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1

Bouffard, Karen. "Slow roll." Physics Teacher 39, no. 3 (March 2001): 191. http://dx.doi.org/10.1119/1.1364072.

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2

Faraoni, Valerio. "Generalized slow-roll inflation." Physics Letters A 269, no. 4 (May 2000): 209–13. http://dx.doi.org/10.1016/s0375-9601(00)00257-7.

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3

Dutta, Sourish, and Robert J. Scherrer. "Slow-roll freezing quintessence." Physics Letters B 704, no. 4 (October 2011): 265–69. http://dx.doi.org/10.1016/j.physletb.2011.09.034.

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4

Damour, Thibault, and Viatcheslav F. Mukhanov. "Inflation without Slow Roll." Physical Review Letters 80, no. 16 (April 20, 1998): 3440–43. http://dx.doi.org/10.1103/physrevlett.80.3440.

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5

LANGBEIN, R. F., K. LANGFELD, H. REINHARDT, and L. von SMEKAL. "NATURAL SLOW-ROLL INFLATION." Modern Physics Letters A 11, no. 08 (March 14, 1996): 631–46. http://dx.doi.org/10.1142/s0217732396000655.

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It is shown that the nonperturbative dynamics of a phase change to the nontrivial phase of λφ4-theory in the early universe can give rise to slow-rollover inflation without recourse to unnaturally small couplings.
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6

Chiba, Takeshi, and Masahide Yamaguchi. "Extended slow-roll conditions and rapid-roll conditions." Journal of Cosmology and Astroparticle Physics 2008, no. 10 (October 14, 2008): 021. http://dx.doi.org/10.1088/1475-7516/2008/10/021.

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7

Dimopoulos, Konstantinos. "Ultra slow-roll inflation demystified." Physics Letters B 775 (December 2017): 262–65. http://dx.doi.org/10.1016/j.physletb.2017.10.066.

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8

Matsuda, Tomohiro. "Brane inflation without slow-roll." Journal of High Energy Physics 2007, no. 03 (March 21, 2007): 096. http://dx.doi.org/10.1088/1126-6708/2007/03/096.

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9

Shandera, Sarah. "Slow roll in brane inflation." Journal of Cosmology and Astroparticle Physics 2005, no. 04 (April 18, 2005): 011. http://dx.doi.org/10.1088/1475-7516/2005/04/011.

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10

Firouzjahi, Hassan, Amin Nassiri-Rad, and Mahdiyar Noorbala. "Stochastic ultra slow roll inflation." Journal of Cosmology and Astroparticle Physics 2019, no. 01 (January 21, 2019): 040. http://dx.doi.org/10.1088/1475-7516/2019/01/040.

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11

Pattison, Chris, Vincent Vennin, Hooshyar Assadullahi, and David Wands. "Stochastic inflation beyond slow roll." Journal of Cosmology and Astroparticle Physics 2019, no. 07 (July 19, 2019): 031. http://dx.doi.org/10.1088/1475-7516/2019/07/031.

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12

Oikonomou, V. K. "A smooth constant-roll to a slow-roll modular inflation transition." International Journal of Modern Physics D 27, no. 02 (January 2018): 1850009. http://dx.doi.org/10.1142/s0218271818500098.

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In this work, we investigate how a smooth transition from a constant-roll to a slow-roll inflationary era may be realized in the context of a canonical scalar field theory. We study in some detail the dynamical evolution of the cosmological system, and we investigate whether a stable attractor exists, both numerically and analytically. We also investigate the slow-roll era and as we demonstrate, the partially compatibility of the resulting scalar theory may be achieved with the potential of the latter belonging to a class of modular inflationary potentials. The novel features of the constant-roll to slow-roll transition which we achieved are firstly that it is not compelling for the slow-roll era to last for [Formula: see text]–60 [Formula: see text]-foldings, but it may last for a smaller number of [Formula: see text]-foldings, since some [Formula: see text]-foldings may occur during the constant-roll era. Secondly, when the slow-roll era occurs after the constant-roll era, the graceful exit from inflation may occur, a feature absent in the constant-roll scenario, due to the stability properties of the final attractor in the constant-roll case.
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13

Charters, Tiago C., José P. Mimoso, and Ana Nunes. "Slow-roll inflation without fine-tuning." Physics Letters B 472, no. 1-2 (January 2000): 21–26. http://dx.doi.org/10.1016/s0370-2693(99)01362-3.

