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In this work, we analyze the Einstein-scalar-Gauss-Bonnet (EsGB) theory of gravity in a cosmological context using the formalism of dynamical systems. We obtain the equations of motion of the theory and introduce an appropriate set of…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Miguel A. S. Pinto , João Luís Rosa

We present the covariant gravitational equations to describe a four-dimensional brane world in the case with the Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the $Z_2$ symmetric brane. It contains some…

High Energy Physics - Theory · Physics 2009-11-10 Kei-ichi Maeda , Takashi Torii

This course is an introduction to the physics of braneworlds. We concentrate on braneworlds with only one extra-dimension and discuss their gravity. We derive the gravitational equations on the brane from the bulk Einstein equation and…

High Energy Physics - Theory · Physics 2009-11-11 Ruth Durrer

The Friedmann equations for a brane with induced gravity are analyzed and compared with the standard general relativity and Randall-Sundrum cases. Randall-Sundrum gravity modified the early universe dynamics, whereas induced gravity changes…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Burin Gumjudpai

The stability conditions for coordinate gauge independent perturbations of brane-worlds are analyzed. It is shown that, these conditions lead to the Einstein-Hilbert dynamics and to a confined gauge potential, independently of models and…

High Energy Physics - Theory · Physics 2007-05-23 M. D. Maia , E. M. Monte

The study of the so called brane world models has introduced completely new ways of looking up on standard problems in many areas of theoretical physics. Inspired in the recent developments of string theory, the Brane World picture involves…

High Energy Physics - Phenomenology · Physics 2007-05-23 Abdel Pérez-Lorenzana

In this work we deal with the presence of braneworld solutions in a five-dimensional space-time with a single extra spatial dimension of infinite extent. The braneworld scenario is built under the presence of a single real scalar field, and…

High Energy Physics - Theory · Physics 2015-09-16 D. Bazeia , A. Lobao , L. Losano , R. Menezes , A. Yu. Petrov

We consider the evolution of a flat Friedmann-Roberstson-Walker Universe in a higher derivative theories, including $\alpha R^{2}$ terms to the Einstein-Hilbert action in the presence of a variable gravitational and cosmological constants.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. S. Debnath , B. C. Paul

The Randall-Sundrum model of warped geometry in a five-dimensional scenario, aimed at explaining the hierarchy between the Planck and electroweak scales, is intrinsically unstable in its minimal form due to negative tension of the visible…

High Energy Physics - Phenomenology · Physics 2009-11-06 Paramita Dey , Biswarup Mukhopadhyaya , Soumitra SenGupta

From the field equations corresponding to a 4-dimensional brane embedded in the 5-dimensional spacetime of the Einstein-Chern-Simons theory for gravity, we find cosmological solutions that describe an accelerated expansion for a flat…

General Relativity and Quantum Cosmology · Physics 2021-02-03 F. Gómez , S. Lepe , P. Salgado

It has recently been argued that non--BPS brane world scenarios can reproduce the small value of the cosmological constant that seems to have been measured. Objections against this proposal are discussed and necessary (but not sufficient)…

High Energy Physics - Theory · Physics 2016-09-06 Christof Schmidhuber

The present article analyses the impact on cosmology, in particular on the evolution of cosmological perturbations, of the existence of extra-dimensions. The model considered here is that of a five-dimensional Anti-de Sitter spacetime where…

High Energy Physics - Theory · Physics 2009-10-31 David Langlois

A static Friedmann brane in a 5-dimensional bulk (Randall-Sundrum type scenario) can have a very different relation between the density, pressure, curvature and cosmological constant than in the case of the general relativistic Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Laszlo Gergely , Roy Maartens

We develop the Brans-Dicke theory of gravity in the context of varying constants of Nature. Using the unimodular formalism of General Relativity, we create a platform to provide physical relational times giving the evolution of physical…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Paolo Massimo Bassani

We study a varying electric charge brane world cosmology in the RS2 model obtained from a varying-speed-of-light brane world cosmology by redefining the system of units. We elaborate conditions under which the flatness problem and the…

High Energy Physics - Theory · Physics 2009-11-07 Donam Youm

We point out several subtleties arising in brane-world scenarios of cosmological constant cancellation. We show that solutions with curvature singularities are inconsistent, unless the contribution to the effective four-dimentional…

High Energy Physics - Theory · Physics 2009-10-31 Stefan Forste , Zygmunt Lalak , Stéphane Lavignac , Hans Peter Nilles

We present a comprehensive formalism to derive precise expressions for the induced gravity of the braneworld, assuming the dynamics of the Dirac-Nambu-Goto type. The quantum fluctuations of the brane at short distances give rise to…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Keiichi Akama , Takashi Hattori

We derive exact solutions of the Einstein equations in the context of the Randall-Sundrum model with matter both on the brane and in the bulk. The bulk metric is a generalization of the static metrics describing the interior of stellar…

High Energy Physics - Theory · Physics 2009-11-10 Pantelis S. Apostolopoulos , Nikolaos Tetradis

Braneworld scenarios are motivated by string/M-theory and can be characterized by the way in which they modify the conventional Friedmann equations of Einstein gravity. An alternative approach to quantum gravity, however, is the loop…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Edmund J. Copeland , James E. Lidsey , Shuntaro Mizuno

Recent developments in the physics of extra dimensions have opened up new avenues to test such theories. We review cosmological aspects of brane world scenarios such as the Randall--Sundrum brane model and two--brane systems with a bulk…

High Energy Physics - Theory · Physics 2008-11-26 Philippe Brax , Carsten van de Bruck , Anne--Christine Davis