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We show that curvature perturbations acquire a scale invariant spectrum for any constant equation of state, provided the fluid has a suitably time-dependent sound speed. In order for modes to exit the physical horizon, and in order to solve…

High Energy Physics - Theory · Physics 2011-03-18 Justin Khoury , Federico Piazza

We examine the conditions under which a perturbative expansion around an inflating background is valid. When inflation is driven by a single field with a general sound speed, we find a lower limit on the sound speed related to the amplitude…

High Energy Physics - Theory · Physics 2008-11-26 Louis Leblond , Sarah Shandera

We investigate the general properties of expanding cosmological models which generate scale-invariant curvature perturbations in the presence of a variable speed of sound. We show that in an expanding universe, generation of a super-Hubble,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Ghazal Geshnizjani , William H. Kinney , Azadeh Moradinezhad Dizgah

Recently, we introduced an ekpyrotic model based on a single, canonical scalar field that generates nearly scale invariant curvature fluctuations through a purely "adiabatic mechanism" in which the background evolution is a dynamical…

High Energy Physics - Theory · Physics 2011-06-13 Justin Khoury , Paul J. Steinhardt

We derive all single-field cosmologies with unit sound speed that generate scale invariant curvature perturbations on a dynamical attractor background. We identify three distinct phases: slow-roll inflation; a slowly contracting adiabatic…

High Energy Physics - Theory · Physics 2011-08-08 Justin Khoury , Godfrey E. J. Miller

The evolution of gauge invariant second-order scalar perturbations in a general single field inflationary scenario are presented. Different second order gauge invariant expressions for the curvature are considered. We evaluate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

We study models of inflation with two scalar fields and non-canonical kinetic terms, focusing on the case in which the curvature and isocurvature perturbations are strongly coupled to each other. In the regime where a heavy mode can be…

High Energy Physics - Theory · Physics 2011-03-10 Sera Cremonini , Zygmunt Lalak , Krzysztof Turzynski

The effective theory of adiabatic fluctuations around arbitrary Friedmann-Robertson-Walker backgrounds - both expanding and contracting - allows for more than one way to obtain scale-invariant two-point correlations. However, as we show in…

High Energy Physics - Theory · Physics 2015-05-27 Daniel Baumann , Leonardo Senatore , Matias Zaldarriaga

We employ the formalism of the effective field theory of inflation to study the effects of a sudden change in the speed of sound of the inflationary perturbations. Such an event generates a feature with high frequency oscillations both in…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Minjoon Park , Lorenzo Sorbo

For any physical system satisfying the Einstein's equations, the comoving curvature perturbations satisfy an equation involving the momentum-dependent effective sound speed, valid for any system with a well defined energy-stress tensor,…

General Relativity and Quantum Cosmology · Physics 2022-10-24 Antonio Enea Romano , Sergio Andrés Vallejo-Peña , Krzysztof Turzyński

In this letter we study adiabatic and isocurvature perturbations in the frame of inflation with multiple sound speeds involved. We suggest this scenario can be realized by a number of generalized scalar fields with arbitrary kinetic forms.…

High Energy Physics - Theory · Physics 2010-12-17 Yi-Fu Cai , Hai-Ying Xia

We discuss and clarify the validity of effective single field theories of inflation obtained by integrating out heavy degrees of freedom in the regime where adiabatic perturbations propagate with a suppressed speed of sound. We show by…

High Energy Physics - Theory · Physics 2012-12-17 Ana Achucarro , Vicente Atal , Sebastian Cespedes , Jinn-Ouk Gong , Gonzalo A. Palma , Subodh P. Patil

Four-dimensional gravitational theories derived from an infinite sum of Lovelock curvature invariants, combined with a conformal rescaling of the metric, are equivalent to a subclass of shift-symmetric Horndeski theories that possess a…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Shinji Tsujikawa

A sufficiently rigid relativistic elastic solid can be stable for negative pressure values and thus is capable of driving a stage of accelerated expansion. If a relativistic elastic solid drove an inflationary stage in the early Universe,…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-02 Michael Sitwell , Kris Sigurdson

In this paper, we study the impact of non-trivial sound on the evolution of cosmological complexity in inflationary period. The vacuum state of curvature perturbation could be treated as squeezed states with two modes, characterized by the…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Lei-Hua Liu , Ai-Chen Li

Heavy fields coupled to the inflaton reduce the speed of sound in the effective theory of the adiabatic mode each time the background inflationary trajectory deviates from a geodesic. This can result in features in the primordial spectra.…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-12 Ana Achúcarro , Jinn-Ouk Gong , Gonzalo A. Palma , Subodh P. Patil

The decrease of both the rolling speed of the inflaton and the sound speed of the curvature perturbations can amplify the curvature perturbations during inflation so as to generate a sizable amount of primordial black holes. In the…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Rongrong Zhai , Hongwei Yu , Puxun Wu

We study the realization of slow-roll inflation in $\mathcal N = 1$ supergravities where inflation is the result of the evolution of a single chiral field. When there is only one flat direction in field space, it is possible to derive a…

High Energy Physics - Theory · Physics 2016-10-12 Alexander Hetz , Gonzalo A. Palma

Inflationary perturbations in multi-field theories can exhibit a transient tachyonic instability as a consequence of their non-trivial motion in the internal field space. When an effective single-field description is applicable, the…

High Energy Physics - Theory · Physics 2018-11-07 Sebastian Garcia-Saenz , Sébastien Renaux-Petel

We examine the inflationary modes in the cubic curvature theories in the context of asymptotically safe gravity. On the phase space of the Hubble parameter, there exists a critical point which corresponds to the slow-roll inflation in…

General Relativity and Quantum Cosmology · Physics 2012-08-09 Sungwook E. Hong , Young Jae Lee , Heeseung Zoe
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