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14

KIM, HUNGSOO, GIL SANG LEE, and YUN SOO MYUNG. "NONCOMMUTATIVE SPACETIME EFFECT ON THE SLOW-ROLL PERIOD OF INFLATION." Modern Physics Letters A 20, no. 04 (February 10, 2005): 271–83. http://dx.doi.org/10.1142/s0217732305016518.

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We study how the noncommutative spacetime affects inflation. First we obtain the noncommutative power spectrum of the curvature perturbations produced during inflation in the slow-roll approximation. This is the explicit k-dependent power spectrum up to first order in slow-roll parameters ε1, δ1 including the noncommutative parameter μ. In order to test the role of μ further, we calculate the noncommutative power spectrum using the slow-roll expansion. We find corrections which arise from the change of pivot scale and the slowly varying nature of μ. It turns out that the noncommutative parameter μ could be considered as a zero order slow-roll parameter and the noncommutative spacetime effect provides a negatively large running spectral index.
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15

Casadio, Roberto, Fabio Finelli, Mattia Luzzi, and Giovanni Venturi. "Higher order slow-roll predictions for inflation." Physics Letters B 625, no. 1-2 (October 2005): 1–6. http://dx.doi.org/10.1016/j.physletb.2005.08.056.

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16

Gong, Jinn-Ouk. "Modular thermal inflation without slow-roll approximation." Physics Letters B 637, no. 3 (June 2006): 149–55. http://dx.doi.org/10.1016/j.physletb.2006.04.036.

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17

Gallego Cadavid, Alexander. "Features in single field slow-roll inflation." Journal of Physics: Conference Series 831 (March 2017): 012003. http://dx.doi.org/10.1088/1742-6596/831/1/012003.

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18

Choe, Jeongyeol, Jinn-Ouk Gong, and Ewan D. Stewart. "Second order general slow-roll power spectrum." Journal of Cosmology and Astroparticle Physics 2004, no. 07 (July 22, 2004): 012. http://dx.doi.org/10.1088/1475-7516/2004/07/012.

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19

Barenboim, Gabriela, and William H. Kinney. "Slow roll in simple non-canonical inflation." Journal of Cosmology and Astroparticle Physics 2007, no. 03 (March 15, 2007): 014. http://dx.doi.org/10.1088/1475-7516/2007/03/014.

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20

Kohri, Kazunori, David H. Lyth, and Alessandro Melchiorri. "Black hole formation and slow-roll inflation." Journal of Cosmology and Astroparticle Physics 2008, no. 04 (April 29, 2008): 038. http://dx.doi.org/10.1088/1475-7516/2008/04/038.

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21

Guglielmi, Giorgia. "Hurricanes slow their roll around the world." Nature 558, no. 7708 (June 2018): 15–16. http://dx.doi.org/10.1038/d41586-018-05324-5.

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22

Rendall, Alan D. "Intermediate inflation and the slow-roll approximation." Classical and Quantum Gravity 22, no. 9 (April 6, 2005): 1655–66. http://dx.doi.org/10.1088/0264-9381/22/9/013.

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23

Granda, L. N., and D. F. Jimenez. "Slow-roll inflation in scalar-tensor models." Journal of Cosmology and Astroparticle Physics 2019, no. 09 (September 3, 2019): 007. http://dx.doi.org/10.1088/1475-7516/2019/09/007.

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24

Ashtekar, Abhay, and David Sloan. "Loop quantum cosmology and slow roll inflation." Physics Letters B 694, no. 2 (November 2010): 108–12. http://dx.doi.org/10.1016/j.physletb.2010.09.058.

