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General solutions for braneworld dynamics coupled with the bulk Einstein equation are derived under the Schwarzschild ansatz. They relate the brane metric to the exterior configurations, and establish fine tuning conditions for the…

High Energy Physics - Theory · Physics 2015-05-19 Keiichi Akama , Takashi Hattori , Hisamitsu Mukaida

An outstanding issue in braneworld theory concerns the setting up of proper boundary conditions for the brane-bulk system. Boundary conditions (BC's) employing regulatory branes or demanding that the bulk metric be nonsingular have yet to…

Astrophysics · Physics 2008-11-26 Yuri Shtanov , Alexander Viznyuk , Varun Sahni

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

We address the question of cosmological perturbations in the context of brane cosmology, where our Universe is a three-brane where matter is confined, whereas gravity lives in a higher dimensional spacetime. The equations governing the bulk…

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

The general procedure for analyzing the localization of matter fields in Brane models is by integrating, in the action, its zero mode solutions over the extra dimensions. If this is finite, the field is said to be localized. However, the…

High Energy Physics - Theory · Physics 2020-05-26 L. F. F. Freitas , G. Alencar , R. R. Landim

We consider brane world models, which can be constructed in the five-dimensional Brans-Dicke theory with bulk scalar field potentials suggested by the supergravity theory. For different choices of the potentials and parameters we get: (i)…

High Energy Physics - Theory · Physics 2009-11-11 Alexey S. Mikhailov , Yuri S. Mikhailov , Mikhail N. Smolyakov , Igor P. Volobuev

We formulate a theory combining the principles of a scalar-tensor gravity and the Rastall proposal of a violation of the usual conservation laws. In the resulting Brans-Dicke-Rastall (BDR) theory the only exact, static, spherically…

General Relativity and Quantum Cosmology · Physics 2015-03-18 T. Caramês , M. H. Daouda J. C. Fabris , A. M. Oliveira , O. F. Piattella , V. Strokov

As opposed to usual Einstein gravity in four dimensions, the Brane-World scenario allows the construction of a local density of gravitational energy (and also of momentum, of angular momentum, etc...). This is a direct consequence of the…

High Energy Physics - Theory · Physics 2009-10-31 Sebastian Silva

The stability of Einstein static universe against homogeneous scalar perturbations in the context of braneworld scenario is investigated. The stability regions are obtained in terms of the constant geometric linear equation of state…

General Relativity and Quantum Cosmology · Physics 2014-04-10 K. Atazadeh , Y. Heydarzade , F. Darabi

We derive exact Friedmann--Robertson--Walker cosmological solutions in general scalar--tensor gravity theories, including Brans--Dicke gravity, for stiff matter or radiation. These correspond to the long or short wavelength modes…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Jose P. Mimoso , David Wands

We show that cosmological sudden singularities that respect the energy conditions can occur at finite times in Brans-Dicke and more general scalar-tensor theories of gravity. We construct these explicitly in the Friedmann universes.…

General Relativity and Quantum Cosmology · Physics 2020-02-21 John D. Barrow

We conduct a detailed analysis of the full linear perturbations in the braneworld scenario within $f(T)$ gravity. By decomposing the perturbations of the theory into the scalar, transverse vector, antisymmetric pseudotensor, and symmetric…

High Energy Physics - Theory · Physics 2024-12-03 Ju-Ying Zhao , Mao-Jiang Liu , Ke Yang

We investigate the braneworld gravity starting from the non-conservative gravitational field equations in a five-dimensional bulk. The approach is based on the Gauss-Codazzi formalism along with the study of the braneworld consistency…

General Relativity and Quantum Cosmology · Physics 2018-05-28 J. C. Fabris , Thiago R. P. Caramês , J. M. Hoff da Silva

The braneworld theory appear with the purpose of solving the problem of the hierarchy of the fundamental interactions. The perspectives of the theory emerge as a new physics, for example, deviation of the law of Newton's gravity. One of the…

Differential Geometry · Mathematics 2008-11-26 Edmundo M. Monte

A classification of Brans-Dicke theories of gravitation, based on the behaviour of the dimensionless gravitational coupling constant, is given. It is noted that the discussion takes place in the current literature, about which of the two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

The theories of brane world and multidimensional gravity are widely discussed in the literature in connection with problems of evolution of early Universe, including dark matter and energy. A natural physical concept is that a distinguished…

General Relativity and Quantum Cosmology · Physics 2009-10-12 Boris E. Meierovich

In this paper, we investigate the Randall-Sundrum type braneworld models in the scalar-tensor theory with field derivative coupling to the Einstein tensor. We first formulate the generalized junction conditions of the metric and the scalar…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Masato Minamitsuji

The causal structure of the flat brane universe of RSII type is re-investigated to clarify the boundary conditions for stochastic gravitational waves. In terms of the Gaussian normal coordinate of the brane, a singularity of the equation…

High Energy Physics - Theory · Physics 2009-11-10 Kiyotomo Ichiki , Kouji Nakamura

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 take arbitrary gravitational perturbations of a 5d spacetime and reduce it to the form an axially symmetric warped braneworld. Then, we write the filed equations for the linearized gravity perturbations. We obtain the equations that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edgard Casal de Rey Neto