Abstract
We analyze a universe filled with interacting dark matter, a scalar field accommodated as dark radiation along with dark energy plus a decoupled radiation term within the framework of the spatially flat Friedmann–Robertson–Walker (FRW) spacetime. We work in a three-dimensional internal space spanned by the interaction vector and use a transversal interaction Q t for solving the source equation in order to find all the interacting component energy densities. We asymptotically reconstruct the scalar field and potential from an early radiation era to the late dominate dark energy one, passing through an intermediate epoch dominated by dark matter. We apply the χ 2 method to the updated observational Hubble data for constraining the cosmic parameters, contrast with the Union 2 sample of supernovae, and analyze the amount of dark energy in the radiation era. It turns out that our model fulfills the severe bound of Ω ϕ (z≃1100)<0.018 at 2σ level, is consistent with the recent analysis that includes cosmic microwave background anisotropy measurements from the Atacama Cosmology Telescope and the South Pole Telescope along with the future constraints achievable by Planck and CMBPol experiments, and satisfies the stringent bound Ω ϕ (z≃1010)<0.04 at 2σ level in the big-bang nucleosynthesis epoch.
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References
Y. Wang, Dark Energy (Wiley-VCH, Berlin, 2010). ISBN 978-3-527-40941-9
P. Ruiz-Lapuente (ed.), Dark Energy: Observational and Theoretical Approaches (Cambridge University Press, Cambridge, 2010)
A.G. Riess et al., Astron. J. 116, 1009 (1998)
S. Perlmutter et al., Astrophys. J. 517, 565 (1999)
A.G. Riess et al., Astrophys. J. 607, 665 (2004)
D.N. Spergel et al., Astrophys. J. Suppl. Ser. 170, 377 (2007)
M. Tegmark et al., Phys. Rev. D 69, 103501 (2004)
E. Jullo, P. Natarajan, J.P. Kneib, A. d’Aloisio, M. Limousin, J. Richard, C. Schimd, Science 329(5994), 924–927 (2010). arXiv:1008.4802
D. Clowe et al., Astrophys. J. Lett. 648, L109 (2006)
M. Bradac et al., Astrophys. J. 687, 959 (2008)
R.W. Schnee, arXiv:1101.5205
F. Zwicky, Helv. Phys. Acta 6, 110 (1933)
L.P. Chimento, Phys. Rev. D 81, 043525 (2010)
L.P. Chimento, M.G. Richarte, Phys. Rev. D 86, 103501 (2012)
N. Cruz, S. Lepe, F. Pena, Phys. Lett. B 663, 338 (2008)
M. Jamil, E.N. Saridakis, M.R. Setare, Phys. Rev. D 81, 023007 (2010)
S. Chen, J. Jing, Class. Quantum Gravity 26, 155006 (2009)
M. Jamil, D. Momeni, M.A. Rashid, arXiv:1107.1558v2
N. Cruz, S. Lepe, F. Pena, Phys. Lett. B 699, 135 (2011)
M. Jamil, F. Rahaman, Eur. Phys. J. C 64, 97–105 (2009)
L.P. Chimento, M.G. Richarte, Phys. Rev. D 84, 123507 (2011)
L.P. Chimento, M.G. Richarte, Phys. Rev. D 85, 127301 (2012)
K. Liao, Z. Li, J. Ming, Z.-H. Zhu, Phys. Lett. B 718, 1166–1170 (2013)
O. Farooq, B. Ratra, arXiv:1301.5243
O. Farooq, B. Ratra, arXiv:1211.4253
M. Moresco, L. Verde, L. Pozzetti, R. Jimenez, A. Cimatti, J. Cosmol. Astropart. Phys. 1207, 053 (2012)
A. Nunes, J.P. Mimoso, T.C. Charters, Phys. Rev. D 63, 083506 (2001)
V. Pettorino, L. Amendola, C. Baccigalupi, C. Quercellini, Phys. Rev. D 86, 103507 (2012)
S. Kumar, S. Panda, A.A. Sen, arXiv:1302.1331
L. Amendola, M. Baldi, C. Wetterich, Phys. Rev. D 78, 023015 (2008)
J. Simon, L. Verde, R. Jimenez, Phys. Rev. D 71, 123001 (2005). astro-ph/0412269
L. Samushia, B. Ratra, Astrophys. J. 650, L5 (2006)
