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Einstenian cubic gravity (ECG) is a modified theory of gravity constructed with cubic contractions of the curvature tensor. This theory has the remarkable feature of having the same two propagating degrees of freedom of Einstein gravity…

General Relativity and Quantum Cosmology · Physics 2024-06-04 L. A. Lessa , R. V. Maluf , J. E. G. Silva , C. A. S. Almeida

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 discuss possible variations of the effective gravitational constant with length scale, predicted by most of alternative theories of gravity and unified models of physical interactions. After a brief general exposition, we review in more…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K. A. Bronnikov , S. A. Kononogov , V. N. Melnikov

We consider a braneworld model in the scalar-tensor gravity. In order to solve the gauge hierarchy problem in this model, our world should be confined on the positive tension brane rather than on the negative one. This is crucial to…

High Energy Physics - Theory · Physics 2012-12-13 Ke Yang , Yu-Xiao Liu , Yuan Zhong , Xiao-Long Du , Shao-Wen Wei

In the Randall-Sundrum (RS) brane-world model a singular delta-function source is matched by the second derivative of the warp factor. So one should take possible curvature corrections in the effective action of the RS models in a…

High Energy Physics - Theory · Physics 2014-11-18 Y. M. Cho , Ishwaree P. Neupane

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

We present effective gravitational equations at low energies in a $Z_2$-symmetric braneworld with the Gauss-Bonnet term. Our derivation is based on the geometrical projection approach, and we solve iteratively the bulk geometry using the…

High Energy Physics - Theory · Physics 2008-11-26 Tsutomu Kobayashi , Tetsuya Shiromizu , Nathalie Deruelle

We consider brane-induced gravity model in more than one extra dimensions, regularized by assuming that the bulk gravity is soft in ultraviolet. We study linear theory about flat multi-dimensional space-time and flat brane. We first find…

High Energy Physics - Theory · Physics 2009-11-07 S. L. Dubovsky , V. A. Rubakov

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

We study the growth of subhorizon perturbations in brane-induced gravity using perturbation theory. We solve for the linear evolution of perturbations taking advantage of the symmetry under gauge transformations along the extra-dimension to…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-10 Roman Scoccimarro

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

We discuss the weak gravitational field created by isolated matter sources in the Randall-Sundrum brane-world. In the case of two branes of opposite tension, linearized Brans-Dicke (BD) gravity is recovered on either wall, with different BD…

High Energy Physics - Theory · Physics 2010-02-18 Jaume Garriga , Takahiro Tanaka

We study whether modification of gravity at large distances is possible in warped backgrounds with two branes and a brane-induced term localized on one of the branes. We find that there are three large regions in the parameter space where…

High Energy Physics - Theory · Physics 2009-11-10 S. L. Dubovsky , M. V. Libanov

The observable universe could be a 1+3-surface (the "brane") embedded in a 1+3+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 one of the…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Roy Maartens

We consider warped five-dimensional thick braneworlds with four-dimensional Poincar\'e invariance originated from bulk scalar matter non-minimally coupled to gravity plus a Gauss-Bonnet term. The background field equations as well as the…

High Energy Physics - Theory · Physics 2012-02-03 Alfredo Herrera-Aguilar , Dagoberto Malagon-Morejon , Refugio Rigel Mora-Luna , Israel Quiros

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

We propose a simple higher-derivative braneworld gravity model which contains a stable accelerating branch, in the absence of cosmological constant or potential, that can be used to describe the late time cosmic acceleration. This model has…

High Energy Physics - Theory · Physics 2009-11-11 Claudia de Rham , Andrew J. Tolley

The semi-classical nature of braneworld cosmological models does not account for any quantum gravitational effects. In this letter we use the gauge/gravity correspondence to argue that quantum string corrections cannot be ignored in any…

General Relativity and Quantum Cosmology · Physics 2008-06-24 Alex Hamilton , Jeff Murugan

The modification to four--dimensional Einstein gravity at low energy in two brane models is investigated within supergravity in singular spaces. Using perturbation theory around a static BPS background, we study the effective…

High Energy Physics - Theory · Physics 2009-11-07 P. Brax , C. van de Bruck , A. C. Davis , C. S. Rhodes

For the 2-brane Randall-Sundrum model, we calculate the bulk geometry for strong gravity, in the low matter density regime, for slowly varying matter sources. This is relevant for astrophysical or cosmological applications. The warped…

High Energy Physics - Theory · Physics 2009-11-07 T. Wiseman