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We apply the Gauss-Codacci formalism to brane worlds scenario within the framework of Brans-Dicke gravity. The compactification is taken from six to five dimensions in order to formalize brane-world models with hybrid compactification in…

High Energy Physics - Theory · Physics 2008-11-26 M. C. B. Abdalla , M. E. X. Guimaraes , J. M. Hoff da Silva

We review some recent results obtained from the application of the Gauss-Codazzi formalism to brane-worlds models in the Brans-Dicke gravity. The cases of 4-branes embedded in a six-dimensional with and without $\mathbb{Z}_{2}$ symmetry are…

General Relativity and Quantum Cosmology · Physics 2008-12-31 M. C. B. Abdalla , M. E. X. Guimaraes , J. M. Hoff da Silva

Linearized equations of motion for gravitational and scalar fields are found and solved in a stabilized brane world model in five-dimensional Brans-Dicke theory. The physical degrees of freedom are isolated, the mass spectrum of…

High Energy Physics - Theory · Physics 2009-11-19 A. S. Mikhailov , Yu. S. Mikhailov , M. N. Smolyakov , I. P. Volobuev

We study braneworlds in six-dimensional Einstein-Gauss-Bonnet gravity. The Gauss-Bonnet term is crucial for the equations to be well-posed in six dimensions when non-trivial matter on the brane is included (the also involved induced gravity…

High Energy Physics - Theory · Physics 2009-11-10 Georgios Kofinas

We study a codimension 2 braneworld in the Einstein-Gauss-Bonnet gravity. In the linear regime, we show the conventional Einstein gravity can be recovered on the brane. While, in the nonlinear regime, we find corrections due to the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sugumi Kanno , Jiro Soda

We derive the gauge invariant perturbation equations for a 5-dimensional bulk spacetime in the presence of a brane. The equations are derived in full generality, without specifying a particular energy content of the bulk or the brane. We do…

High Energy Physics - Theory · Physics 2007-05-23 Alain Riazuelo , Filippo Vernizzi , Danièle Steer , Ruth Durrer

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 show how the gravity, extrinsic curvature, and gauge field theories are induced on dynamically localized brane world. They should obey the Gauss-Codazzi-Ricci equation in addition to their own equations of motion. As an example, we…

High Energy Physics - Theory · Physics 2009-10-31 Keiichi Akama , Takashi Hattori

We first recall a covariant formalism used to compute conserved charges in gauge invariant theories. We then study the case of gravity for two different boundary conditions, namely spatial infinity and a Brane-World boundary. The new…

High Energy Physics - Theory · Physics 2007-05-23 Sebastian Silva

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 obtain, via the Gauss-Codazzi formalism, the expression of the effective Einstein-Brans-Dicke projected equations in a non-$\mathbb{Z}_{2}$ symmetric braneworld scenario which presents hybrid compactification. It is shown that the…

High Energy Physics - Theory · Physics 2008-12-18 M. C. B. Abdalla , M. E. X. Guimaraes , J. M. Hoff da Silva

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

The effective four-dimensional, linearised gravity of a brane world model with one extra dimension and a single brane is analysed. The model includes higher order curvature terms (such as the Gauss-Bonnet term) and a conformally coupled…

High Energy Physics - Theory · Physics 2009-11-10 Stephen C. Davis

The modified gravitational equations to describe a four-dimensional braneworld in the case with the Lorentz invariant violation in a bulk spacetime is presented. It contains a trace part of the brane energy-momentum tensor and the…

High Energy Physics - Theory · Physics 2014-11-18 A. Arianto , Freddy P. Zen , Bobby E. Gunara

We study gravity on an infinitely thin codimension-2 brane world, with purely conical singularities and in the presence of an induced gravity term on the brane. We show that in this approximation, the energy momentum tensor of the bulk is…

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

We discuss the cosmological evolution of a braneworld in five dimensional Gauss-Bonnet gravity. Our discussion allows the fifth (bulk) dimension to be space-like as well as time-like. The resulting equations of motion have the form of a…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Hideki Maeda , Varun Sahni , Yuri Shtanov

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

Gravity in five-dimensional braneworld backgrounds may exhibit extra scalar degrees of freedom with problematic features, including kinetic ghosts and strong coupling behavior. Analysis of such effects is hampered by the standard heuristic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marcela Carena , Joseph Lykken , Minjoon Park

We consider the case of a generic braneworld geometry in the presence of one or more moduli fields (e.g., the dilaton) that vary throughout the bulk spacetime. Working in an arbitrary conformal frame, using the generalized junction…

High Energy Physics - Theory · Physics 2014-11-18 Carlos Barcelo , Matt Visser

The effective four-dimensional, linearised gravity for a brane world model with higher order curvature terms and a bulk scalar field is analysed. Large and small distance gravitational laws are derived. The model has a single brane embedded…

High Energy Physics - Theory · Physics 2007-05-23 Stephen C. Davis
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