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A Newtonian-like theory inspired by the Brans-Dicke gravitational Lagrangian has been recently proposed in Ref. arXiv:2009.04434(v4). We propose here a new variant of this theory such that the usual Newtonian second law is preserved. The…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Felipe S. Escórcio , Júlio C. Fabris , Júnior D. Toniato , Hermano Velten

We consider the growth of primordial dark matter halos seeded by three crossed initial sine waves of various amplitudes. Using a Lagrangian treatment of cosmological gravitational dynamics, we examine the convergence properties of a…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-18 Shohei Saga , Atsushi Taruya , Stéphane Colombi

We present the dynamical analysis for interacting quintessence, considering linear cosmological perturbations. Matter perturbations improve the background analysis and viable critical points describing the transition of the three…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Ricardo G. Landim

We perform for the first time a dynamical system analysis of both the background and perturbation equations, of $\Lambda$CDM cosmology and quintessence scenario with an exponential potential. In the former case the perturbations do not…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Spyros Basilakos , Genly Leon , G. Papagiannopoulos , Emmanuel N. Saridakis

We study in some detail an interacting cosmological model based on two canonical scalar fields starting from a Lagrangian description. Contrary to other more phenomenological approaches where non-relativistic matter and dark energy are…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Grigoris Panotopoulos , Ilídio Lopes

We develop a framework in which to make sense of solutions containing the vacuum in Lagrangian gas dynamics. At and near vacuum, the specific volume becomes infinite and enclosed vacuums are represented by Dirac masses, so they cannot be…

Analysis of PDEs · Mathematics 2017-09-05 Alexey Miroshnikov , Robin Young

Non-autonomous perturbations of isochronous systems in the plane are considered. It is assumed that the intensity of perturbations decays with time, and the frequency is asymptotically constant with the limiting value satisfying a resonance…

Dynamical Systems · Mathematics 2024-05-27 Oskar A. Sultanov

In this study, we present the evolution of cosmological perturbations in a universe consisting of standard matter and interacting vacuum. We use the $1 + 3$ covariant formalism in perturbation framework and consider two different models for…

General Relativity and Quantum Cosmology · Physics 2024-01-15 Albert Munyeshyaka , Joseph Ntahompagaze , Tom Mutabazi , Manasse. R Mbonye , Abraham Ayirwanda , Fidele Twagirayezu , Amare Abebe

We study teleparallel gravitational theories with are invariant under the conformal transformations. Wide family of the gravitational Lagrangians that are invariant under conformal transformations have investigated. Cosmological solutions…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Davood Momeni , Ratbay Myrzakulov

We consider the classical linear stability of a static universe filled with a non-interacting mixture of isotropic radiation and a ghost scalar field. Unlike the conventional Einstein static model, this cosmology is stable against…

General Relativity and Quantum Cosmology · Physics 2009-11-19 John D Barrow , Christos G Tsagas

In this study, we explore the thermodynamic aspects of a modified version of Rastall's gravity theory and its implications for cosmological scenarios. We analyze the role of non-conserved energy-momentum tensor equations and investigate…

General Relativity and Quantum Cosmology · Physics 2025-12-01 José A. C. Nogales , K. Luz-Burgoa , Laysa G. Martins

Increasingly accurate observations are driving theoretical cosmology toward the use of more sophisticated descriptions of matter and the study of nonlinear perturbations of FL cosmologies, whose governing equations are notoriously…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Claes Uggla , John Wainwright

The classical evolution of a homogeneous cosmological model is investigated within the framework of low - energy effective string gravity with higher genus corrections. Various conformal frames are considered. For the general case of…

High Energy Physics - Theory · Physics 2008-11-26 Aram A. Saharian

One of the greatest problems of standard cosmology is the Big Bang singularity. Previously it has been shown that non-local ghostfree higher-derivative modifications of Einstein gravity in the ultra-violet regime can admit non-singular…

High Energy Physics - Theory · Physics 2010-12-03 Tirthabir Biswas , Tomi Koivisto , Anupam Mazumdar

We study the cosmology of a Lee-Wick type scalar field theory. First, we consider homogeneous and isotropic background solutions and find that they are nonsingular, leading to cosmological bounces. Next, we analyze the spectrum of…

High Energy Physics - Theory · Physics 2009-11-18 Yi-Fu Cai , Taotao Qiu , Robert Brandenberger , Xinmin Zhang

We investigate tachyon dynamics with an inverse power-law potential $V(\phi) \propto \phi^{-\alpha}$. We find global attractors of the dynamics leading to a dust behaviour for $\alpha > 2$ and to an accelerating universe for $0 < \alpha \le…

Astrophysics · Physics 2011-07-18 L. Raul W. Abramo , Fabio Finelli

We consider the model of modified gravity with dynamical torsion. This model was found to have promising stability properties about various backgrounds. The model admits a self-accelerating solution. We have shown previously that if the…

High Energy Physics - Theory · Physics 2018-03-28 V. Nikiforova

Evolution of primordial fluctuations in a Brans-Dicke type scalar-tensor gravity theory is comprehensively investigated. The harmonic attractor model, in which the scalar field has its harmonic effective potential in the Einstein conformal…

Astrophysics · Physics 2009-11-07 Ryo Nagata , Takeshi Chiba , Naoshi Sugiyama

The general k-essence Lagrangian for the existence of cosmological scaling solutions is derived in the presence of multiple scalar fields coupled to a barotropic perfect fluid. In addition to the scaling fixed point associated with the…

General Relativity and Quantum Cosmology · Physics 2014-07-14 Takeshi Chiba , Antonio De Felice , Shinji Tsujikawa

In a spatially flat \ Friedmann--Lema\^{\i}tre--Robertson--Walker background space we consider a scalar-torsion gravitational model which has similar properties with the dilaton theory. This teleparallel model is invariant under a discrete…

General Relativity and Quantum Cosmology · Physics 2021-07-19 Andronikos Paliathanasis