Abstract
In this paper we explore \(f(T, \mathcal{T})\), where \(T\) and \(\mathcal {T}\) denote the torsion scalar and the trace of the energy-momentum tensor respectively. We impose the covariant conservation to the energy-momentum tensor and obtain a cosmological \(f(T, \mathcal{T})\) respectively. We impose the covariant conservation to the energy-momentum tensor and obtain a cosmological \(f(T, \mathcal{T})\) model. Then, we study the stability of the obtained model for power-law and de Sitter solutions and our result show that the model can be stable for some values of the input parameters, for both power-law and de Sitter solutions.
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References
Adelman-McCarthy, K.J., et al.: Astrophys. J. Suppl. Ser. 175, 297 (2008)
Alvarenga, G.F., et al.: Phys. Rev. D 87, 103526 (2013)
Amorós, J., et al.: Phys. Rev. D 87, 104037 (2013)
Bamba, K., et al.: Astrophys. Space Sci. 342, 155 (2012)
Bamba, K., et al.: J. Cosmol. Astropart. Phys. 1302, 008 (2013)
Bengochea, R.G., Ferraro, R.: Phys. Rev. D 79, 124019 (2009)
De Felice, A., et al.: Phys. Lett. B 675, 1–8 (2009)
De la Cruz-Dombriz, A.: Class. Quantum Gravity 29, 245014 (2012)
Hamani Daouda, M., et al.: Eur. Phys. J. C 71, 1817 (2011)
Houndjo, S.J.M., Piattella, F.O.: Int. J. Mod. Phys. D 21, 1250024 (2012)
Jamil, M., et al.: Eur. Phys. J. C 71, 1711 (2011)
Jamil, M., et al.: Eur. Phys. J. C 72, 2267 (2012)
Linder, V.E.: Phys. Rev. D 81, 127301 (2010)
Momeni, D., et al.: Euro. Phys. J. C 72 (2011)
Nojiri, S., Odintsov, D.S.: Phys. Lett. B 631, 1 (2005)
Nassur, B.S., et al.: Astrophys. Space Sci. 360(2), 60 (2015)
Rodrigues, E.M., et al.: Int. J. Mod. Phys. D 23, 1450004 (2014)
Salako, G.I., et al.: J. Cosmol. Astropart. Phys. 060, 1475–7516 (2013)
Salako, G.I., et al.: Astrophys. Space Sci. 358(1), 13 (2015)
Setare, R.M., et al.: J. Cosmol. Astropart. Phys. 1211, 030 (2012)
Spergel, N.D., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)
Tiberiju, H., et al.: J. Cosmol. Astropart. Phys. 12, 021 (2014)
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The authors thank IMSP for hospitality during the elaboration of this work.
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Ganiou, M.G., Salako, I.G., Houndjo, M.J.S. et al. \(f(T,\mathcal{T})\) cosmological models in phase space. Astrophys Space Sci 361, 57 (2016). https://doi.org/10.1007/s10509-015-2644-5
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DOI: https://doi.org/10.1007/s10509-015-2644-5