, Phys. Rev. D 74, 083507 (2006)
Y.S. Piao, Y.Z. Zhang, Phys. Rev. D 70, 063513 (2004)
A. Linde, Particle Physics and Inflationary Cosmology (Harwood, Chur, 1990)
A. Linde, Phys. Lett. B 129, 177 (1983)
A. Ashtekar, D. Sloan, Phys. Lett. B 694, 108 (2010)
T. Jacobson, Phys. Rev. Lett. 75, 1260 (1995)
R.G. Cai, S.P. Kim, J. High Energy Phys. 02, 050 (2005)
R.X. Miao, M. Li, Y.G. Miao, J. Cosmol. Astropart. Phys. 11, 033 (2011)
Sh.F. Wu, B. Wang, G.H. Yang, P.M. Zhang, Class. Quantum Gravity 25, 235018 (2008)
K. Bamba, M. Jamil, D. Momeni, R. Myrzakulov. arXiv:1202.6114v1 [physics.gen-ph]
V. Faraoni. arXiv:1005.2327v1 [gr-qc]
A. Ashtekar, E. Wilson-Ewing, Phys. Rev. D 78, 064047 (2008)
K. Karami, A. Abdolmaleki, N. Sahraei, S. Ghaffari, J. High Energy Phys. 1108, 150 (2011)
H.M. Sadjadi, Phys. Scr. 05, 055006 (2011)
H.M. Sadjadi, M. Jamil, Europhys. Lett. 92, 69001 (2010)
V. Faraoni, A.F.Z. Moreno, R. Nandra. arXiv:1202.0719v1 [gr-qc]
K. Karami, M.S. Khaledian, N. Abdollahi. arXiv:1201.4817v4 [physics.gen-ph]
H.M. Sadjadi, Europhys. Lett. 92, 50014 (2010)
U. Debnath, Europhys. Lett. 94, 29001 (2011)
V. Faraoni, Phys. Rev. D 80, 044013 (2009)
M. Akbar, Int. J. Theor. Phys. 48, 2665 (2009)
A. Das, S. Chattopadhyay, U. Debnath, Found. Phys. 42, 266 (2011)
Y. Zhang, Y. Gong, Z.H. Zhu, Int. J. Mod. Phys. 20, 1505 (2011)
H.M. Sadjadi, M. Honardoost, Phys. Lett. B 647, 231 (2007)
Z.G. Liu, Y.S. Piao. arXiv:1203.4901 [gr-qc]
Y.S. Piao, E. Zhou, Phys. Rev. D 68, 083515 (2003)
P.C.W. Davies, Class. Quantum Gravity 4, L255 (1987)
P.C.W. Davies, Class. Quantum Gravity 5, 1349 (1988)
D. Pavon, Class. Quantum Gravity 7, 487 (1990)
R. Brustein, Phys. Rev. Lett. 84, 2072 (2000)
T.M. Davis, P.C.W. Davies, C.H. Lineweaver, Class. Quantum Gravity 20, 2753 (2003)
K. Bamba, R. Myrzakulov, S. Nojiri, S.D. Odintsov. arXiv:1202.4057v3 [physics.gen-ph]
G. Izquierdo, D. Pavon, Phys. Lett. B 639, 1 (2006)
M.D. Pollock, T.P. Singh, Class. Quantum Gravity 6, 901 (1989)
S. Nojiri, S.D. Odintsov, Phys. Rev. D 72, 023003 (2005)
H. Farajollahi, A. Salehi, F. Tayebi, Can. J. Phys. 89, 915 (2011)
S. Nojiri, S.D. Odintsov, Phys. Rev. D 70, 103522 (2004)
K.A. Meissner, Class. Quantum Gravity 21, 5245 (2004)
A. Ghosh, P. Mitra, Phys. Rev. D 71, 027502 (2005)
D. Sloan, Loop quantum cosmology and the early universe. PhD Thesis, The Pennsylvania State University (2010)
X. Zhang, Y. Ling, J. Cosmol. Astropart. Phys. 08, 012 (2007). arXiv:0705.2656v2 [gr-qc]
E.W. Ewing, J. Cosmol. Astropart. Phys. 1303, 026 (2013). arXiv:1211.6269 [gr-qc]
M. Bojowald, Living Rev. Relativ. 8, 11 (2005)
M. Bojowald, F. Hinterleitner, Phys. Rev. D 66(104003), 104003 (2002)
A. Ashtekar, D. Sloan, Gen. Relativ. Gravit. 43, 3619 (2011)
H.M. Sadjadi, M. Alimohammadi, Phys. Rev. D 74, 043506 (2006)
E. Komatsu et al., Astrophys. J. Suppl. 192, 18 (2011). arXiv:1001.4538 [astro-ph.CO]
P.A.R. Ade et al., Planck 2013 results. XVI (2013). arXiv:1303.5076 [astro-ph]
P.A.R. Ade et al., Planck 2013 results. I (2013). arXiv:1303.5062 [astro-ph]
S. Hod, Class. Quantum Gravity 21, L97 (2004)
R.G. Cai, S.P. Kim, J. High Energy Phys. 0502, 050 (2005)
S.K. Modak, D. Singleton. arXiv:1205.3404v1 [gr-qc]
A. Ashtekar, E. Wilson-Ewing, Phys. Rev. D 78, 064047 (2008)
G. Izquierdo, D. Pavon, Phys. Lett. B 633, 420 (2006)
H. Mohseni Sadjadi, Phys. Rev. D 73, 063525 (2006)
H. Mohseni Sadjadi, Europhys. Lett. 92, 50014 (2010)
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Sadjadi, H.M. On solutions of loop quantum cosmology. Eur. Phys. J. C 73, 2571 (2013). https://doi.org/10.1140/epjc/s10052-013-2571-y
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DOI: https://doi.org/10.1140/epjc/s10052-013-2571-y