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25

Losic, B., and W. G. Unruh. "Quantum back reactions in slow-roll cosmologies." Canadian Journal of Physics 84, no. 6-7 (January 15, 2006): 599–605. http://dx.doi.org/10.1139/p06-020.

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We summarize the results of a calculation (B. Losic and W.G. Unruh. Phys. Rev. D, 72, 123510 (2005).) of cosmological back reactions about a slowly rolling background space-time. In particular, we evaluate the effect of the superhorizon second-order corrections on the (superhorizon) inhomogeneous modes of the linearized fluctuations. Their physical significance is quantified by studying their effective equation of state, where the isotropic pressure and energy density at second order are defined in terms of the averaged eigenvalues associated with timelike (spacelike) eigenvectors of a total stress energy for the metric and matter fluctuations. Given a well-defined gauge fixing at second order, we find that the higher order corrections may dominate those of the linear terms and, furthermore, that this result holds for other reasonable gauge-fixing procedures. Our work suggests that for many parameters of slow-roll inflation, the second-order effects may dominate over the first-order effects for the super-Hubble evolution. We also find that the contribution to the equation of state due to the back reactions is that of a negative cosmological constant in this coordinate gauge, confirming earlier work.PACS Nos.: 31.15.Pf, 31.30.Jv, 32.10.Hq
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26

Liddle, Andrew R., Paul Parsons, and John D. Barrow. "Formalizing the slow-roll approximation in inflation." Physical Review D 50, no. 12 (December 15, 1994): 7222–32. http://dx.doi.org/10.1103/physrevd.50.7222.

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27

Barrow, John D. "Slow-roll inflation in scalar-tensor theories." Physical Review D 51, no. 6 (March 15, 1995): 2729–32. http://dx.doi.org/10.1103/physrevd.51.2729.

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28

Gong, Jinn-Ouk. "General slow-roll spectrum for gravitational waves." Classical and Quantum Gravity 21, no. 23 (November 17, 2004): 5555–61. http://dx.doi.org/10.1088/0264-9381/21/23/016.

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29

Kumar, K. Sravan, J. Marto, P. Vargas Moniz, and Suratna Das. "Non-slow-roll dynamics in α-attractors." Journal of Cosmology and Astroparticle Physics 2016, no. 04 (April 4, 2016): 005. http://dx.doi.org/10.1088/1475-7516/2016/04/005.

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30

Adshead, Peter, Diego Blas, C. P. Burgess, Peter Hayman, and Subodh P. Patil. "Magnon inflation: slow roll with steep potentials." Journal of Cosmology and Astroparticle Physics 2016, no. 11 (November 4, 2016): 009. http://dx.doi.org/10.1088/1475-7516/2016/11/009.

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31

Luc, Joanna, and Jakub Mielczarek. "Slow-roll approximation in loop quantum cosmology." Journal of Cosmology and Astroparticle Physics 2017, no. 01 (January 23, 2017): 045. http://dx.doi.org/10.1088/1475-7516/2017/01/045.

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32

Ringeval, Christophe. "Fast Bayesian inference for slow-roll inflation." Monthly Notices of the Royal Astronomical Society 439, no. 4 (February 28, 2014): 3253–61. http://dx.doi.org/10.1093/mnras/stu109.

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33

Sochichiu, Corneliu. "Matrix at slow roll: nonrelativistic and perturbative." Journal of Physics A: Mathematical and Theoretical 44, no. 36 (August 16, 2011): 365401. http://dx.doi.org/10.1088/1751-8113/44/36/365401.

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34

Pirtskhalava, David, Luca Santoni, Enrico Trincherini, and Filippo Vernizzi. "Large non-gaussianity in slow-roll inflation." Journal of High Energy Physics 2016, no. 4 (April 2016): 1–13. http://dx.doi.org/10.1007/jhep04(2016)117.

