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Warm Intermediate Inflation in F(T) Gravity

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Abstract

We investigate warm intermediate scenario of the cosmological inflation in F(T) gravity in the limit of high dissipation. The inflationary expansion is driven by the scalar inflaton while the gravitational dynamics follow from the F(T) gravity. We calculate the relevant inflationary observables such as scalar-tensor ratio, power-spectrum indices of density perturbations and gravitational waves and the e-folding parameter. We obtain a ratio of slow-roll parameters to be constant. Our calculations support the warm-intermediate inflationary scenario in a spacetime with torsion. Moreover our results are compatible with the astrophysical observations of cosmic microwave background and Planck data.

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Notes

  1. Strictly speaking, F(T) is not a model of modified gravity like F(R),F(R,G) and etc. It doesn’t indicate any simple modification of Einstein-Hilbert action. In a more common form, it defines a geometry using asymmetric connections and based on the idea of teleparallelism. Commonly it stated that the later case is identical to GR. But it’s only at the level of action.

  2. The Hubble parameter after the end of inflation is assumed to be larger compared to its value at any later time.

  3. Alternative definitions of n s are n s = 1+2η−6𝜖, and \(n_{s}=1+4\frac {\dot H}{H^{2}}-\frac {\ddot H}{H\dot H}\) [2].

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Acknowledgments

We are indebted to J. Barrow, M. Bastero-Gil, A. Berera, R. O. Ramos, J. G. Rosa for pointing out corrections and making suggestions for improvement.

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Authors and Affiliations

  1. Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan

    Mubasher Jamil

  2. Eurasian International Center for Theoretical Physics, Eurasian National University, Astana, 010008, Kazakhstan

    Davood Momeni & Ratbay Myrzakulov

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  1. Mubasher Jamil
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Correspondence to Davood Momeni.

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Jamil, M., Momeni, D. & Myrzakulov, R. Warm Intermediate Inflation in F(T) Gravity. Int J Theor Phys 54, 1098–1112 (2015). https://doi.org/10.1007/s10773-014-2303-6

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