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We review studies on the singularity structure and asymptotic analysis of a 3-brane (flat or curved) embedded in a five-dimensional bulk filled with a `perfect fluid' with an equation of state with the `pressure' and the `density' of the…

High Energy Physics - Theory · Physics 2022-05-24 Ignatios Antoniadis , Spiros Cotsakis , Ifigeneia Klaoudatou

By considering 5--dimensional cosmological models with a bulk filled with a perfect fluid and a cosmological constant, we have found regular instantonic solution which is free from any singularity at the origin of the extra--coordinate and…

High Energy Physics - Theory · Physics 2007-05-23 M. Bouhmadi-Lopez , P. F. Gonzalez-Diaz , A. Zhuk

Five dimensional geodesic equation is used to study the gravitational force acted on a test particle in the bulk of the Randall-Sundrum two-brane model.This force could be interpreted as the gravitational attraction from matters on the two…

High Energy Physics - Theory · Physics 2011-07-19 Hongya Liu , Guowen Peng

In the context of brane cosmology, a scenario where our universe is a 3+1-dimensional surface (the ``brane'') embedded in a five-dimensional spacetime (the ``bulk''), we study geometries for which the brane is anisotropic - more…

High Energy Physics - Theory · Physics 2010-02-03 A. Fabbri , D. Langlois , D. A. Steer , R. Zegers

A solution to the cosmological constant problem has been proposed in which our universe is a 3-brane in a 5-dimensional spacetime. With a bulk scalar, the field equations admit a Poincare invariant brane solution regardless of the value of…

High Energy Physics - Theory · Physics 2009-10-31 Benjamin Grinstein , Detlef R. Nolte , Witold Skiba

We study spacetime singularities in a general five-dimensional braneworld with curved branes satisfying four-dimensional maximal symmetry. The bulk is supported by an analog of perfect fluid with the time replaced by the extra coordinate.…

High Energy Physics - Theory · Physics 2016-10-24 Ignatios Antoniadis , Spiros Cotsakis , Ifigeneia Klaoudatou

The presence of a bulk viscosity for the cosmic fluid on a single Randall-Sundrum brane is considered. The spatial curvature is assumed to be zero. The five-dimensional Friedmann equation is derived, together with the energy conservation…

General Relativity and Quantum Cosmology · Physics 2009-01-14 I. Brevik , A. Hallanger

We investigate constraints for including bulk and brane matter in the Randall- Sundrum model. In static configurations with two zero thickness branes, we find that no realistic brane matter is possible. We also consider the possibility that…

High Energy Physics - Theory · Physics 2009-10-31 Kari Enqvist , Esko Keski-Vakkuri , Syksy Rasanen

The paper presents some solutions to the five dimensional Einstein equations due to a perfect fluid on the brane with pure dust filling the entire bulk in one case and a cosmological constant (or vacuum) in the bulk for the second case. In…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tanwi Bandyopadhyay , Subenoy Chakraborty , Asit Banerjee

Two flat Randall - Sundrum three-branes are analyzed, at fixed mutual distance, in the case where each brane contains an ideal isotropic fluid. Both fluids are to begin with assumed to obey the equation of state p=(\gamma -1)\rho, where…

General Relativity and Quantum Cosmology · Physics 2009-01-14 I. Brevik , K. Børkje , J. P. Morten

We consider 5-dimensional spacetimes of constant 3-dimensional spatial curvature in the presence of a bulk cosmological constant. We find the general solution of such a configuration in the presence of a Gauss-Bonnet term. Two classes of…

High Energy Physics - Theory · Physics 2009-11-07 Christos Charmousis , Jean-Francois Dufaux

We elaborate on the recently proposed static brane world scenario, where the effective 4-D cosmological constant is exponentially small when parallel 3-branes are far apart. We extend this result to a compactified model with two positive…

High Energy Physics - Theory · Physics 2009-10-31 Eanna Flanagan , Nicholas Jones , Horace Stoica , S. -H. Henry Tye , Ira Wasserman

We present recent results on the asymptotics of a brane-world that consists of a flat 3-brane embedded in a five-dimensional bulk. The bulk matter is modelled by a fluid that satisfies a nonlinear equation of state. We show that for…

High Energy Physics - Theory · Physics 2021-10-29 Ignatios Antoniadis , Spiros Cotsakis , Ifigeneia Klaoudatou

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 consider ``brane universe'' with nonzero tension in the models with large extra dimensions. We find exact solutions of higher-dimensional Einstein equations with single flat Minkowsky brane of arbitrary large tension (or brane…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrey Neronov

In this short note, five-dimensional brane world models with dS_{4} metric on the branes are discussed. The explicit coordinate transformations, which show the equivalence between the bulk metric of these brane world models and the metric…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Mikhail N. Smolyakov

The existence of envelopes is studied for systems of differential equations in connection with the method of asymptotic splittings which allows to determine the singularity structure of the solutions. The result is applied to braneworlds…

High Energy Physics - Theory · Physics 2014-12-17 Ignatios Antoniadis , Spiros Cotsakis , Ifigeneia Klaoudatou

We consider the cosmology of a 3-brane universe, in a five dimensional space time (Bulk). We present some solutions to the five-dimensional Einstein equation, where a perfect fluid is confined to the 3-brane. We investigate the evolution of…

General Relativity and Quantum Cosmology · Physics 2010-06-10 Kh. Saaidi , A. Mohammadi

We show that a four-dimensional equation of state for a cosmological constant term arises from a perfect fluid in the bulk in the context of a gravity model where the scalar curvature is non-minimally coupled to the perfect fluid Lagrangian…

High Energy Physics - Theory · Physics 2010-05-28 Orfeu Bertolami , Carla Carvalho , Joao Laia

We consider a 6D space-time which is periodic in one of the extra dimensions and compact in the other. The periodic direction is defined by two 4-brane boundaries. Both static and non-static exact solutions, in which the internal spacetime…

High Energy Physics - Theory · Physics 2008-11-26 Panagiota Kanti , Richard Madden , Keith A. Olive
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