Abstract
We describe in this paper the observables of inflationary models, in particular the spectrum index of torsion scalar perturbations, the tensor-to-scalar ratio, and the running of the spectral index, in the framework of perfect fluid models and \(F(T)\) gravity theories through the reconstruction methods. Then, our results on the perfect fluid and \(F(T)\) gravity theories of inflation are compared with recent cosmological observations such as the Planck satellite and BICEP2 experiment. Our studies prove that the perfect fluid and \(F(T)\) gravity models can reproduce the inflationary Universe consistent above all with the Planck data. We have reconstructed several models and considered others which give the best fit values compatible with the spectral index of curvature perturbations, the tensor-to-scalar ratio, and the running of the spectral index within the allowed ranges suggested by the Planck and BICEP2 results. By taking the trace-anomaly into consideration, we have shown that the reconstructed models \(F(T)\) can not describe a finite de Sitter inflation without an additional constant \(n\) that we related to cosmological constant.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Notes
See Nottale (2008) for the valor of cosmological constant \(\varLambda \). Taking into consideration the expression of \(\tilde{b}'<0\) in Bamba et al. (2014a), we neglect the higher-derivative conformal scalars, spinors, vector fields, gravitons and we have in our case \(N=1\) (one scalar is used) so \(\tilde{b}'=-\frac{1}{360(4\pi )^{2}}\simeq -1.759\times 10^{-5}\). We also calculate \(\kappa^{2}=\frac{8\pi G}{c^{2}}\simeq 1.8626\times 10^{-26}\) USI.
References
Ade, P.A.R., et al. (BICEP2 Collaboration): Phys. Rev. Lett. 112, 241101 (2014a)
Ade, P.A.R., et al. (Planck Collaboration): Astron. Astrophys. 571, A16 (2014b)
Ade, P.A.R., et al. (Planck Collaboration): Astron. Astrophys. 571, A23 (2014c)
Ade, P.A.R., et al. (Planck Collaboration): Astron. Astrophys. 576, A104 (2015)
Astashenok, A.V., et al.: Phys. Lett. B 713, 145 (2012)
Bamba, K., et al.: Phys. Lett. B 731, 257 (2014a)
Bamba, K., et al.: Phys. Lett. B 737, 374 (2014b)
Bamba, K., et al.: Phys. Rev. D 90, 124061 (2014c)
Bassett, B.A., et al.: Rev. Mod. Phys. 78, 5377 (2006)
Chakravarty, G.K., Mohanty, S.: Phys. Lett. B 746, 242–247 (2015)
Colley, W.N., Gott, J.R.: Mon. Not. R. Astron. Soc. 447(2), 2034–2045 (2015)
Ferrara, S., et al.: Physic 62, 573 (2014)
Frampon, P.H., et al.: Phys. Rev. D 84, 063003 (2011)
Gao, Q., Gong, Y.: Phys. Lett. B 734, 41 (2014)
Geng, C.-Q., Wu, Y.-P.: J. Cosmol. Astropart. Phys. 1304, 033 (2013)
Hazra, D.K., et al.: J. Cosmol. Astropart. Phys. 08, 048 (2014)
Hinshaw, G., et al. (WMAP Collaboration): Astron. Astrophys. Suppl. Ser. 208, 19 (2013)
Jamil, M., et al.: Int. J. Theor. Phys. 54(4), 1098–1112 (2015)
Joergensen, J., et al.: Phys. Rev. D 90, 043509 (2014)
Kaiser, D.I.: Phys. Lett. B 340, 23 (1994)
Kaiser, D.I.: Phys. Rev. D 52, 4295 (1995)
Kamionskowski, M., Kovetz, E.D.: Phys. Rev. Lett. 113(19), 191303 (2014)
Kobayashi, T., Seto, O.: Phys. Rev. D 89, 103524 (2014)
Liddle, A.R., et al.: Phys. Rev. D 50, 7222 (1994)
Lidsey, J.E., et al.: Rev. Mod. Phys. 69, 373 (1997)
Mukhanov, V.: Eur. Phys. J. C 73, 2486 (2013)
Nashed, G.G.L., et al.: arXiv:1411.3293 (2014)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006)
Nottale, L.: Found. Sci. 15, 101.152 (2008)
Odintsov, S.D., Oikonomou, V.K.: Phys. Rev. D 92, 124024 (2015)
Pallis, C.: J. Cosmol. Astropart. Phys. 1410(10), 058 (2014)
Salako, I.G., et al.: J. Cosmol. Astropart. Phys. 1311, 060 (2013)
Skugoreva, M.A., et al.: Phys. Rev. D 91, 044023 (2015)
Spergel, D.N., et al. (WMAP Collaboration): Astrophys. J. Suppl. Ser. 148, 175 (2003)
Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)
Vasquez, J.A., et al.: J. Cosmol. Astropart. Phys. 1308, 001 (2013)
Vilenkin, A.: Phys. Rev. D 32, 2511 (1985)
Acknowledgements
M.J.S. Houndjo thanks “Ecole Normale Supérieure de Natitingou” for partial financial support. M.E. Rodrigues also expresses his sincere gratitude to UFPA and CNPq.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ganiou, M.G., Houndjo, M.J.S., Salako, I.G. et al. Perfect fluid and \(F(T)\) gravity descriptions of inflationary universe and comparison with observational data. Astrophys Space Sci 361, 210 (2016). https://doi.org/10.1007/s10509-016-2794-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-016-2794-0