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Recently a realization of the four-dimensional gravity on a brane in five-dimensional spacetime has been discussed. Randall and Sundrum have shown that the equation for the longitudinal components of the metric fluctuations admit a…

High Energy Physics - Theory · Physics 2007-05-23 M. G. Ivanov , I. V. Volovich

We study gravity in backgrounds that are smooth generalizations of the Randall-Sundrum model, with and without scalar fields. These generalizations include three-branes in higher dimensional spaces which are not necessarily Anti-de Sitter…

High Energy Physics - Theory · Physics 2009-07-09 Csaba Csaki , Joshua Erlich , Timothy J. Hollowood , Yuri Shirman

A method for obtaining solutions to the classical equations for scalars plus gravity in five dimensions is applied to some recent suggestions for brane-world phenomenology. The method involves only first order differential equations. It is…

High Energy Physics - Theory · Physics 2009-10-08 O. DeWolfe , D. Z. Freedman , S. S. Gubser , A. Karch

A simple five-dimensional brane world model is proposed, motivated by M-theory compactified on a six-dimensional manifold of small radius and an $S^1/Z_2$ of large radius. We include a leading-order higher curvature correction to the…

High Energy Physics - Theory · Physics 2009-11-07 Shinji Mukohyama

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

We study scalar cosmological perturbations in a braneworld model with a bulk Gauss-Bonnet term. For an anti-de Sitter bulk, the five-dimensional perturbation equations share the same form as in the Randall-Sundrum model, which allows us to…

High Energy Physics - Theory · Physics 2009-11-11 Tsutomu Kobayashi , Masato Minamitsuji

Four dimensional gravity in the low energy limit of a higher dimensional theory has been expected to be a (generalized) Brans-Dicke theory. A subtle point in brane world scenarios is that the system of four dimensional effective…

High Energy Physics - Theory · Physics 2009-11-07 Shinji Mukohyama , Lev Kofman

In this work, we review and extend the so-called consistency conditions for the existence of a braneworld scenario in arbitrary dimensions in the Brans-Dicke (BD) gravitational theory. After that, we consider the particular case of a…

High Energy Physics - Theory · Physics 2011-03-28 M. C. B. Abdalla , M. E. X. Guimaraes , J. M. Hoff da Silva

We study the existence and stability of static kink-like configurations of a 5D scalar field, with Dirichlet boundary conditions, along the extra dimension of a warped braneworld. In the presence of gravity such configurations fail to…

High Energy Physics - Phenomenology · Physics 2010-08-02 Manuel Toharia , Mark Trodden , Eric J. West

Recently, Pani, Sotiriou, and Vernieri explored a new theory of gravity by adding nondynamical fields, i.e., gravity with auxiliary fields [Phys. Rev. D 88, 121502(R) (2013)]. In this gravity theory, higher-order derivatives of matter…

High Energy Physics - Theory · Physics 2015-03-12 Bin Guo , Yu-Xiao Liu , Ke Yang

We find a static solution to Einstein's field equations on a five-dimensional orbifold with a compact S_1/Z_2 fifth direction and Poincare invariant 3+1 sections. The solution describes a theory with bulk cosmological constant and 3-branes…

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

We consider cosmological models where the universe, governed by Einstein's equations, is a piece of a five dimensional double-sided anti-de Sitter spacetime (that is, a "$Z_2$-symmetric bulk") with matter confined to its four dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Nathalie Deruelle , Tomas Dolezel , Joseph Katz

We construct a regular five-dimensional brane-world with localised gravity on a flat 3-brane. The matter content in the bulk is parametrised by an analog of a non-linear fluid with equation of state $p=\gamma\rho^\lambda$ between the…

High Energy Physics - Theory · Physics 2021-09-15 Ignatios Antoniadis , Spiros Cotsakis , Ifigeneia Klaoudatou

We derive the four-dimensional field equations for the induced metric and scalar field on the world-volume of a 3-brane in a five-dimensional bulk with Einstein gravity plus a self-interacting scalar field. We calculate the effective…

High Energy Physics - Theory · Physics 2009-10-31 Kei-ichi Maeda , David Wands

In this work, we study 5-dimensional braneworld scenarios in the scalar-tensor representation of the generalized hybrid metric-Palatini gravitational theory. We start by considering a model for a brane supported purely by the gravitational…

General Relativity and Quantum Cosmology · Physics 2021-01-19 João Luís Rosa , Douglas A. Ferreira , Dionisio Bazeia , Francisco S. N. Lobo

The brane-world cosmological model in higher-dimensional spacetime with a bulk scalar field is investigated. We derive the $(4+n)$-dimensional gravitational field equations for the scalar field on the $(3+n)$-brane in a $(5+n)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Arianto , F. P. Zen , S. Feranie , I P. Widyatmika , B. E. Gunara

In Brans-Dicke theory the Universe becomes divided after inflation into many exponentially large domains with different values of the effective gravitational constant. Such a process can be described by diffusion equations for the…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Juan Garcia-Bellido , Andrei Linde

An analysis of the solutions for the field equations of generalized scalar-tensor theories of gravitation is performed through the study of the geometry of the phase space and the stability of the solutions, with special interest in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. C. C. Souza , A. Saa

In this work, we investigate braneworld models in mimetic gravity, with the source field having generalized dynamics. We present the mathematical description necessary to study the generalized model and consider the first-order formalism to…

High Energy Physics - Theory · Physics 2022-11-21 A. S. Lobão

We study the case of brane world models with an additional Gauss-Bonnet term in the presence of a bulk scalar field which interacts non-minimally with gravity, via a possible interaction term of the form $-1/2 \xi R \phi^2$. The Einstein…

High Energy Physics - Theory · Physics 2008-11-26 K. Farakos , P. Pasipoularides