Built on

A. A. Starobinsky, Spectrum of relict gravitational radiation and the early state of the universe , JETP Lett. 30
1979
Earlier work this paper cites.
A. A. Starobinsky, A new type of isotropic cosmological models without singularity , Phys. Lett. 91B
1980
Earlier work this paper cites.
A. H. Guth, Inflationary universe: A possible solution to the horizon and flatness problems , Phys. Rev. D 23
1981
Earlier work this paper cites.
V. F. Mukhanov and G. V. Chibisov, Quantum Fluctuations and a Nonsingular Universe , JETP Lett. 33
1981
Earlier work this paper cites.
A. D. Linde, A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems , Phys. Lett. 108B
1982
Earlier work this paper cites.
A. R. Liddle, Power Law Inflation With Exponential Potentials , Phys. Lett. (1989) 502–508
1989
Earlier work this paper cites.
V. C. de Andrade and J. G. Pereira, Riemannian and teleparallel descriptions of the scalar field gravitational interaction , Gen. Rel. Grav. 30
1998
Earlier work this paper cites.
D. H. Lyth and A. Riotto, Particle physics models of inflation and the cosmological density perturbation , Phys. Rept. 314
1999
Earlier work this paper cites.
C. Armendariz-Picon, T. Damour and V. F. Mukhanov, k - inflation , Phys. Lett. (1999) 209–218 , [ hep-th/9904075 ]
1999
Earlier work this paper cites.
J. Garriga and V. F. Mukhanov, Perturbations in k-inflation , Phys. Lett. (1999) 219–225 , [ hep-th/9904176 ]
1999
Earlier work this paper cites.
S. Inoue and J. Yokoyama, Curvature perturbation at the local extremum of the inflaton’s potential , Phys. Lett. (2002) 15–20 , [ hep-ph/0104083 ]
2002
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration , Phys. Rev. (2003) 123512 , [ hep-th/0307288 ]
2003
Earlier work this paper cites.
N. C. Tsamis and R. P. Woodard, Improved estimates of cosmological perturbations , Phys. Rev. (2004) 084005 , [ astro-ph/0307463 ]
2004
Earlier work this paper cites.
W. H. Kinney, Horizon crossing and inflation with large eta , Phys. Rev. (2005) 023515 , [ gr-qc/0503017 ]
2005
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy , Int. J. Geom. Meth. Mod. Phys. 04
2007
Earlier work this paper cites.
R. Ferraro and F. Fiorini, Modified teleparallel gravity: Inflation without inflaton , Phys. Rev. (2007) 084031 , [ gr-qc/0610067 ]
2007
Earlier work this paper cites.
A. D. Linde, Inflationary Cosmology , Lect. Notes Phys. 738
Original
2008
Earlier work this paper cites.
G. R. Bengochea and R. Ferraro, Dark torsion as the cosmic speed-up , Phys. Rev. (2009) 124019 , [ 0812.1205 ]
Original
2009
Earlier work this paper cites.
X. Chen, Primordial Non-Gaussianities from Inflation Models , Adv. Astron. 2010
Original
2010
Earlier work this paper cites.
E. V. Linder, Einstein’s Other Gravity and the Acceleration of the Universe , Phys. Rev. (2010) 127301 , [ 1005.3039 ]
Original
2010
Earlier work this paper cites.
2011, 10.1142/7874
D. S. Gorbunov and V. A. Rubakov, Introduction to the theory of the early universe: Cosmological perturbations and inflationary theory · 2011
Earlier work this paper cites.
S. Capozziello and M. de Laurentis, Extended Theories of Gravity , Phys. Rep. 509
Original
2011
Earlier work this paper cites.
Springer, Dordrecht, 2011, 10.1007/978-94-007-0165-6
V. Faraoni and S. Capozziello, Beyond Einstein Gravity , vol. 170 · 2011
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Unified cosmic history in modified gravity: From F(R) theory to Lorentz non-invariant models , Phys. Rep. 505
Original
2011
Earlier work this paper cites.
C.-Q. Geng, C.-C. Lee, E. N. Saridakis and Y.-P. Wu, ”Teleparallel” dark energy , Phys. Lett. 704B
Original
2011
Earlier work this paper cites.
J. B. Dent, S. Dutta and E. N. Saridakis, f ⁡ ( T ) f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis , J. Cosmol. Astropart. Phys. 1
Original
2011
Earlier work this paper cites.
R.-J. Yang, New types of f( T) gravity , Eur. Phys. J. C 71
Original
2011
Earlier work this paper cites.
K. Bamba, C.-Q. Geng, C.-C. Lee and L.-W. Luo, Equation of state for dark energy in f ⁡ ( T ) f(T) gravity , JCAP 1101
Original
2011
Earlier work this paper cites.

