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Starobinsky has suggested an inflation model which is obtained from the vacuum Einstein's equations modified by the one-loop corrections due to quantized matter fields. Although the one-loop gravitational action is not known for a general…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-06 Seokcheon Lee

We present a model of inflation based on the anomaly-induced effective action of gravity in the presence of a conformally invariant Hilbert-Einstein term. Our approach is based on the conformal representation of the fields action and on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ilya L. Shapiro , Joan Sola

The stable version of the anomaly-induced inflation does not need a fine tuning and leads to sufficient expansion of the Universe. The non-stable version (Starobinsky model) provides the graceful exit to the FRW phase. We indicate the…

High Energy Physics - Phenomenology · Physics 2009-02-25 Ilya L. Shapiro

The Starobinsky model was born in a cosmological scenario where conformally coupled matter quantum field fluctuations on the vacuum drive a non trivial semiclassical energy momentum tensor quadratic in curvature. The presence of an unstable…

High Energy Physics - Theory · Physics 2025-02-20 Roberto Percacci , Gian Paolo Vacca

We analyze various phases of inflation based on the anomaly-induced effective action of gravity (modified Starobinsky model), taking the cosmological constant Lambda and k=0, +/- 1 topologies into account. The total number of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. M. Pelinson , I. L. Shapiro , F. I. Takakura

We discuss the stability of the anomaly-induced inflation (modified Starobinsky model) with respect to the arbitrary choice of initial data and with respect to the small perturbations of the conformal factor and tensor modes of the metric…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. M. Pelinson , I. L. Shapiro , F. I. Takakura

We consider the Starobinsky inflation with a set of higher order corrections parametrised by two real coefficients $\lambda_1, \lambda_2$. In the Einstein frame we have found a potential with the Starobinsky plateau, steep slope and…

High Energy Physics - Theory · Physics 2015-02-06 Michal Artymowski , Zygmunt Lalak , Marek Lewicki

Models of cosmological inflation resembling the Starobinsky R + R^2 model emerge naturally among the effective potentials derived from no-scale SU(N,1)/SU(N) x U(1) supergravity when N > 1. We display several examples in the SU(2,1)/SU(2) x…

High Energy Physics - Theory · Physics 2015-06-16 John Ellis , Dimitri V. Nanopoulos , Keith A. Olive

Data on the cosmic microwave background (CMB) are discriminating between different models of inflation, disfavoring simple monomial potentials whilst being consistent with models whose predictions resemble those of the Starobinsky $R + R^2$…

High Energy Physics - Phenomenology · Physics 2025-04-21 Ignatios Antoniadis , John Ellis , Wenqi Ke , Dimitri V. Nanopoulos , Keith A. Olive

We describe the primeval inflationary phase of the early Universe within a quantum field theoretical (QFT) framework that can be viewed as the effective action of vacuum decay in the early times. Interestingly enough, the model accounts for…

General Relativity and Quantum Cosmology · Physics 2016-07-22 Spyros Basilakos , Nick E. Mavromatos , Joan Sola

In the new-minimal supergravity formulation we present the embedding of the $R+R^2$ Starobinsky model of inflation. Starting from the superspace action we perform the projection to component fields and identify the Starobinsky model in the…

High Energy Physics - Theory · Physics 2015-09-02 Fotis Farakos

This paper investigates Starobinsky's model of inflation driven by the trace anomaly of conformally coupled matter fields. This model does not suffer from the problem of contrived initial conditions that occurs in most models of inflation…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , T. Hertog , H. S. Reall

The anomaly-induced inflation (modified Starobinsky model) is based on the application of the effective quantum field theory approach to the Early Universe. We present a brief general review of this model with a special attention to the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ilya L. Shapiro

We compute corrections to the inflationary potential due to conformally coupled non-relativistic matter. We find that under certain conditions of the matter coupling, inflation may be interrupted abruptly. We display this in the…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Sebastian Cespedes , Anne-Christine Davis

The first inflationary model conceived was the one proposed by Starobinsky which includes an additional term quadratic in the Ricci-scalar R in the Einstein-Hilbert action. The model is now considered a target for several future cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-27 S. Santos da Costa , M. Benetti , R. M. P. Neves , F. A. Brito , R. Silva , J. S. Alcaniz

In this paper we will discuss a new model for inflation based on topological ideas. For that purpose we will consider the change of the topology of the spatial component seen as compact 3-manifold. We analyzed the topology change by using…

General Physics · Physics 2018-12-20 Torsten Asselmeyer-Maluga , Jerzy Krol

We analyze the Starobinsky inflation model and the impact of curvature corrections, particularly a cubic $R^3$ term, to assess their behavior in light of the latest observational results from the Atacama Cosmology Telescope (ACT). With the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-30 J. Bezerra-Sobrinho , L. G. Medeiros

We present a simple and self-consistent cosmology with a phenomenological model of quantum creation of radiation and matter due to decay of the cosmological constant $\Lambda$. The decay drives a non-isentropic inflationary epoch, which…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Edgard Gunzig , Alexei Nesteruk , Martin Stokley

This paper focuses on the Starobinsky model of inflation. We derive solutions for various cosmological observables, such as the scalar spectral index $n_s$, the tensor-to-scalar ratio $r$ and their runnings, as well as the number of…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Gabriel German , Juan Carlos Hidalgo , Luis E. Padilla

The recent CMB data from Planck and BICEP2 observations have opened a new window for inflationary cosmology. In this Essay we compare three Starobinsky-like inflationary scenarios: (i) the original Starobinsky proposal; (ii) a family of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 S. Basilakos , J. A. S. Lima , J. Solà
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