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We study the cosmological evolution of isotropic matter on an infinitely thin conical codimension-two brane-world. Our analysis is based on the boundary dynamics of a six-dimensional model in the presence of an induced gravity term on the…

High Energy Physics - Theory · Physics 2009-11-11 Eleftherios Papantonopoulos , Antonios Papazoglou

We apply the dynamical systems tools to study the linear dynamics of a self-interacting scalar field trapped in the braneworld, for a wide variety of self-interaction potentials. We focus on Randall-Sundrum (RS) and on…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yoelsy Leyva , Dania Gonzalez , Tame Gonzalez , Tonatiuh Matos , Israel Quiros

The presence of phantom dark energy in brane world cosmology generates important new effects, causing a premature Big Rip singularity when we increase the presence of extra dimension and considerably competing with the other components of…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Rubén O. Acuña-Cárdenas , J. A. Astorga-Moreno , Miguel A. Garcia-Aspeitia , J. C. López-Domínguez

In this work, we analyse the late-time evolution of the universe for a particular $f(R)$ gravity model built from an exponential function of the scalar curvature. Following the literature, we write the field equations in terms of a suited…

General Relativity and Quantum Cosmology · Physics 2023-10-18 A. Oliveros , Mario A. Acero

We apply the dynamical systems tools to study the (linear) cosmic dynamics of a Dirac-Born-Infeld-type field trapped in the braneworld. We focus,exclusively, in Randall-Sundrum and in Dvali-Gabadadze-Porrati brane models. We analyze the…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Ricardo Garcia-Salcedo , Dania Gonzalez , Tame Gonzalez , Claudia Moreno , Israel Quiros

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

We consider an extended scalar-tensor theory of gravity where the action has two interacting scalar fields, a Brans-Dicke field which makes the effective Newtonian constant a function of coordinates and a Higgs field which has derivative…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Soumya Chakrabarti

In this paper we investigate, from the dynamical systems perspective, the evolution of an scalar field with arbitrary potential trapped in a Randall-Sundrum's Braneworld of type 2. We consider an homogeneous but anisotropic Bianchi I (BI)…

General Relativity and Quantum Cosmology · Physics 2012-10-29 Dagoberto Escobar , Carlos R. Fadragas , Genly Leon , Yoelsy Leyva

In this letter we apply dynamical system methods to study all evolutional paths admissible for all initial conditions of the FRW cosmological model with a non-minimally coupled to gravity scalar field and a barotropic fluid. We choose…

Astrophysics · Physics 2011-07-13 Marek Szydlowski , Orest Hrycyna

In this work, considering the background dynamics of flat Friedmann-Lemaitre-Robertson-Walker(FLRW) model of the universe, we investigate a scalar field model as dark energy candidate which interacting with the pressure-less dust as dark…

General Relativity and Quantum Cosmology · Physics 2023-05-25 Goutam Mandal , Soumya Chakraborty , Sudip Mishra , Sujay Kr. Biswas

We derive dynamical equations to describe a single 3-brane containing fluid matter and a scalar field coupling to the dilaton and the gravitational field in a five dimensional bulk. First, we show that a scalar field or an arbitrary fluid…

High Energy Physics - Theory · Physics 2012-10-23 Timon Boehm , Ruth Durrer , Carsten van de Bruck

We perform a detailed phase-space analysis of various phantom cosmological models, where the dark energy sector interacts with the dark matter one. We examine whether there exist late-time scaling attractors, corresponding to an…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Xi-ming Chen , Yungui Gong , Emmanuel N. Saridakis

This thesis employs the dynamical systems approach to explore two cosmological models: an anisotropic dark energy scenario in a Bianchi-I background and the Generalized SU(2) Proca (GSU2P) theory in a flat FLRW background. In the first…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Santiago García-Serna

We use a dynamical systems approach to investigate Bianchi type I and II universes in quadratic theories of gravity. Due to the complicated nature of the equations of motion we focus on the stability of exact solutions and find that there…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John D. Barrow , Sigbjorn Hervik

If the observable universe is a braneworld of Randall-Sundrum type, then particle interactions at high energies will produce 5-dimensional gravitons that escape into the bulk. As a result, the Weyl energy density on the brane does not…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Emily Leeper , Roy Maartens , Carlos Sopuerta

The Cobordism Conjecture states that any Quantum Gravity configuration admits, at topological level, a boundary ending spacetime. We study the dynamical realization of cobordism, as spacetime dependent solutions of Einstein gravity coupled…

High Energy Physics - Theory · Physics 2022-07-13 Roberta Angius , José Calderón-Infante , Matilda Delgado , Jesús Huertas , Angel M. Uranga

We study two cosmological models: A non-minimally coupled scalar field on brane world model and a minimally coupled scalar field on Lorentz invariance violation model. We compare some cosmological results in these scenarios. Also, we…

General Relativity and Quantum Cosmology · Physics 2013-04-22 S. Davood Sadatian

A thermodynamic description of cosmological spacetimes may provide insights into the fundamentals of the cosmic evolution that remain otherwise obscure, similar to `black hole thermodynamics'. We investigate the thermodynamic properties of…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Dipayan Mukherjee , Harkirat Singh Sahota , Swati Gavas

We perform a phase space analysis of a generalized modified gravity theory with nonminimally coupling between geometry and matter. We apply the dynamical system approach to this generalized model and find that in the cosmological context,…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Rui An , Xiaodong Xu , Bin Wang , Yungui Gong

The cosmology of the Randall-Sundrum scenario for a positive tension brane in a 5-D Universe with localized gravity has been studied extensively recently. Here we extend it to more general situations. We consider the time-dependent…

High Energy Physics - Theory · Physics 2008-11-26 Horace Stoica , S. -H. Henry Tye , Ira Wasserman