Abstract
In this paper, we analyze the phase-space of a model of dark energy in which a non-canonical scalar field (tachyon) non-minimally coupled to torsion scalar in the framework of teleparallelism. Scalar field potential and non-minimal coupling function are chosen as V(ϕ) = V 0 ϕ n and f(ϕ) = ϕ N, respectively. We obtain a critical point that behaves like a stable or saddle point depending on the values of N and n. Additionally we find an unstable critical line. We have shown such a behavior of critical points using numerical computations and phase-space trajectories explicitly.
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Riess, A.G., et al. [Supernova Search Team Collaboration]: Astron. J. 116, 1009 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
Eisenstein, D.J., et al.: Astrophys. J. 633, 560 (2005)
Jain, B., Taylor, A.: Phys. Rev. Lett. 91, 141302 (2003)
Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)
Cai, Y.F., Saridakis, E.N., Setare, M.R., Xia, J. Q.: Phys. Rept. 493, 1 (2010)
Padmanabhan, T.: Phys. Rept. 380, 235 (2003)
Zlatev, I., Wang, L.M., Steinhardt, P.J.: Phys. Rev. Lett. 82, 896 (1999)
Caldwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)
Sen, A.: Mod. Phys. Lett. A 17, 1797 (2002)
Aviles, A., Bastarrachea-Almodovar, A., Campuzano, L., Quevedo, H.: Phys. Rev. D 86, 063508 (2012)
Kahya, E.O., Khurshudyan, M., Pourhassan, B., Myrzakulov, R., Pasqua, A.: Eur. Phys. J. C 75, 43 (2015)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007)
Chernikov, N.A., Tagirov, E.A.: Ann. Poincare Phys. Theor. A 9, 109 (1968)
Callan, C.G., Coleman, S.R., Jackiw, R.: Ann. Phys. 59, 42 (1970)
Birrell, N.D., Davies, P.C.W.: Quantum Fields in Curved Space. Cambridge University Press, Cambridge (1982)
Faraoni, V.: Phys. Rev. D 53, 6813 (1996)
Nojiri, S., Odintsov, S.D.: Gen. Relativ. Gravit. 38, 1285 (2006)
Unzicker, A., Case, T.: arXiv:physics/0503046
Hayashi, K., Shirafuji, T.: Phys. Rev. D 19, 3524 (1979). Addendum-ibid. D 24, 3312 (1982)
Ferraro, R., Fiorini, F.: Phys. Rev. D 75, 084031 (2007)
Linder, E.V.: Phys. Rev. D 81, 127301 (2010)
Bamba, K., Capozziello, S., De Laurentis, M., Nojiri, S. ’I., Sáez-Gómez, D.: Phys. Lett. B 727, 194 (2013)
Cai, Y.F., Capozziello, S., De Laurentis, M., Saridakis, E.N.: arXiv:1511.07586 (2015)
Carloni, S., Lobo, F.S.N., Otalora, G., Saridakis, E.N.: Phys. Rev. D 93, 024034 (2014)
Geng, C.-Q., Lee, C.-C., Saridakis, E.N.: JCAP 1201, 002 (2012)
Skugoreva, M.A., Saridakis, E.N., Toporensky, A.V.: Phys. Rev. D 91, 044023 (2015)
Xu, C., Saridakis, E.N., Leon, G.: JCAP 1207, 005 (2012)
Otalora, G.: JCAP 1307, 044 (2013)
Banijamali, A., Fazlpour, B.: Astrophys. Space Sci. 342, 229 (2012)
Otalora, G.: Phys. Rev. D 88, 063505 (2013)
Weitzenböck, R.: Invariance Theorie. Groningen, Nordhoff (1923)
Maluf, J.W.: J. Math. Phys. 35, 335 (1994)
Arcos, H.I., Pereira, J.G.: Int. J. Mod. Phys. D 13, 2193 (2004)
Aldrovandi, R., Pereira, J.G.: Tleparallel Gravity: An Introduction. Springer, Dordrecht (2013)
Geng, C.Q., Lee, C.C., Saridakis, E.N., Wu, Y.P.: Phys. Lett. B 704, 384 (2011)
Quiros, I., Gonzalez, T., Gonzalez, D., Napoles, Y., García-Salcedo, R., Moreno, C.: Class. Quant. Grav. 27, 215021 (2010)
Böhmer, C.G., Chan, N.: arXiv:1409.5585v2 (2014)
Banijamali, A.: Adv. High Energy Phys. 631630, 14 (2014)
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Banijamali, A., Ghasemi, E. Dynamical Characteristics of a Non-canonical Scalar-Torsion Model of Dark Energy. Int J Theor Phys 55, 3752–3760 (2016). https://doi.org/10.1007/s10773-016-3004-0
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DOI: https://doi.org/10.1007/s10773-016-3004-0