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35

Shokri, Mehdi, Jafar Sadeghi, Mohammad Reza Setare, and Salvatore Capozziello. "Nonminimal coupling inflation with constant slow roll." International Journal of Modern Physics D 30, no. 09 (June 3, 2021): 2150070. http://dx.doi.org/10.1142/s021827182150070x.

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In this paper, we study a single-field inflationary model modified by a nonminimal coupling term between the Ricci scalar [Formula: see text] and the scalar field [Formula: see text] in the context of constant-roll inflation. The first-order formalism is used to analyze the constant-roll inflation instead of the standard methods used in the literature. In principle, the formalism considers two functions of the scalar field, [Formula: see text] and [Formula: see text], which lead to the reduction of the equations of motion to first-order differential equations. The approach can be applied to a wide range of cosmological situations since it directly relates the function [Formula: see text] with Hubbles parameter [Formula: see text]. We perform the inflationary analysis for power-law and exponential couplings, separately. Then, we investigate the features of constant-roll potentials as inflationary potentials. Finally, we compare the inflationary parameters of the models with the observations of Cosmic Microwave Background (CMB) anisotropies in view of realizing a physically motivated model.
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36

Pattison, Chris, Vincent Vennin, David Wands, and Hooshyar Assadullahi. "Ultra-slow-roll inflation with quantum diffusion." Journal of Cosmology and Astroparticle Physics 2021, no. 04 (April 1, 2021): 080. http://dx.doi.org/10.1088/1475-7516/2021/04/080.

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37

Odintsov, S. D., and V. K. Oikonomou. "Inflationary dynamics with a smooth slow-roll to constant-roll era transition." Journal of Cosmology and Astroparticle Physics 2017, no. 04 (April 26, 2017): 041. http://dx.doi.org/10.1088/1475-7516/2017/04/041.

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38

Das, Dipanjana, Sourav Dutta, and Subenoy Chakraborty. "Cosmography parameters in inflationary scenario and their interrelation with slow-roll parameters." Modern Physics Letters A 33, no. 26 (August 24, 2018): 1850151. http://dx.doi.org/10.1142/s0217732318501511.

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This work investigates the inflationary era with slow-roll approximation in the perspective of cosmography parameters. The slow-roll parameters are determined in terms of cosmography parameters and then the cosmography parameters are constrained by the slow-roll approximations. The three important parameters in inflationary scenario, namely the spectral index, tensor to scalar ratio and number of e-foldings, are also expressed in terms of cosmography parameters. Finally, all relevant parameters are analyzed graphically for a known inflationary solution.
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39

Yi, Zhu, and Yungui Gong. "Gauss–Bonnet Inflation and the String Swampland." Universe 5, no. 9 (September 15, 2019): 200. http://dx.doi.org/10.3390/universe5090200.

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The swampland criteria are generically in tension with single-field slow-roll inflation because the first swampland criterion requires small tensor-to-scalar ratio while the second swampland criterion requires either large tensor-to-scalar ratio or large scalar spectral tilt. The challenge to single-field slow-roll inflation imposed by the swampland criteria can be avoided by modifying the relationship between the tensor-to-scalar ratio and the slow-roll parameter. We show that the Gauss–Bonnet inflation with the coupling function inversely proportional to the potential overcomes the challenge by adding a constant factor in the relationship between the tensor-to-scalar ratio and the slow-roll parameter. For the Gauss–Bonnet inflation, while the swampland criteria are satisfied, the slow-roll conditions are also fulfilled, so the scalar spectral tilt and the tensor-to-scalar ratio are consistent with the observations. We use the potentials for chaotic inflation and the E-model as examples to show that the models pass all the constraints. The Gauss–Bonnet coupling seems a way out of the swampland issue for single-field inflationary models.
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40

Sanna, Bruno, and Lorenzo Sebastiani. "The Trans-Planckian Censorship Conjecture in Different Frameworks of Viable Inflation." Universe 7, no. 4 (April 9, 2021): 95. http://dx.doi.org/10.3390/universe7040095.

