Built on

A. Achúcarro, E. J. Copeland, O. Iarygina, G. A. Palma, D. G. Wang and Y. Welling, “Shift-Symmetric Orbital Inflation: single field or multi-field?,” arXiv:1901.03657 [astro-ph.CO]
Original
1901
Earlier work this paper cites.
T. Bjorkmo and M. C. D. Marsh, “Hyperinflation generalised: from its attractor mechanism to its tension with the ‘swampland conjectures’,” arXiv:1901.08603 [hep-th]
Original
1901
Earlier work this paper cites.
O. Grocholski, M. Kalinowski, M. Kolanowski, S. Renaux-Petel, K. Turzy?ski and V. Vennin, “On backreaction effects in geometrical destabilisation of inflation,” arXiv:1901.10468 [gr-qc]
Original
1901
Earlier work this paper cites.
T. Bjorkmo, “The rapid-turn inflationary attractor,” arXiv:1902.10529 [hep-th]
Original
1902
Earlier work this paper cites.
D. Chowdhury, J. Martin, C. Ringeval and V. Vennin, “Inflation after Planck: Judgment Day,” arXiv:1902.03951 [astro-ph.CO]
Original
1902
Earlier work this paper cites.
J. Fumagalli, S. Garcia-Saenz, L. Pinol, S. Renaux-Petel and J. Ronayne, “Hyper non-Gaussianities in inflation with strongly non-geodesic motion,” arXiv:1902.03221 [hep-th]
Original
1902
Earlier work this paper cites.
P. Christodoulidis, D. Roest and E. Sfakianakis, “Attractors, Bifurcations and Curvature in Multi-field Inflation,” arXiv:1903.03513 [gr-qc]
Original
1903
Earlier work this paper cites.
M. Cicoli, V. Guidetti and F. G. Pedro, “Geometrical Destabilisation of Ultra-Light Axions in String Inflation,” arXiv:1903.01497 [hep-th]
Original
1903
Earlier work this paper cites.
F. Lucchin and S. Matarrese, “Power Law Inflation,” Phys. Rev. D 32
1985
Earlier work this paper cites.
A. D. Linde, “Eternal Chaotic Inflation,” Mod. Phys. Lett. A 1
1986
Earlier work this paper cites.
D. S. Salopek and J. R. Bond, “Nonlinear evolution of long wavelength metric fluctuations in inflationary models,” Phys. Rev. D 42
1990
Earlier work this paper cites.
A. D. Linde, “Hybrid inflation,” Phys. Rev. D 49
1994
Earlier work this paper cites.
L. P. Chimento, “General solution to two-scalar field cosmologies with exponential potentials,” Class. Quant. Grav. 15
1998
Earlier work this paper cites.
A. Vilenkin, “Eternal inflation and the present universe,” Nucl. Phys. Proc. Suppl. 88
2000
Earlier work this paper cites.
D. J. Schwarz, C. A. Terrero-Escalante and A. A. Garcia, “Higher order corrections to primordial spectra from cosmological inflation,” Phys. Lett. B 517
2001
Earlier work this paper cites.
A. H. Guth, “Eternal inflation,” Annals N. Y. Acad. Sci. 950
2001
Earlier work this paper cites.
S. Groot Nibbelink and B. J. W. van Tent, “Scalar perturbations during multiple field slow-roll inflation,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
D. Bertacca, S. Matarrese and M. Pietroni, “Unified Dark Matter in Scalar Field Cosmologies,” Mod. Phys. Lett. A 22
2007
Earlier work this paper cites.
Barkovsky, Y. S. 2008. Lectures on the Routh-Hurwitz problem. arXiv e-prints arXiv:0802.1805
Original
2008
Earlier work this paper cites.
D. H. Lyth and A. R. Liddle, “The primordial density perturbation: Cosmology, inflation and the origin of structure,” Cambridge, UK: Cambridge Univ. Pr. (2009) 497 p
2009
Earlier work this paper cites.
Y. Zhang, Y. g. Gong and Z. H. Zhu, “Noether Symmetry Approach in multiple scalar fields Scenario,” Phys. Lett. B 688
Original
2010
Earlier work this paper cites.
M. Tsamparlis and A. Paliathanasis, “Lie and Noether symmetries of geodesic equations and collineations,” Gen. Rel. Grav. 42
Original
2010
Earlier work this paper cites.

Similar

D. I. Kaiser, “Conformal Transformations with Multiple Scalar Fields,” Phys. Rev. D 81
Original
2010
Cited alongside, same era.
D. I. Kaiser and A. T. Todhunter, “Primordial Perturbations from Multifield Inflation with Nonminimal Couplings,” Phys. Rev. D 81
Original
2010
Cited alongside, same era.
A. J. Tolley and M. Wyman, “The Gelaton Scenario: Equilateral non-Gaussianity from multi-field dynamics,” Phys. Rev. D 81
Original
2010
Cited alongside, same era.
S. Basilakos, M. Tsamparlis and A. Paliathanasis, “Using the Noether symmetry approach to probe the nature of dark energy,” Phys. Rev. D 83
Original
2011
Cited alongside, same era.
M. Tsamparlis and A. Paliathanasis, “Two dimensional dynamical systems which admit Lie and Noether symmetries,” J. Phys. A 44

Then

A. Achúcarro,, V. Atal, B. Hu, P. Ortiz and J. Torrado, “Inflation with moderately sharp features in the speed of sound: Generalized slow-roll and in-in formalism for power spectrum and bispectrum,” Phys. Rev. D 90
Original
2014
Later among the works it cites.
A. Achúcarro, V. Atal and Y. Welling, “On the viability of m 2 ϕ 2 m^{2}\phi^{2} and natural inflation,” JCAP 1507
Original
2015
Later among the works it cites.
S. Clesse and J. Garcia-Bellido, “Massive Primordial Black Holes from Hybrid Inflation as Dark Matter and the seeds of Galaxies,” Phys. Rev. D 92
Original
2015
Later among the works it cites.
J. J. M. Carrasco, R. Kallosh, A. Linde and D. Roest, “Hyperbolic geometry of cosmological attractors,” Phys. Rev. D 92
Original
2015
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2019

Scaling attractors in multi-field inflation

Christodoulidis, Perseas, Roest, Diederik, Sfakianakis, Evangelos I.

Understand

Multi-field inflation with a curved scalar geometry has been found to support background trajectories that violate the slow-roll, slow-turn conditions and thus have the potential to evade the swampland constraints.

In order to understand how generic this novel behaviour is and what conditions lead to it, we perform a classification of dynamical attractors of two-field inflation that are of the scaling type.
Scaling solutions form a one-parameter generalization of De Sitter solutions with a constant value of the first Hubble flow parameter $\epsilon$ and, as we argue and demonstrate, form a natural starting point for the study of non-slow-roll slow-turn behaviour.
All scaling solutions can be classified as critical points of a specific dynamical system.