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The cosmological dynamics of a brane world scenario where the bulk action is taken as a generic function of the Ricci scalar is considered in a framework where the use of the $\mathbb{Z}_2$ symmetry and Israel junction conditions are…

General Relativity and Quantum Cosmology · Physics 2013-08-13 Zahra Haghani , Hamid Reza Sepangi , Shahab Shahidi

In this paper we study brane-world scenarios with a bulk scalar field, using a covariant formalism to obtain a 4D Einstein equation via projection onto the brane. We discuss, in detail, the effects of the bulk on the brane and how the…

High Energy Physics - Theory · Physics 2008-11-26 A. Mennim , R. A. Battye

In brane world scenarios with a bulk scalar field between two branes it is known that 4-dimensional Einstein gravity is restored at low energies on either brane. By using a gauge-invariant gravitational and scalar perturbation formalism we…

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

We perform cosmological N-body simulations of the Dvali-Gabadadze-Porrati braneworld model, by solving the full non-linear equations of motion for the scalar degree of freedom in this model, the brane bending mode. While coupling…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-28 Fabian Schmidt

The braneworld model of Dvali, Gabadadze and Porrati (DGP) provides an intriguing modification of gravity at large distances and late times. By embedding a three-brane in an uncompactified extra dimension with separate Einstein-Hilbert…

Astrophysics · Physics 2007-05-23 Ignacy Sawicki , Sean M. Carroll

We generalize and extend results on the localization of gravity on Karch-Randall-Sundrum brane-worlds with positive, negative, or zero cosmological constant on the brane. We do so both from the study of bulk metric perturbations, and from…

High Energy Physics - Theory · Physics 2025-04-02 Quim Llorens

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

We study a Randall-Sundrum model modified by a Gauss-Bonnet interaction term. We consider, in particular, a Friedmann-Robertson-Walker metric on the brane and analyse the resulting cosmological scenario. It is shown that the usual Friedmann…

High Energy Physics - Theory · Physics 2009-11-07 B. Abdesselam , N. Mohammedi

We consider a generalisation of the DGP model, by adding a second brane with localised curvature, and allowing for a bulk cosmological constant and brane tensions. We study radion and graviton fluctuations in detail, enabling us to check…

High Energy Physics - Theory · Physics 2009-11-10 Antonio Padilla

We investigate solutions of a new $4D$ Einstein-Gauss-Bonnet gravity ($4D$ $EGB$). We first describe the bulk vacuum solution, then we add a massive probe scalar field, and we follow considering a self-interacting scalar field which acts as…

High Energy Physics - Theory · Physics 2025-06-13 D. Bazeia , R. Menezes , A. Yu. Petrov , P. J. Porfírio

Using modified gravity with non-linear terms of curvature, $R^2$ and $R^{(r +2)}$ (with $r$ being the positive real number and $R$ being the scalar curvature), cosmological scenario,beginning at the Planck scale, is obtained. Here, a…

High Energy Physics - Theory · Physics 2008-11-26 S. K. Srivastava

Adopting the premise that the expected value of the quantum fluctuating metric is linear, i.e., $\langle g^{\mu\nu}\rangle=\alpha g^{\mu\nu}$, we analyze the modified gravity theory induced by the Einstein-Hilbert action coupled to a matter…

General Relativity and Quantum Cosmology · Physics 2024-06-18 C. A. S. Almeida , F. C. E. Lima

The self-tuning brane scenario is an attempt to solve the cosmological constant problem in the context of extra dimensions. Rather than making the vacuum energy small, this approach proceeds by removing the gravitational effect of vacuum…

High Energy Physics - Theory · Physics 2009-11-07 Sean M. Carroll , Laura Mersini

We consider a single 3-brane situated between two bulk spacetimes that posses the same cosmological constant, but whose metrics do not posses a $Z_{2}$-symmetry. On each side of the brane, the bulk is a solution to Gauss-Bonnet gravity.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kenichiro Konya

We investigate the analogue of the Randall-Sundrum brane-world in the case when the bulk contains a black hole. Instead of the static vacuum Minkowski brane of the RS model, we have an Einstein static vacuum brane. We find that the presence…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sanjeev S. Seahra , Chris Clarkson , Roy Maartens

We explore the cosmological implications provided by the geodetic brane gravity action corrected by an extrinsic curvature brane term, describing a codimension-1 brane embedded in a 5D fixed Minkowski spacetime. In the geodetic brane…

General Relativity and Quantum Cosmology · Physics 2012-08-23 Rubén Cordero , Miguel Cruz , Alberto Molgado , Efraín Rojas

We investigate the Ricci Dark Energy (RDE) in the braneworld models with a Gauss-Bonnet term in the Bulk. We solve the generalized Friedmann equation on the brane analytically and find that the universe will finally enter into a pure de…

High Energy Physics - Theory · Physics 2009-08-13 Chao-Jun Feng , Xin-Zhou Li

We consider a generalization of the Randall-Sundrum single brane-world scenario (RS2). More precisely, the generalization is described through curvature corrections, corresponding to a Gauss-Bonnet term in the bulk and a Hilbert-Einstein…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Mariam Bouhmadi-Lopez , Pisin Chen , Yen-Wei Liu

Here, DGP model of brane-gravity is analyzed and compared with the standard general relativity and Randall-Sundrum cases using non-linear equation of state. Phantom fluid is known to violate the weak energy condition. In this paper, it is…

General Relativity and Quantum Cosmology · Physics 2015-05-08 Jibitesh Dutta , Subenoy Chakraborty , M. Ansari

An alternative approach to introducing gravitational dynamics on a brane embedded in a higher dimensional spacetime is presented. The brane is treated as a boundary of a higher dimensional manifold in which the bulk action is described by a…

High Energy Physics - Theory · Physics 2007-05-23 D. L. Henty