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We outline the geometric formulation of cosmological flows for FLRW models with scalar matter as well as certain aspects which arise in their study with methods originating from the geometric theory of dynamical systems. We briefly…

High Energy Physics - Theory · Physics 2019-10-23 Elena Mirela Babalic , Calin Iuliu Lazaroiu

We employ the superpotential technique for the reconstruction of cosmological models with a non-minimally coupled scalar field evolving on a spatially flat Friedmann-Robertson-Walker background. The key point in this method is that the…

General Relativity and Quantum Cosmology · Physics 2013-03-08 A. Yu. Kamenshchik , A. Tronconi , G. Venturi , S. Yu. Vernov

A scalar--tensor theory of gravity, containing an arbitrary coupling function $F(\phi)$ and a general potential $V(\phi)$, is considered in the context of a spatially flat FLRW model. The use of reparametrization invariance enables a…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Petros A. Terzis , N. Dimakis , T. Christodoulakis

The interplay between cosmology and strongly coupled dynamics can yield transient spectral features that vanish at late times, but which may leave behind phenomenological signatures in the spectrum of primordial fluctuations. Of particular…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-18 Jay Hubisz , Seung J. Lee , He Li , Bharath Sambasivam

The Multi-scalar field cosmology of the anisotropic Bianchi type I model is used in order to construct a family of potentials that are the best suited to model the inflation phenomenon. We employ the quantum potential approach to quantum…

General Relativity and Quantum Cosmology · Physics 2017-02-03 J. Socorro , Omar E. Núñez

Recently, an interesting class of the direct gauge mediation supersymmetry (SUSY) breaking models are proposed, in which the minimum of the potential of the SUSY breaking field is determined by the inverted hierarchy mechanism. We consider…

High Energy Physics - Phenomenology · Physics 2014-11-17 Takeo Moroi

On the basis of a qualitative and numerical analysis of a cosmological model based on an asymmetric scalar doublet of nonlinear, minimally interacting scalar fields, both classical and phantom, the behavior of the model near zero energy…

General Relativity and Quantum Cosmology · Physics 2019-07-05 Yu. G. Ignat'ev , I. A. Kokh

We consider a cosmological model with two scalar fields minimally coupled to gravity which have a mixed kinetic term. Hence, Chiral cosmology is included in our analysis. The coupling function and the potential function, which depend on one…

General Relativity and Quantum Cosmology · Physics 2019-09-04 N. Dimakis , A. Paliathanasis , Petros A. Terzis , T. Christodoulakis

We consider cosmological models with an arbitrary number of scalar fields nonminimally coupled to gravity and construct new integrable cosmological models. In the constructed models, the Ricci scalar is an integral of motion irrespectively…

General Relativity and Quantum Cosmology · Physics 2025-05-23 V. R. Ivanov , S. Yu. Vernov

We apply the technique of standard supersymmetric factorization for any q factor ordering in the Wheeler-DeWitt (WDW) equation for barotropic Friedmann-Robertson-Walker (FRW) minisuperspace model, including the cosmological term. The…

Mathematical Physics · Physics 2009-11-10 J. Socorro , M. A. Reyes , F. A. Gelbert

We present the solution space for the case of a minimally coupled scalar field with arbitrary potential in a FLRW metric. This is made possible due to the existence of a nonlocal integral of motion corresponding to the conformal Killing…

General Relativity and Quantum Cosmology · Physics 2016-06-22 N. Dimakis , A. Karagiorgos , Adamantia Zampeli , Andronikos Paliathanasis , T. Christodoulakis , Petros A. Terzis

FLRW equations are analyzed in a universe with a cosmic scalar background that is spatially uniform but time-varying. Some solvable potentials to the combined dynamics in such a universe are presented, that are consistent with the scalar…

General Relativity and Quantum Cosmology · Physics 2023-04-17 B. S. Balakrishna

In the present work we perform a phase-plane analysis of the complete dynamical system corresponding to a flat FRW cosmological models with a perfect fluid and a self-interacting scalar field and show that every positive and monotonous…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ana Nunes , Jose P. Mimoso

In the context of FRW spacetime with zero spatial curvature, we consider a multi-scalar tensor cosmology model under the pretext of obtaining quadratic conservation laws. We propose two new interaction potentials of the scalar field.…

Mathematical Physics · Physics 2020-01-09 Sameerah Jamal

The supersymmetric completion of $R+R^2$ gravity is known to be equivalent to standard supergravity coupled to two chiral supermultiples with a K\"ahler potential of the no-scale type. The generalization of this programme to $f(R)$ gravity…

High Energy Physics - Theory · Physics 2015-11-23 G. A. Diamandis , A. B. Lahanas , K. Tamvakis

Cosmological models based on an asymmetric scalar Higgs doublet (canonical $\Phi$ and phantom $\phi$ fields) with potential interaction between the components are proposed. A qualitative analysis of the corresponding dynamic systems is…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Yu. G. Ignat'ev , A. R. Samigullina

We study the coaction of cosmological wavefunction coefficients of conformally coupled scalars in FRW background of a two-site example, which turns out to have an elegant diagrammatic interpretation. We show how the coaction acts on the…

High Energy Physics - Theory · Physics 2026-03-27 Yuhan Fu , Jiahao Liu

We consider the appearance of multiple scalar fields in SFT inspired non-local models with a single scalar field at late times. In this regime all the scalar fields are free. This system minimally coupled to gravity can be analyzed…

High Energy Physics - Theory · Physics 2011-01-24 Federico Galli , Alexey S. Koshelev

We study the conditions of restoring supersymmetry (SUSY) after inflation in the supergravity-based cosmological models with a single chiral superfield and a quartic stabilization term in the K\"ahler potential. Some new, explicit, and…

High Energy Physics - Theory · Physics 2016-08-09 Sergei V. Ketov , Takahiro Terada

We explore the role of explicit nonrenormalizable $R$-symmetry breaking interactions in the context of supersymmetric hybrid inflation. In particular, we focus on scenarios where such breaking arises predominantly from the K\"{a}hler…

High Energy Physics - Phenomenology · Physics 2025-07-28 Muhammad Nadeem Ahmad , Mansoor Ur Rehman