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We review the recently proposed Trans-Planckian Censorship Conjecture (TCC) that stems from the trans-Planckian problem of cosmological perturbations. We analyze the implications and constraints that the TCC introduces in different frameworks of viable inflation. We revisit the case of slow-roll scalar field inflation and we investigate the cases of slow-roll f(R) and f(R,ϕ)-gravity. Finally, we consider the conjecture in the context of constant-roll scalar field inflation.
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41

Oikonomou, V. K. "Reheating in constant-roll F(R) gravity." Modern Physics Letters A 32, no. 33 (October 19, 2017): 1750172. http://dx.doi.org/10.1142/s0217732317501723.

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In this work, we address the reheating issue in the context of F(R) gravity, for theories that the inflationary era does not obey the slow-roll condition but the constant-roll condition is assumed. As it is known, the reheating era takes place after the end of the inflationary era, so we investigate the implications of a constant-roll inflation era on the reheating era. We quantify our considerations by calculating the reheating temperature for the constant-roll R2 model and we compare to the standard reheating temperature in the context of F(R) gravity. As we demonstrate, the new reheating temperature may differ from the standard one, and in addition, we show how the reheating era may restrict the constant-roll era by constraining the constant-roll parameter. However, due to the observational constraints on the constant-roll parameter, no large deviations from the slow-roll picture occur.
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42

Anguelova, Lilia. "A gravity dual of ultra-slow roll inflation." Nuclear Physics B 911 (October 2016): 480–99. http://dx.doi.org/10.1016/j.nuclphysb.2016.08.020.

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43

Kinney, William H. "Hamilton-Jacobi approach to non-slow-roll inflation." Physical Review D 56, no. 4 (August 15, 1997): 2002–9. http://dx.doi.org/10.1103/physrevd.56.2002.

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44

Tzirakis, Konstantinos, and William H. Kinney. "Non-canonical generalizations of slow-roll inflation models." Journal of Cosmology and Astroparticle Physics 2009, no. 01 (January 14, 2009): 028. http://dx.doi.org/10.1088/1475-7516/2009/01/028.

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45

Spaliński, Michał. "On the slow roll expansion for brane inflation." Journal of Cosmology and Astroparticle Physics 2007, no. 04 (April 25, 2007): 018. http://dx.doi.org/10.1088/1475-7516/2007/04/018.

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46

Gonzalez-Espinoza, Manuel, Giovanni Otalora, Nelson Videla, and Joel Saavedra. "Slow-roll inflation in generalized scalar-torsion gravity." Journal of Cosmology and Astroparticle Physics 2019, no. 08 (August 22, 2019): 029. http://dx.doi.org/10.1088/1475-7516/2019/08/029.

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47

Huston, Ian, and Karim A. Malik. "Second order perturbations during inflation beyond slow-roll." Journal of Cosmology and Astroparticle Physics 2011, no. 10 (October 21, 2011): 029. http://dx.doi.org/10.1088/1475-7516/2011/10/029.

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48

Elliston, Joseph, Laila Alabidi, Ian Huston, David Mulryne, and Reza Tavakol. "Large trispectrum in two-field slow-roll inflation." Journal of Cosmology and Astroparticle Physics 2012, no. 09 (September 3, 2012): 001. http://dx.doi.org/10.1088/1475-7516/2012/09/001.

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49

Nibbelink, S. Groot, and B. J. W. van Tent. "Scalar perturbations during multiple-field slow-roll inflation." Classical and Quantum Gravity 19, no. 4 (January 30, 2002): 613–40. http://dx.doi.org/10.1088/0264-9381/19/4/302.

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50

Gangui, A., and J. Martin. "Cosmic microwave background bispectrum and slow-roll inflation." Monthly Notices of the Royal Astronomical Society 313, no. 2 (April 1, 2000): 323–30. http://dx.doi.org/10.1046/j.1365-8711.2000.03210.x.

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