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We follow to Witten proposal in the calculation of conformal anomaly from d+1-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov

We revisit a non-perturbation theory of quantum gravity in $1.5$ order underlying an emergent gravitational pair of $(4{\bar 4})$-brane with a renewed interest. In particular the formulation is governed by a geometric torsion ${\cal H}_3$…

High Energy Physics - Theory · Physics 2016-12-06 Supriya Kar , R. Nitish , Deobrat Singh

Higher-order curvature corrections involving the conformally-invariant Weyl-squared action have played a role in two recent investigations of four-dimensional gravity; in critical gravity, where it is added to the standard cosmological…

High Energy Physics - Theory · Physics 2012-10-02 H. Lu , Yi Pang , C. N. Pope

We investigate the dilaton fluctuations near the string based on three classes of solutions of the 3D C-metric within the framework of the string-world holography. As a setup of holography, we focus on the asymptotic symmetry, recover the…

High Energy Physics - Theory · Physics 2025-10-07 Shaohua Xue , Yuxuan Liu , Li-xin Li

We consider the Mielke-Baekler model of three-dimensional AdS gravity with torsion, which has gravitational and translational Chern-Simons terms in addition to the usual Einstein-Hilbert action with cosmological constant. It is shown that…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Klemm , Giovanni Tagliabue

We investigate the effect of the bulk gravitational field on the cosmological perturbations on a brane embedded in the 5D Anti-de Sitter (AdS) spacetime. The effective 4D Einstein equations for the scalar cosmological perturbations on the…

High Energy Physics - Theory · Physics 2009-11-07 Kazuya Koyama , Jiro Soda

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 derive the exact gravitational field of a relativistic particle localized on an $AdS$ 3-brane, with curvature radius $\ell$, in $AdS_5$ bulk with radius $L$. The solution is a gravitational shock wave. We use it to explore the dynamics…

High Energy Physics - Theory · Physics 2010-02-03 Nemanja Kaloper , Lorenzo Sorbo

It is shown that General Relativity with negative cosmological constant in three spacetime dimensions admits a new family of boundary conditions being labeled by a nonnegative integer $k$. Gravitational excitations are then described by…

High Energy Physics - Theory · Physics 2016-07-20 Alfredo Pérez , David Tempo , Ricardo Troncoso

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 investigate the brane models in arbitrary dimensional critical gravity presented in [Phys. Rev. Lett. 106, 181302 (2011)]. For the model of the thin branes with codimension one, the Gibbons-Hawking surface term and the junction…

High Energy Physics - Theory · Physics 2014-12-23 Yi Zhong , Feng-Wei Chen , Qun-Ying Xie , Yu-Xiao Liu

We reformulate the Randall-Sundrum (RS) model on the compactified AdS by adding a term proportional to the area of the boundary to the usual gravity action with a negative cosmological constant and show that gravity can still be localized…

High Energy Physics - Theory · Physics 2010-02-03 N. S. Deger , A. Kaya

We study the structure of the higher-curvature gravitational densities that are induced from holographic renormalization in AdS$_{d+1}$. In a braneworld construction, such densities define a d-dimensional higher-curvature gravitational…

High Energy Physics - Theory · Physics 2023-02-02 Pablo Bueno , Roberto Emparan , Quim Llorens

We identify what has been referred to as 'cut-off CFT' in holographic braneworld with $T^2$ or $T\bar T$ theory (depending on the dimension of the bulk), so that the holographic dual of AdS-gravity with Neumann boundary conditions is a…

High Energy Physics - Theory · Physics 2025-12-17 Nele Callebaut , Matteo Selle

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 explore the connection between anti-deSitter supergravity and gauge theory, in the context of bound states of many D1 and D5 branes. The near-horizon $AdS_3$ supergravity describes the identity sector of the conformal field theory…

High Energy Physics - Theory · Physics 2007-05-23 Emil J. Martinec

In models with extra dimensions, matter particles can be easily localized to a 'brane world', but gravitational attraction tends to spread out in the extra dimensions unless they are small. Strong warping gradients can help localize gravity…

High Energy Physics - Theory · Physics 2023-09-27 G. Bruno De Luca , Nicolò De Ponti , Andrea Mondino , Alessandro Tomasiello

Stability and localization of the gravitational perturbations for a special brane system in Eddington-inspired Born-Infeld (EiBI) gravity were studied in [Phys. Rev. D 85, 124053 (2012)]. In this paper, we show that the gravitational…

High Energy Physics - Theory · Physics 2014-11-11 Qi-Ming Fu , Li Zhao , Ke Yang , Bao-Min Gu , Yu-Xiao Liu

In this paper, we study the regularity of asymptotically hyperbolic metrics with Einstein condition near boundary and Weyl curvature smooth enough in arbitrary dimension. Following Michael Anderson's method, we show that $C^{m,\alpha}$…

Differential Geometry · Mathematics 2019-10-30 Xiaoshang Jin

In Randall-Sundrum-type brane-world cosmologies, density perturbations generate Weyl curvature in the bulk, which in turn backreacts on the brane via stress-energy perturbations. On large scales, the perturbation equations contain a closed…

High Energy Physics - Theory · Physics 2009-10-31 Christopher Gordon , Roy Maartens
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