Similar

S. Capozziello, V. F. Cardone, H. Farajollahi and A. Ravanpak, Cosmography in f ⁡ ( T ) f(T) gravity , Phys. Rev. D 84
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2011
Cited alongside, same era.
Y.-F. Cai, S.-H. Chen, J. B. Dent, S. Dutta and E. N. Saridakis, Matter bounce cosmology with the f ⁡ ( T ) f(T) gravity , Classical and Quantum Gravity 28
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Then

J. L. Cook and L. M. Krauss, Large Slow Roll Parameters in Single Field Inflation , JCAP 1603
Original
2016
Later among the works it cites.
L. Anguelova, A Gravity Dual of Ultra-slow Roll Inflation , Nucl. Phys. (2016) 480–499 , [ 1512.08556 ]
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2016
Later among the works it cites.
K. S. Kumar, J. Marto, P. Vargas Moniz and S. Das, Non-slow-roll dynamics in α − \alpha- attractors , JCAP 1604
Original
2016
Later among the works it cites.
Y.-F. Cai, S. Capozziello, M. De Laurentis and E. N. Saridakis, f(T) teleparallel gravity and cosmology , Rept. Prog. Phys. 79
Original
2016
Later among the works it cites.
W. El Hanafy and G. L. Nashed, Reconstruction of f ⁡ ( T ) f(T) -gravity in the absence of matter , Astrophys. Space Sci. 361

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2017

Constant-roll Inflation in $f(T)$ Teleparallel Gravity

Awad, A., Hanafy, W. El, Nashed, G. G. L. et al.

Understand

We investigate in detail the implications of the constant-roll condition on the inflationary era of a scalar field coupled to a teleparallel $f(T)$ gravity.

The resulting cosmological equations constitute a reconstruction technique which enables us to find either the $f(T)$ gravity which corresponds to a given cosmological evolution, or the Hubble rate of the cosmological evolution generated by a fixed $f(T)$ gravity.
We also analyze in some detail the phase space of the constant-roll teleparallel gravity and we discuss the physical significance of the resulting fixed points and trajectories.
Also we calculate the observational indices of a theory with given $f(T)$ gravity, and we discuss all the implications of the constant-roll condition on these.

