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The issues of quintessence and cosmic acceleration can be discussed in the framework of higher order theories of gravity. We can define effective pressure and energy density directly connected to the Ricci scalar of curvature of a generic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Salvatore Capozziello

Theoretical considerations motivate us to consider vacuum energy to be able to decay and to assume that the spatial geometry of the universe is closed. Combining both aspects leads to the possibility that the universe, or certain regions…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Jean-Luc Lehners , Jerome Quintin

Topological defects may play the role of the curvatons. We propose a new mechanism of generating density perturbations from cosmological defects in inflationary models. We show several examples in which defects play crucial role in…

High Energy Physics - Phenomenology · Physics 2009-11-11 Tomohiro Matsuda

The Lamb shift results from the coupling of an atom to vacuum fluctuations of quantum fields, so corrections are expected to arise when the spacetime is curved since the vacuum fluctuations are modified by the presence of spacetime…

General Relativity and Quantum Cosmology · Physics 2012-11-02 Wenting Zhou , Hongwei Yu

In slow roll inflation, the running of the spectral tilt is generically proportional to the square of the deviation from scale invariance, $\alpha_s \propto (n_s-1)^2$, and it is therefore currently undetectable. We present a mechanism able…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Marco Peloso , Lorenzo Sorbo , Gianmassimo Tasinato

A recent variant of the inflationary paradigm is that the ``primordial'' curvature perturbations come from quantum fluctuations of a scalar field, subdominant and effectively massless during inflation, called the ``curvaton'', instead of…

Astrophysics · Physics 2009-11-10 David Langlois , Filippo Vernizzi

We are concerned with the study of different notions of curvature on graphs. We show that if a graph has stronger inner-outer curvature growth than a model graph, then it has faster volume growth too. We also study the relationhips of…

Differential Geometry · Mathematics 2020-09-29 Andrea Adriani , Alberto G. Setti

The cosmological curvature perturbation may be generated when some `curvaton' field, different from the inflaton, oscillates in a background of unperturbed radiation. In its simplest form the curvaton paradigm requires the Hubble parameter…

High Energy Physics - Theory · Physics 2008-11-26 David H. Lyth

We present a new general mechanism for generating curvature perturbations after inflation. Our model is based on the simple assumption that a field that starts to oscillate after inflation has a potential characterized by an underlying…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tomohiro Matsuda

We consider the possibility of suppressing superhorizon curvature perturbations after the end of the ordinary slow-roll inflationary stage. This is the opposite of the curvaton limit. We assume that large curvature perturbations are created…

High Energy Physics - Phenomenology · Physics 2009-11-11 Martin S. Sloth

We study the evolution of cosmological fluctuations during and after inflation driven by a scalar field coupled to a perfect fluid through afriction term. During the slow-roll regime for the scalar field, the perfect fluid is also frozen…

Astrophysics · Physics 2008-12-18 F. Di Marco , F. Finelli , A. Gruppuso

We study both oscillating and inflating curvaton scenarios when the curvaton mechanism is caused by a hybrid potential. The source of the curvature perturbation is the inhomogeneous phase transition that causes the modulation of the onset…

High Energy Physics - Phenomenology · Physics 2013-05-30 Konstantinos Dimopoulos , Kazunori Kohri , Tomohiro Matsuda

Everyday experience confirms the tendency of adhesive films to detach from spheroidal regions of rigid substrates -- what is a petty frustration when placing a sticky bandage onto an elbow or knee is a more serious matter in the coating and…

Although $f(R)$ modified gravity models can be made to satisfy solar system and cosmological constraints, it has been shown that they have the serious drawback of the nonexistence of stars with strong gravitational fields. In this paper, we…

Astrophysics · Physics 2009-01-21 Tsutomu Kobayashi , Kei-ichi Maeda

The gluing technique is used to construct hypersurfaces in Euclidean space having approximately constant prescribed mean curvature. These surfaces are perturbations of unions of finitely many spheres of the same radius assembled end-to-end…

Differential Geometry · Mathematics 2009-02-23 Adrian Butscher

We treat quantum creation of gravitons by small scale factor oscillations around the average of an expanding universe. Such oscillations can arise in standard general relativity due to oscillations of a homogeneous, minimally coupled scalar…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Enrico D. Schiappacasse , L. H. Ford

Higher-curvature corrections to the effective gravitational action may leave signatures in the spectrum of primordial tensor perturbations if the inflationary energy scale is sufficiently high. In this paper we further investigate the…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-15 William Giarè , Fabrizio Renzi , Alessandro Melchiorri

We discuss the possible role of isocurvature perturbations for the quantum decoherence of the curvature perturbation during inflation. We point out that if the inflaton trajectory in field space is curved, the adiabatic mode is generically…

Astrophysics · Physics 2011-08-04 Tomislav Prokopec , Gerasimos I. Rigopoulos

We consider the possible decay of the inflaton into curvaton particles during reheating and analyse its effect on curvaton scenarios. Typical decay curvatons are initially relativistic then become non-relativistic, changing the background…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-05 Christian T Byrnes , Marina Cortês , Andrew R Liddle

Infrared gravitons are continually produced during inflation. Like all particles, their contribution to the vacuum energy comes not only from their bare kinetic energy but also from the interactions they have with other gravitons. These…

General Relativity and Quantum Cosmology · Physics 2015-05-27 N. C. Tsamis , R. P. Woodard