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We establish an explicit correspondence of Einstein gravity on the squashed spheres that are the $U(1)$ bundles over $\mathbb{CP}^m$ to the Kaluza-Klein AdS gravity on the tori. This allows us to map the Ricci-flat Kerr metrics in odd…

High Energy Physics - Theory · Physics 2021-04-08 Liang Ma , H. Lu

We show that the problem of stabilization of extra dimensions in Kaluza-Klein type cosmology may be solved in a theory of gravity involving high-order curvature invariants. The method suggested (employing a slow-change approximation) can…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K. A. Bronnikov , S. G. Rubin

We explore models of intersecting brane-worlds with induced gravity terms on codimension one branes and on their intersection. Maximally symmetric solutions for the branes and the intersection are found. We find new self-accelerating…

High Energy Physics - Theory · Physics 2008-11-26 Olindo Corradini , Kazuya Koyama , Gianmassimo Tasinato

A Randall-Sundrum-like braneworld scenario is constructed in a 5D extension of the Lorentz-violating massive gravity. The gauge hierarchy problem is solved in current model. The linear perturbations are calculated, and it is found that the…

High Energy Physics - Theory · Physics 2023-10-09 Ke Yang , Shi-Fa Guo , Bao-Min Gu

We construct a 6-dimensional warped brane world compactification of the Salam-Sezgin supergravity model by generalizing an earlier hybrid Kaluza-Klein / Randall-Sundrum construction [hep-th/0109099]. In this construction the observed…

High Energy Physics - Theory · Physics 2010-02-03 Benedict M. N. Carter , Alex B. Nielsen , David L. Wiltshire

We study the induced 4-dimensional linearized Einstein field equations in an m-dimensional bulk space by means of a confining potential. It is shown that in this approach the mass of graviton is quantized. The cosmological constant problem…

General Relativity and Quantum Cosmology · Physics 2012-09-18 A. M. Yazdani , S. Jalalzadeh , K. Atazadeh

We investigate the regularized four-dimensional Einstein-Gauss-Bonnet ($4D$ EGB) gravity with a non-minimal scalar coupling function, which is an extension of the regularized $4D$ EGB theory. By introducing non-minimal coupling to the…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Bilguun Bayarsaikhan , Sunly Khimphun , Phearun Rithy , Gansukh Tumurtushaa

Recently, a novel 4D Einstein-Gauss-Bonnet gravity has been proposed by Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)] by rescaling the coupling $\alpha \rightarrow \alpha/(D-4)$ and taking the limit $D\rightarrow 4$ at the level of…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Wen-Yuan Ai

We study a generalization of the Randall-Sundrum mechanism for generating the weak/Planck hierarchy, which uses two rather than one warped extra dimension, and which requires no negative tension branes. A 4-brane with one exponentially…

High Energy Physics - Theory · Physics 2014-11-18 C. P. Burgess , J. M. Cline , N. R. Constable , H. Firouzjahi

We propose a brane-world setup based on gauge/gravity duality in which the four-dimensional cosmological constant is set to zero by a dynamical self-adjustment mechanism. The bulk contains Einstein gravity and a scalar field. We study…

High Energy Physics - Theory · Physics 2018-07-26 Christos Charmousis , Elias Kiritsis , Francesco Nitti

In this paper, we study the implementation of brane worlds in type II string theory. Starting with the NS/NS sector of type II string, we first compactify the $(D+d_{+} + d_{-})$-dimensional spacetime, and reduce the corresponding action to…

High Energy Physics - Phenomenology · Physics 2009-11-13 Michael Devin , Tibra Ali , Gerald Cleaver , Anzhong Wang , Qiang Wu

We consider the five-dimensional Einstein-Gauss-Bonnet gravity, which can be obtained by means of an apropriate choice of coeficients in the five-dimensional Lanczos-Lovelock gravity theory. The Einstein-Gauss-Bonnet field equations for the…

High Energy Physics - Theory · Physics 2022-10-18 F. Gomez , S. Lepe , V. C. Orozco , P. Salgado

We propose that the UV/IR relation that underlies the AdS/CFT duality may provide a natural mechanism by which high energy supersymmetry can have large distance consequences. We motivate this idea via (a string realization of) the…

High Energy Physics - Theory · Physics 2007-05-23 Herman Verlinde

We discuss some of the localization issues associated with the embedding of Robertson-Walker type Randall-Sundrum branes in a bulk $AdS_5$. Specifically, we show that of the branes which are embeddable in $AdS_5$ the geometry associated…

High Energy Physics - Theory · Physics 2008-07-24 Philip D. Mannheim

We evaluate a 5-dimensional Randall Sundrum type metric in the Lagrangian of the Einstein-Chern-Simons gravity, and then we derive an action and its corresponding field equations, for a 4-dimensional brane embedded in the 5-dimensional…

General Relativity and Quantum Cosmology · Physics 2020-12-23 R. Díaz , F. Gómez , M. Pinilla , P. Salgado

Gravity in five-dimensional braneworld backgrounds often exhibits problematic features, including kinetic ghosts, strong coupling, and the vDVZ discontinuity. These problems are an obstacle to producing and analyzing braneworld models with…

High Energy Physics - Theory · Physics 2008-11-26 Ruoyu Bao , Marcela Carena , Joseph Lykken , Minjoon Park , Jose Santiago

Super-exponential warp factors have been proposed in the context of two-brane models to solve the gauge hierarchy problem of scales by using a compactification scale of the same order of the fundamental Planck scale, completely eliminating…

In Randall-Sundrum models, one typically expects the radion to be the lightest new "gravity" state, as it is dual to a composite pseudo-Goldstone boson associated with conformal symmetry breaking in the IR. Here, we investigate the effects…

High Energy Physics - Phenomenology · Physics 2016-09-28 Barry M. Dillon , Damien P. George , Kristian L. McDonald

Recently, inspired by Eddington's theory, an alternative gravity called Eddington-inspired Born-Infeld gravity was proposed by Ba$\tilde{\text{n}}$ados and Ferreira. It is equivalent to Einstein's general relativity in vacuum, but deviates…

High Energy Physics - Theory · Physics 2012-06-26 Yu-Xiao Liu , Ke Yang , Heng Guo , Yuan Zhong

In the context of the Randall-Sundrum braneworld, the minimal geometric deformation approach (MGD) is used to generate an exact analytic interior solution to four-dimensional effective Einstein's field equations for a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2018-02-12 J Ovalle , F Linares