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Dynamical systems methods are used to investigate dynamics of a flat Friedmann-Robertson-Walker cosmological model with the non-minimally coupled scalar field and a potential function. Performed analysis distinguishes the value of…

General Relativity and Quantum Cosmology · Physics 2020-09-07 Orest Hrycyna

We study the renormalized energy-momentum tensor of gravitons in a de Sitter space-time. After canonically quantizing only the physical degrees of freedom, we adopt the standard adiabatic subtraction used for massless minimally coupled…

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

We propose a novel {\it k}-Gauss-Bonnet inflationary model, in which a kinetic term of scalar field is allowed to non-minimally couple to the Gauss-Bonnet topological invariant in the absence of a potential of scalar field. As a result,…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Tuyen M. Pham , Duy H. Nguyen , Tuan Q. Do

By analytically continuing recently-found instantons, we construct time-dependent solutions of Einstein-Maxwell de Sitter gravity which smoothly bounce between two de Sitter phases. These deformations of de Sitter space undergo several…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , J. F. Vazquez-Poritz , John E. Wang

A re-investigation of the gravothermal catastrophe is presented. By means of a linear perturbation analysis, we study the dynamical stability of a spherical self-gravitating isothermal fluid of finite volume and find that the conditions for…

Astrophysics of Galaxies · Physics 2015-06-12 M. C. Sormani , G. Bertin

It is shown that the squeezed limit of inflationary expectation values follows from reparametrization invariance of the wavefunction of the universe. This translates into a constraint on the longitudinal modes of functional derivatives of…

High Energy Physics - Theory · Physics 2018-03-28 Guilherme L. Pimentel

We consider a non-standard generalized model of gravity coupled to a neutral scalar "inflaton" as well as to the fields of the electroweak bosonic sector. The essential new ingredient is employing two alternative non-Riemannian space-time…

General Relativity and Quantum Cosmology · Physics 2017-09-18 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

In this paper, we would like to examine whether a novel Starobinsky-Bel-Robinson gravity model admits stable exponential inflationary solutions with or without spatial anisotropies. As a result, we are able to derive an exact de Sitter…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Tuan Q. Do , Duy H. Nguyen , Tuyen M. Pham

We give conditions to obtain cosmological asymptotic freedom in scalar-tensor theories of gravity. We show that this feature can be achieved in FRW flat spacetimes since we obtain singularity free solutions where the effective gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Salvatore Capozziello , Ruggiero de Ritis

In an induced-gravity model, the stability condition of an inflationary slow-rollover solution is shown to be $\phi_0 \partial_{\phi_0}V(\phi_0)=4V(\phi_0)$. The presence of higher derivative terms will, however, act against the stability…

High Energy Physics - Theory · Physics 2009-10-31 W. F. Kao

Quantum geometry gives a regularization scheme-independent effective action, whoes equation of motion for the conformal mode has a stable de Sitter solution at the high-energy region where the coupling of the self-interactions of the…

High Energy Physics - Theory · Physics 2016-12-21 Ken-ji Hamada

We present a dynamical analysis in terms of new expansion-normalized variables for homogeneous and anisotropic Bianchi-I spacetimes in $f(R)$ gravity in the presence of anisotropic matter. With a suitable choice of the evolution parameter,…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Saikat Chakraborty , Kazuharu Bamba , Alberto Saa

In literature there is a model of modified gravity in which the matter Lagrangian is coupled to the geometry via trace of the stress-energy momentum tensor $T=T_{\mu}^{\mu}$. This type of modified gravity is called as $f(R,T)$ in which $R$…

General Relativity and Quantum Cosmology · Physics 2016-08-30 M. J. S. Houndjo , M. E. Rodrigues , N. S. Mazhari , D. Momeni , R. Myrzakulov

We examine the cosmological dynamics of Einstein-Gauss-Bonnet gravity models in a four-dimensional spatially flat FLRW metric. These models are described by $f\left( R,\mathcal{G}\right) =f\left( R+\mu \mathcal{G}\right) $ theory of…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Nikolaos Dimakis , Alex Giacomini , Genly Leon , Andronikos Paliathanasis , Ekaterina Pozdeeva , Sergey Vernov

A quartic, self-interacting potential in the induced gravity framework is known to have a pure de Sitter attractor for the homogeneous mode. In order to obtain non-zero slow roll parameters we therefore study the quantum back-reaction of…

General Relativity and Quantum Cosmology · Physics 2011-09-20 A. Tronconi , G. Venturi

The generalized Gauss-Bonnet theory, introduced by Lagrangian F(R,G), has been considered as a general modified gravity for explanation of the dark energy. G is the Gauss-Bonnet invariant. For this model, we seek the situations under which…

General Relativity and Quantum Cosmology · Physics 2009-09-01 M. Alimohammadi , A. Ghalee

In this study, we explore the dynamics of the universe using a modified gravity model represented by $f(R, G, T)$, where $R$ is the Ricci scalar, $G$ is the Gauss-Bonnet invariant, and $T$ is the trace of the stress-energy tensor. The model…

General Relativity and Quantum Cosmology · Physics 2025-03-27 Farzad Milani

A modified-gravity theory is considered with a four-form field strength F, a variable gravitational coupling parameter G(F), and a standard matter action. This theory provides a concrete realization of the general vacuum variable q as the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 F. R. Klinkhamer , G. E. Volovik

The paper deals with a dynamical system analysis related to phantom cosmological model . Here gravity is coupled to phantom scalar field having scalar coupling function and a potential. The field equations are reduced to an autonomous…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Nilanjana Mahata , Subenoy Chakraborty

We consider the problem of constructing a non-singular inflationary universe in stringy gravity via branch changing, from a previously superexponentially expanding phase to an FRW-like phase. Our approach is based on the phase space…

High Energy Physics - Theory · Physics 2009-09-15 Nemanja Kaloper , Richard Madden , Keith A. Olive
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