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The impact of topological terms that modify the Hilbert-Einstein action is here explored by virtue of a further $f(G)$ contribution. In particular, we investigate the phase-space stability and critical points of an equivalent scalar field…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Giannis Papagiannopoulos , Orlando Luongo , Genly Leon , Andronikos Paliathanasis

We study the modifications induced on scalar field inflation produced by considering a general modification of the Heisenberg algebra. We proceed by modifying the Poisson brackets on the classical theory whenever the corresponding quantum…

General Relativity and Quantum Cosmology · Physics 2024-08-13 H. Garcia-Compean , D. Mata-Pacheco

A unified multi scalar field model with three flat regions is discussed. The three flat regions are the inflation, early and late dark energy epochs. The potential is obtained by a spontaneous breaking of scale invariance generated by Non…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Eduardo Guendelman , Ramon Herrera , David Benisty

We derive a generalized expressions for the scalar power spectrum and the observational parameters of inflation (the scalar spectral index $n_{\rm s}$ and the tensor-to-scalar ratio $r$) for several single field scalar models minimally…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Marko Stojanovic , Dragoljub D. Dimitrijevic , Milan Milosevic

In the standard inflationary paradigm, cosmological density perturbations are generated as quantum fluctuations in the early Universe, but then undergo a quantum-to-classical transition. A key role in this transition is played by squeezing…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Roland de Putter , Olivier Doré

We apply a quadratic teleparallel torsion scalar of the $f(T)=T+\alpha T^{2}$ field equations to the spatially flat Friedmann-Robertson-Walker (FRW) model. We assume two perfect fluid components, the matter component has a fixed equation of…

General Relativity and Quantum Cosmology · Physics 2015-04-07 G. G. L. Nashed , W. El Hanafy , Sh. Kh. Ibrahim

Generalized slow roll conditions and parameters are obtained for a general form of scalar-tensor theory (with no external sources), having arbitrary functions describing a nonminimal gravitational coupling F(\phi), a Kahler-like kinetic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. R. Morris

A frame representation is used to derive a first order quasi-linear symmetric hyperbolic system for a scalar field minimally coupled to gravity. This procedure is inspired by similar evolution equations introduced by Friedrich to study the…

General Relativity and Quantum Cosmology · Physics 2017-10-17 Artur Alho , Filipe C. Mena , Juan A. Valiente Kroon

We investigate isotropic and homogeneous cosmological scenarios in the scalar-tensor theory of gravity with non-minimal derivative coupling of a scalar field to the curvature given by the term $(\zeta/H_0^2) G^{\mu\nu}\nabla_\mu\phi…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Sergey V. Sushkov , Rafkat Galeev

In the framework of classical scale invariance, we consider quadratic gravity in the Palatini formalism and investigate the inflationary predictions of the theory. Our model corresponds to a two-field scalar-tensor theory, that involves the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-28 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Vassilis C. Spanos

We present some features of early universe cosmology in terms of Hankel functions index ($\nu$). Actually, the recent data from observational cosmology indicate that our universe was nearly de Sitter space-time in the early times which…

High Energy Physics - Theory · Physics 2018-04-06 E. Yusofi , M. Mohsenzadeh

We examine the role of using symmetry and effective field theory in inflationary model building. We describe the standard formulation of starting with an approximate shift symmetry for a scalar field, and then introducing corrections…

High Energy Physics - Theory · Physics 2015-07-29 Mark P. Hertzberg

We study a class of minimally coupled scalar field theories which leads to analytic solutions for the Hubble rate and the scalar field, where the scalar field obeys a generalized tracking law $\dot{\phi}^2\sim H^{-m}$. The inflationary…

General Relativity and Quantum Cosmology · Physics 2026-03-17 V. K. Oikonomou

The inflation model with non-minimal coupling scalar field in the context of the hybrid metric Palatini is studied in this paper. We derive the Einstein's field equations, the equations of motion of the scalar field. Furthermore,the…

General Relativity and Quantum Cosmology · Physics 2024-02-29 Brahim Asfour , Aatifa Bargach , Ahmed Errahmani , Taoufik Ouali

The scale invariance of the universe is slightly broken by slow roll parameters. It is likely the slow roll is dual to the random walk. We investigate the distribution function of the conformal zeromode. We identify de Sitter entropy…

High Energy Physics - Theory · Physics 2022-06-16 Yoshihisa Kitazawa

We compute the rate with which super-Hubble cosmological fluctuations are decohered during inflation, by their gravitational interactions with unobserved shorter-wavelength scalar and tensor modes. We do so using Open Effective Field Theory…

High Energy Physics - Theory · Physics 2023-07-12 C. P. Burgess , R. Holman , Greg Kaplanek , Jerome Martin , Vincent Vennin

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

In the phase space perspective, scalar field slow roll inflation is described by a heteroclinic orbit from a saddle type fixed point to a final attractive point. In many models the saddle point resides in the scalar field asymptotics, and…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Laur Järv , Dmitri Kraiko

We develop a physics-facing version of the persistence/transition-variety framework for scalar-field cosmology, tailored to inflationary dynamics. The guiding idea is that observationally viable inflationary models are often best understood…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Spiros Cotsakis

In this paper we analyze scalar gravitational perturbations on a Robertson-Walker background in the presence of multiple scalar fields that take values on a (geometrically non-trivial) field manifold during slow-roll inflation. For this…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Groot Nibbelink , B. J. W. van Tent