Built on

A. A. Starobinsky, Spectrum of relict gravitational radiation and the early state of the universe , JETP Lett. 30
1979
Earlier work this paper cites.
A. A. Starobinsky, A new type of isotropic cosmological models without singularity , Phys. Lett. 91B
1980
Earlier work this paper cites.
A. H. Guth, Inflationary universe: A possible solution to the horizon and flatness problems , Phys. Rev. D 23
1981
Earlier work this paper cites.
V. F. Mukhanov and G. V. Chibisov, Quantum Fluctuations and a Nonsingular Universe , JETP Lett. 33
1981
Earlier work this paper cites.
A. D. Linde, A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems , Phys. Lett. 108B
1982
Earlier work this paper cites.
A. R. Liddle, Power Law Inflation With Exponential Potentials , Phys. Lett. (1989) 502–508
1989
Earlier work this paper cites.
V. C. de Andrade and J. G. Pereira, Riemannian and teleparallel descriptions of the scalar field gravitational interaction , Gen. Rel. Grav. 30
1998
Earlier work this paper cites.
D. H. Lyth and A. Riotto, Particle physics models of inflation and the cosmological density perturbation , Phys. Rept. 314
1999
Earlier work this paper cites.
C. Armendariz-Picon, T. Damour and V. F. Mukhanov, k - inflation , Phys. Lett. (1999) 209–218 , [ hep-th/9904075 ]
1999
Earlier work this paper cites.
J. Garriga and V. F. Mukhanov, Perturbations in k-inflation , Phys. Lett. (1999) 219–225 , [ hep-th/9904176 ]
1999
Earlier work this paper cites.
S. Inoue and J. Yokoyama, Curvature perturbation at the local extremum of the inflaton’s potential , Phys. Lett. (2002) 15–20 , [ hep-ph/0104083 ]
2002
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration , Phys. Rev. (2003) 123512 , [ hep-th/0307288 ]
2003
Earlier work this paper cites.
N. C. Tsamis and R. P. Woodard, Improved estimates of cosmological perturbations , Phys. Rev. (2004) 084005 , [ astro-ph/0307463 ]
2004
Earlier work this paper cites.
W. H. Kinney, Horizon crossing and inflation with large eta , Phys. Rev. (2005) 023515 , [ gr-qc/0503017 ]
2005
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy , Int. J. Geom. Meth. Mod. Phys. 04
2007
Earlier work this paper cites.
R. Ferraro and F. Fiorini, Modified teleparallel gravity: Inflation without inflaton , Phys. Rev. (2007) 084031 , [ gr-qc/0610067 ]
2007
Earlier work this paper cites.
A. D. Linde, Inflationary Cosmology , Lect. Notes Phys. 738
Original
2008
Earlier work this paper cites.
G. R. Bengochea and R. Ferraro, Dark torsion as the cosmic speed-up , Phys. Rev. (2009) 124019 , [ 0812.1205 ]
Original
2009
Earlier work this paper cites.
X. Chen, Primordial Non-Gaussianities from Inflation Models , Adv. Astron. 2010
Original
2010
Earlier work this paper cites.
E. V. Linder, Einstein’s Other Gravity and the Acceleration of the Universe , Phys. Rev. (2010) 127301 , [ 1005.3039 ]
Original
2010
Earlier work this paper cites.
2011, 10.1142/7874
D. S. Gorbunov and V. A. Rubakov, Introduction to the theory of the early universe: Cosmological perturbations and inflationary theory · 2011
Earlier work this paper cites.
S. Capozziello and M. de Laurentis, Extended Theories of Gravity , Phys. Rep. 509
Original
2011
Earlier work this paper cites.
Springer, Dordrecht, 2011, 10.1007/978-94-007-0165-6
V. Faraoni and S. Capozziello, Beyond Einstein Gravity , vol. 170 · 2011
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Unified cosmic history in modified gravity: From F(R) theory to Lorentz non-invariant models , Phys. Rep. 505
Original
2011
Earlier work this paper cites.
C.-Q. Geng, C.-C. Lee, E. N. Saridakis and Y.-P. Wu, ”Teleparallel” dark energy , Phys. Lett. 704B
Original
2011
Earlier work this paper cites.
J. B. Dent, S. Dutta and E. N. Saridakis, f ⁡ ( T ) f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis , J. Cosmol. Astropart. Phys. 1
Original
2011
Earlier work this paper cites.
R.-J. Yang, New types of f( T) gravity , Eur. Phys. J. C 71
Original
2011
Earlier work this paper cites.
K. Bamba, C.-Q. Geng, C.-C. Lee and L.-W. Luo, Equation of state for dark energy in f ⁡ ( T ) f(T) gravity , JCAP 1101
Original
2011
Earlier work this paper cites.