Abstract
We summarize our work on constant roll inflationary models. It was understood recently that constant roll inflation, in a regime beyond the slow roll approximation, can give models that are in agreement with the observational constraints. We describe a new class of constant roll inflationary models and investigate the behavior of scalar perturbations in them. We also comment on other non-slow roll regimes of inflation.
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References
W. Kinney, Horizon crossing and inflation with large \(\eta \), Phys. Rev. D72 (2005) 023515, gr-qc/0503017.
J. Cook and L. Krauss, Large Slow Roll Parameters in Single Field Inflation, JCAP 1603 (2016) 028, arXiv:1508.03647 [astro-ph.CO].
L. Anguelova, A Gravity Dual of Ultra-slow Roll Inflation, Nucl. Phys. B911 (2016) 480, arXiv:1512.08556 [hep-th].
L. Anguelova, P. Suranyi and L.C.R. Wijewardhana, De Sitter Space in Gauge/Gravity Duality, Nucl. Phys. B899 (2015) 651, arXiv:1412.8422 [hep-th].
L. Anguelova, P. Suranyi and L.C.R. Wijewardhana, Toward a Gravity Dual of Glueball Inflation, Bulg. J. Phys. 42 (2015) 277, arXiv:1507.04053 [hep-th].
H. Motohashi, A. Starobinsky, J. Yokoyama, Inflation with a constant rate of roll, JCAP 1509 (2015) 018, arXiv:1411.5021 [astro-ph.CO].
L. Anguelova, P. Suranyi and L.C.R. Wijewardhana, Systematics of Constant Roll Inflation, arXiv:1710.06989 [hep-th].
S.D. Odintsov, V.K. Oikonomou, Inflationary Dynamics with a Smooth Slow-Roll to Constant-Roll Era Transition, JCAP 1704 (2017) 041, arXiv:1703.02853 [gr-qc].
S.D. Odintsov, V.K. Oikonomou, Inflation with a Smooth Constant-Roll to Constant-Roll Era Transition, Phys.Rev. D96 (2017) 024029, arXiv:1704.02931 [gr-qc].
N. Tsamis and R. Woodard, Improved Estimates of Cosmological Perturbations, Phys. Rev. D69 (2004) 084005, astro-ph/0307463.
D. Baumann, TASI Lectures on Inflation, Conference Proceedings for “Physics of the Large and the Small”, Theoretical Advanced Study Institute in Elementary Particle Physics, Boulder, Colorado, June 2009, arXiv:0907.5424 [hep-th].
V. Mukhanov, Gravitational Instability of the Universe Filled with a Scalar Field, JETP Lett. 41 (1985) 493.
M. Sasaki, Large Scale Quantum Fluctuations in the Inflationary Universe, Prog. Theor. Phys. 76 (1986) 1036.
D. Lyth and A. Liddle, The Primordial Density Perturbation: Cosmology, Inflation and the Origin of Structure (Cambridge University Press, 2009).
A. Linde, Fast-Roll Inflation, JHEP 0111 (2001) 052, arXiv:hep-th/0110195.
S.D. Odintsov, V.K. Oikonomou, L. Sebastiani, Unification of Constant-roll Inflation and Dark Energy with Logarithmic \(R^2\)-corrected and Exponential \(F(R)\) Gravity, Nucl. Phys. B923 (2017) 608-632, arXiv:1708.08346 [gr-qc].
Acknowledgements
L.A. has received partial support from the Bulgarian NSF grant DN 08/3 and the bilateral grant STC/Bulgaria-France 01/6.
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Anguelova, L., Suranyi, P., Rohana Wijewardhana, L.C. (2018). On Non-slow Roll Inflationary Regimes. In: Dobrev, V. (eds) Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2. LT-XII/QTS-X 2017. Springer Proceedings in Mathematics & Statistics, vol 255. Springer, Singapore. https://doi.org/10.1007/978-981-13-2179-5_11
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DOI: https://doi.org/10.1007/978-981-13-2179-5_11
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