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We analyse the evolution of cosmological perturbations which leads to the formation of large isolated voids in the Universe. We assume that initial perturbations are spherical and all components of the Universe (radiation, matter and dark…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Bohdan Novosyadlyj , Maksym Tsizh , Yurij Kulinich

In this thesis, we used dynamical systems analysis to find the qualitative behaviour of some dark energy models. Specifically, dynamical systems analysis of quintessence scalar field models, chameleon scalar field models and holographic…

General Relativity and Quantum Cosmology · Physics 2015-11-26 Nandan Roy

We study in detail the phase space of a Friedmann-Robertson-Walker Universe filled with various cosmological fluids which may or may not interact. We use various expressions for the equation of state, and we analyze the physical…

General Relativity and Quantum Cosmology · Physics 2017-09-13 S. D. Odintsov , V. K. Oikonomou , Petr V. Tretyakov

In this work, we explore the behavior of interacting dark energy and dark matter within a model of $f(Q)$ gravity, employing a standard framework of dynamical system analysis. We consider the power-law $f(Q)$ model incorporating with two…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Gaurav N. Gadbail , Simran Arora , Phongpichit Channuie , P. K. Sahoo

We study the evolution of the universe by assuming an integrated model, which involves interacting dark energy and holographic principle with Hubble scale as IR cutoff. First we determined the interaction rate at which matter is converting…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Bibekananda Nayak

The present work deals with a kinematic approach to the modelling the late time dynamics of the universe. This approach is based upon the assumption of constant value of cosmological jerk parameter, which is the dimensionless representation…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-12 Ankan Mukherjee , Narayan Banerjee

We study the dynamics of homogeneous and isotropic Friedmann-Lema\^itre-Robertson-Walker cosmological models with positive spatial curvature within the context of mimetic gravity theory by employing dynamical system techniques. Our analysis…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Alberto Fritis , Daniel Villalobos-Silva , Yerko Vásquez , Carlos H. López-Caraballo , Juan Carlos Helo

We investigate the cosmological evolution of the power law K-essence dark energy (DE) model $F(X)= -\sqrt{X} + X$ with a new interaction $Q = \alpha\rho _m\rho _{\phi }H^{-1}$ in FRWL spacetime. The evolution behavior of dark energy under…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Qile Zhang , Wei Fang , Chenggang Shu

The evolution of the Universe is traditionally examined by monitoring how its material content evolves as it expands. This model of an isolated system is expressed as the equation of motion of the bulk but segmented into different epochs.…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Bob Osano

This study explores the dynamics and phase-space behavior of a multi-component dark energy model, where the dark sector consists of a minimally coupled canonical scalar field and the cosmological constant, using a dynamical system analysis…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Prasanta Sahoo , Nandan Roy , Himadri Shekhar Mondal

In this work, we perform a detailed dynamical analysis for the cosmological applications of a nonminimal torsion-matter coupled gravity. Two alternative formalisms are proposed, which enable one to choose between the easier approach for a…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Sante Carloni , Francisco S. N. Lobo , Giovanni Otalora , Emmanuel N. Saridakis

In this paper, we propose a new approach to study the dark sector of the universe by considering the dark energy as emerging a q-deformed bosonic scalar field which is not only interacting with the dark matter, but also non-minimally…

General Relativity and Quantum Cosmology · Physics 2016-12-23 Emre Dil

The dynamical aspect of accelerating cosmological model has been studied in this paper in the context of modified symmetric teleparallel gravity, the $f(Q)$ gravity. Initially, we have derived the dynamical parameters for two well known…

General Relativity and Quantum Cosmology · Physics 2023-07-18 S. A. Narawade , Shashank P. Singh , B. Mishra

We investigate the dynamical behaviour of a general class of interacting models in the dark sector in which the phenomenological coupling between cold dark matter and dark energy is a power law of the cosmic scale factor. From numerical…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-04 F. E. M. Costa , A. O. Ribeiro , F. Roig

The standard model of cosmology considers the existence of two components of unknown nature, ``dark matter'' and ``dark energy'', which determine the cosmological evolution. Their nature remains unknown, and other models can also be…

Astrophysics · Physics 2007-05-23 A. Arbey

Dark energy is now one of the most important and topical problems in cosmology. The first step to reveal its nature is to detect the evolution of dark energy or to prove beyond doubt that the cosmological constant is indeed constant.…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-21 Krzysztof Bolejko

In this work, we study the dynamical systems analysis of phantom dark energy models considering a general potential. The stability analysis of the system shows that there is only one fixed point which could be the beginning of the universe…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Nandan Roy , Nivedita Bhadra

In this (second) part of the work we present the results of numerical and qualitative analysis, based on a new model of the Archimedean-type interaction between dark matter and dark energy. The Archimedean-type force is linear in the…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Alexander B. Balakin , Vladimir V. Bochkarev

We present a detailed investigation of the dynamical behavior of mimetic gravity with a general potential for the mimetic scalar field. Performing a phase-space and stability analysis, we show that the scenario at hand can successfully…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Jibitesh Dutta , Wompherdeiki Khyllep , Emmanuel N. Saridakis , Nicola Tamanini , Sunny Vagnozzi

Scalar field dynamics may give rise to a nonzero cosmological variation of fundamental constants. Within different scenarios based on the unification of gauge couplings, the various claimed observations and bounds may be combined in order…

High Energy Physics - Phenomenology · Physics 2010-04-21 Thomas Dent , Steffen Stern , Christof Wetterich