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- Title
Cosmological inflationary studying around the type IV singularity within f(T) gravity.
- Authors
Ganiou, M. G.; Houndjo, M. J. S.; Abadji, H. F.; Tossa, J.
- Abstract
In this paper, we investigate the effects of Type IV singularity through f (T) gravity description of inflationary Universe, where T denotes the torsion scalar. With the Friedmann equations of the theory, we reconstruct a f (T) model according to a given Hubble rate susceptible to describe the inflationary era near the Type IV singularity. One obtains an interesting well-known f (T) model but with additional constant parameter c 0 staying as the Type IV singularity contribution. Moreover, we calculate the Hubble flow parameters in order to determine the dynamical evolution of the cosmological system. The results show that some of the Hubble flow parameters are small near the Type IV singularity and become singular at Type IV singularity, indicating that a dynamical instability of the cosmological system occurs at that point. This means that the dynamical cosmological evolution up to that point ceases to be the final attractor since the system is abruptly interrupted. Furthermore, by considering the f (T) trace anomaly equation, the previous result on the Type IV singularity is consolidated by the conditional instability coming from the de Sitter inflationary description of the reconstructed f (T) model. The model leads to instability strongly governed by the Type IV singularity parameter c 0 is viewed as the graceful exit from inflation. Our theoretical f (T) description based on slow-roll parameters not only confirms some observational data on spectral index and the scalar-to-tensor ratio from Planck data and BICEP 2 /Keck-Array data, but also shows the property of f (T) gravity in describing the early and late-time evolution of our Universe.
- Subjects
HUBBLE Space Telescope (Spacecraft); HUBBLE constant; GRAVITY; INFLATIONARY universe; FRIEDMANN equations; ASTROPHYSICS; PRICE inflation
- Publication
International Journal of Geometric Methods in Modern Physics, 2020, Vol 17, Issue 14, pN.PAG
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887820501959