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The global geometries of bulk vacuum space-times in the brane-universe models are investigated and classified in terms of geometrical invariants. The corresponding Carter-Penrose diagrams and embedding diagrams are constructed. It is shown…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Victor Berezin

In the Randall-Sundrum scenario we investigate the dynamics of a spherically symmetric 3-brane world when matter fields are present in the bulk. To analyze the 5-dimensional Einstein equations we employ a global conformal transformation…

High Energy Physics - Theory · Physics 2008-11-26 Rui Neves , Cenalo Vaz

We examine the nonlinear dynamics of a closed Friedmann-Robertson-Walker universe in the framework of Brane World formalism with a timelike extra dimension. In this scenario, the Friedmann equations contain additional terms arising from the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Rodrigo Maier , Nelson Pinto-Neto , Ivano Damião Soares

Recently, interesting braneworld cosmologies in the Randall-Sundrum scenario have been constructed using a bulk spacetime which corresponds to a charged AdS black hole. In particular, these solutions appear to `bounce', making a smooth…

High Energy Physics - Theory · Physics 2009-11-10 Jordan L. Hovdebo , Robert C. Myers

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

Motivated by stringy considerations, Randall & Sundrum have proposed a model where all the fields and particles of physics, save gravity, are confined on a 4-dimensional brane embedded in 5-dimensional anti-deSitter space. Their scenario…

High Energy Physics - Theory · Physics 2015-06-26 Sanjeev S. Seahra

Various attempts to go beyond the theory of General Relativity start from the assumption that spacetime is not a 4-dimensional but rather a higher-dimensional manifold. Among others, braneworld scenarios postulate that the spacetime we…

General Relativity and Quantum Cosmology · Physics 2024-01-31 Ivana Stojiljković , Dušan Đorđević , Aleksandra Gočanin , Dragoljub Gočanin

The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+\textit{d}-dimensional spacetime (the "bulk"), with Standard Model particles and fields trapped on the brane while gravity is free to access the bulk. At least…

High Energy Physics - Theory · Physics 2015-05-18 Roy Maartens , Kazuya Koyama

We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the $Z_2$ symmetric brane. Applying…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Kei-ichi Maeda , Shuntaro Mizuno , Takashi Torii

Warped extra dimension claims remarkable success: solving the hierarchy problem; explaining hierarchies in particle phenomenology; yielding standard cosmology, plus interesting nonstandard scenarios. Yet it has marked shortcomings: we…

High Energy Physics - Theory · Physics 2008-11-26 Katherine Benson

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

Low-energy effective theories provide the natural description of four-dimensional physics in higher-dimensional geometries, where the imprint of the bulk appears as parameters of the lower dimensional theory. Motivated by the recent…

High Energy Physics - Theory · Physics 2026-03-11 Soham Bhattacharyya , Soumitra SenGupta

In this paper, a bouncing cosmological scenario is studied in the background of a flat FLRW model with a specific parametrized hyperbolic form of scale factor $ a $ in terms of $ t $, where $ \lambda $ is taken as the model parameter. This…

General Relativity and Quantum Cosmology · Physics 2022-08-12 J. K. Singh , Shaily , Kazuharu Bamba

The Randall-Sundrum model is studied in 6 dimension with AdS$_4$ or dS$_4$ metric in the physical 4 dimensional space. Two solutions are found, one with induced 5-dimensional gravity terms added to the induced cosmological constant terms.…

High Energy Physics - Theory · Physics 2008-11-26 Chetiya Sahabandu , Peter Suranyi , Cenalo Vaz , L. C. Rohana Wijewardhana

We explore the possibility of a non-singular bounce in our universe from a warped braneworld scenario with dynamical branes and a non-zero brane cosmological constant. Such models naturally incorporate a scalar sector known as the radion…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Indrani Banerjee , Tanmoy Paul , Soumitra SenGupta

We consider an extension of the Randall-Sundrum model with three parallel 3-branes in a 5-dimensional spacetime. This new construction, apart from providing a solution to the Planck hierarchy problem, has the advantage that the SM fields…

High Energy Physics - Phenomenology · Physics 2016-09-06 I. I. Kogan , S. Mouslopoulos , A. Papazoglou , G. G. Ross , J. Santiago

By setting some special boundary conditions in the variational principle we obtain junction conditions for the five-dimensional $f(R)$ gravity which in the Einstein limit $f(R)\rightarrow R$ transform into the standard Randall-Sundrum…

High Energy Physics - Theory · Physics 2013-05-29 Adam Balcerzak , Mariusz P. Dabrowski

We study the cosmological dynamics and predictions in the theory of warped massive gravity. This set-up postulates a five-dimensional ghost-free massive graviton with a brane-localized four-dimensional massive gravity potential, and has the…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Sebastian Garcia-Saenz , Yuxiang Wei , Xue Zhou

We propose an alternative inflationary universe scenario in the context of Randall-Sundrum braneworld cosmology. In this new scenario the existence of extra-dimension(s) plays an essential role. First, the brane universe is initially in the…

High Energy Physics - Theory · Physics 2009-11-07 Uchida Gen , Akihiro Ishibashi , Takahiro Tanaka

A bouncing universe is a viable candidate to solve the initial singularity problem. Here we consider bouncing solutions in the context of $f(R,\mathcal{G})$ gravity by using an order reduction technique which allows one to find solutions…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Bruno J. Barros , Elsa M. Teixeira , Daniele Vernieri