D. Stern et al., arXiv:0907.3149
W.H. Press et al., Numerical Recipes in C (Cambridge University Press, Cambridge, 1997)
A.G. Riess et al., Astrophys. J. 699, 539 (2009). arXiv:0905.0695
J. Dunkley et al., Astrophys. J. 739, 52 (2011). arXiv:1009.0866
G. Chen, B. Ratra, Publ. Astron. Soc. Pac. 123, 1127 (2011). arXiv:1105.5206
E. Calabrese, M. Archidiacono, A. Melchiorri, B. Ratra, arXiv:1205.6753
E. Komatsu, et al., arXiv:1001.4538 [astro-ph.CO]
R. Giostri, M. Vargas dos Santos, I. Waga, R.R.R. Reis, M.O. Calvão, B.L. Lago, arXiv:1203.3213
L.P. Chimento, M. Forte, R. Lazkoz, M.G. Richarte, Phys. Rev. D 79, 043502 (2009)
E. Calabrese, D. Huterer, E.V. Linder, A. Melchiorri, L. Pagano, Phys. Rev. D 83, 123504 (2011)
E. Calabrese, R. de Putter, D. Huterer, E.V. Linder, A. Melchiorri, Phys. Rev. D 83, 023011 (2011)
V. Pettorino, L. Amendola, C. Wetterich, arXiv:1301.5279
C.L. Reichardt, R. de Putter, O. Zahn, Z. Hou, arXiv:1110.5328
Z. Hou et al., arXiv:1212.6267
E. Di Valentino, S. Galli, M. Lattanzi, A. Melchiorri, P. Natoli, L. Pagano, N. Said, arXiv:1301.7343
M. Archidiacono, E. Giusarma, A. Melchiorri, O. Mena, arXiv:1303.0143
E. Calabrese et al., arXiv:1302.1841
J. Lu, L. Xu, M. Liu, Phys. Lett. B 699, 246 (2011)
M.I. Forte, M.G. Richarte, arXiv:1206.1073
L.P. Chimento, M.I. Forte, M.G. Richarte, arXiv:1206.0179
L.P. Chimento, M. Forte, M.G. Richarte, arXiv:1106.0781
L.P. Chimento, M.G. Richarte, arXiv:1207.1121
J.A.S. Lima, J.F. Jesus, R.C. Santos, M.S.S. Gill, arXiv:1205.4688
L.P. Chimento, M.G. Richarte, arXiv:1303.3356
L.P. Chimento, M.I. Forte, M.G. Richarte, arXiv:1301.2737
L.P. Chimento, M.I. Forte, M.G. Richarte, arXiv:1106.0781
R.H. Cyburt, B.D. Fields, K.A. Olive, E. Skillman, Astropart. Phys. 23, 313 (2005)
E.L. Wright, Astrophys. J. 664, 633–639 (2007)
C.M. Muller, Phys. Rev. D 71, 047302 (2005)
E. Calabrese, M. Migliaccio, L. Pagano, G. De Troia, A. Melchiorri, P. Natoli, Phys. Rev. D 80, 063539 (2009)
S. DeDeo, Phys. Rev. D 73, 043520 (2006)
G. Kremer, Gen. Relativ. Gravit. 39, 965–972 (2007)
D.S. Sivia, J. Skilling, Data Analysis: A Bayesian Tutorial (Oxford University Press, London, 2006)
R. Amanullah et al., Astrophys. J. 716, 712 (2010)
P.A.R. Ade et al., arXiv:1303.5076v1
G. Hinshaw et al., arXiv:1212.5226v3
A.G. Riess, L. Macri, S. Casertano et al., arXiv:1103.2976
W.L. Freedman, B.F. Madore, B.K. Gibson, arXiv:astro-ph/0012376
Z. Keresztes, L.A. Gergely, A.Y. Kamenshchik, V. Gorini, D. Polarski, arXiv:1304.6355
Acknowledgements
We are grateful to the referee for his careful reading of the manuscript and for making useful suggestions, which helped to improve the article. L.P.C. thanks the University of Buenos Aires under Project No. 20020100100147 and the Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) under Project PIP 114-200801-00328 for the partial support of this work during their different stages. M.G.R. is partially supported by Postdoctoral Fellowship program of CONICET.
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Chimento, L.P., Richarte, M.G. Nonbaryonic dark matter and scalar field coupled with a transversal interaction plus decoupled radiation. Eur. Phys. J. C 73, 2497 (2013). https://doi.org/10.1140/epjc/s10052-013-2497-4
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DOI: https://doi.org/10.1140/epjc/s10052-013-2497-4