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In these lecture notes I review the theory of the non--linear evolution of cosmological perturbations in a self--gravitating collisionless medium, with vanishing vorticity. The problem is first analyzed in the context of the Newtonian…

Astrophysics · Physics 2015-06-24 Sabino Matarrese

We investigate interacting scenarios which belong to a wider class, since they include a dynamical dark energy component whose equation of state follows various one-parameter parametrizations. We confront them with the latest observational…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-20 Supriya Pan , Weiqiang Yang , Eleonora Di Valentino , Emmanuel N. Saridakis , Subenoy Chakraborty

We present a detailed numerical study of the impact that cosmological models featuring a direct interaction between the Dark Energy component that drives the accelerated expansion of the Universe and Cold Dark Matter can have on the linear…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Marco Baldi

Motivated by a recent work of us [1], we reconstruct the different f(T)-gravity models corresponding to a set of dark energy scenarios containing the polytropic, the standard Chaplygin, the generalized Chaplygin and the modified Chaplygin…

General Physics · Physics 2012-08-01 K. Karami , A. Abdolmaleki

Semiclassical methods are used to study the nonlinear interaction of light in vacuum in the context of four wave mixing. This study is motivated by a desire to investigate the possibility of using recently developed powerful ultrashort…

Optics · Physics 2014-11-18 F. Moulin , D. Bernard

A system of harmonic oscillators coupled via nonlinear interaction is a fundamental model in many branches of physics, from biophysics to electronics and condensed matter physics. In quantum optics, weak nonlinear interaction between light…

Quantum Physics · Physics 2017-10-24 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Huanqian Loh , Dzmitry Matsukevich

In this paper, we make a comparison for the impacts of smooth dynamical dark energy, modified gravity, and interacting dark energy on the cosmological constraints on the total mass of active neutrinos. For definiteness, we consider the…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-13 Ming-Ming Zhao , Rui-Yun Guo , Dong-Ze He , Jing-Fei Zhang , Xin Zhang

The introduction of an interaction for dark energy to the standard cosmology offers a potential solution to the cosmic coincidence problem. We examine the conditions on the dark energy density that must be satisfied for this scenario to be…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Micheal S. Berger , Hamed Shojaei

The present work deals with the dynamical system investigation of interacting dark energy models (quintessence and phantom) in the framework of Loop Quantum Cosmology by taking into account a broad class of self-interacting scalar field…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Hmar Zonunmawia , Wompherdeiki Khyllep , Nandan Roy , Jibitesh Dutta , Nicola Tamanini

We investigate an interacting two-fluid model in a spatially flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) Universe, when the energy transfer between these two dark components is produced by a factorisable nonlinear sign-changeable…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Fabiola Arevalo , Antonella Cid , Luis P. Chimento , Patricio Mella

We study dynamical behaviors of the dark energy models interacting with dark matter and unparticle in the standard flat FRW cosmology. We considered four different interacting models and examined the stability of the critical points. We…

General Relativity and Quantum Cosmology · Physics 2010-04-15 Songbai Chen , Jiliang Jing

Nonlinear density response theory is revisited focusing on the harmonically perturbed finite temperature uniform electron gas. Within the non-interacting limit, brute force quantum kinetic theory calculations for the quadratic, cubic,…

Quantum Gases · Physics 2023-05-23 Panagiotis Tolias , Tobias Dornheim , Zhandos A. Moldabekov , Jan Vorberger

We investigate a spatially flat Friedmann-Robertson-Walker universe that has an interacting dark matter, a modified holographic Ricci dark energy (MHRDE), plus a third, decoupled component that behaves as a radiation term. We consider a…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-01 Luis P. Chimento , Martín G. Richarte

It may well happen that the two main components of the dark sector of the Universe, dark matter and dark energy, do not evolve separately but interact nongravitationally with one another. However, given our current lack of knowledge on the…

General Relativity and Quantum Cosmology · Physics 2015-07-02 Sergio del Campo , Ramon Herrera , Diego Pavon

A non-minimal coupling between the dark matter and dark energy components may offer a way of solving the so-called coincidence problem. In this paper we propose a low-$z$ test for such hypothesis using measurements of the gas mass fraction…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-09 R. S. Goncalves , G. C. Carvalho , J. S. Alcaniz

Cosmological models where dark matter interacts with dark energy via a pure momentum transfer and with no energy exchange (i.e. elastic) provide compelling scenarios for addressing the apparent lack of structures at low redshift. In…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-11 Jose Beltrán Jiménez , David Figueruelo , David F. Mota , Hans A. Winther

We investigate non-gravitational signals of dark energy within the framework of gauge symmetry in the dark energy sector. Traditionally, dark energy has been primarily studied through gravitational effects within general relativity or its…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-15 Kunio Kaneta , Hye-Sung Lee , Jiheon Lee , Jaeok Yi

We discuss the onset of the non-linear regime in the context of unified dark matter models involving a generalised Chaplygin gas. We show that the transition from dark matter-like to dark energy-like behaviour will never be smooth. In some…

In this work, we investigate the cosmological dynamics of an anisotropic Universe within the framework of $f(R,T)$ gravity by incorporating pressureless dark matter and the dark energy models. The analysis is carried out in a Bianchi type-I…

General Relativity and Quantum Cosmology · Physics 2026-05-13 S. H. Shekh , N. Myrzakulov , Anirudh Pradhan , M. Zeyauddin

Dark energy is one of the deepest puzzles in modern cosmology, and mounting evidence suggests that it is not just a cosmological constant but a genuinely dynamical component. Although cosmology and dynamical systems theory emerged from…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Nandan Roy , L. Arturo Ureña-López