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To ensure the existence of a well defined linearized gravitational wave equation, we show that the spacetimes in the so-called "Einstein-Gauss-Bonnet gravity in four dimension" have to be locally conformally flat.

General Relativity and Quantum Cosmology · Physics 2022-02-23 Li-Ming Cao , Liang-Bi Wu

In this Letter we present a general covariant modified theory of gravity in $D\!=\!4$ space-time dimensions which propagates only the massless graviton and bypasses the Lovelock's theorem. The theory we present is formulated in $D\!>\!4$…

General Relativity and Quantum Cosmology · Physics 2020-03-02 Dražen Glavan , Chunshan Lin

Conical brane singularities in six-dimensional flux compactification models can be resolved by introducing cylindrical codimension-one branes with regular caps instead of 3-branes (a la Kaluza-Klein braneworlds with fluxes). In this paper,…

High Energy Physics - Theory · Physics 2008-11-26 Shunsuke Fujii , Tsutomu Kobayashi , Tetsuya Shiromizu

We consider a brane-world of co-dimension one without the reflection symmetry that is commonly imposed between the two sides of the brane. Using the coordinate-free formalism of the Gauss-Codacci equations, we derive the effective Einstein…

High Energy Physics - Theory · Physics 2016-09-06 Richard A. Battye , Brandon Carter , Andrew Mennim , Jean-Philippe Uzan

We consider a spherical gravitational collapse of inhomogeneous dust (and null dust) in Einstein gravity with the Gauss-Bonnet (GB) combination of quadratic curvature terms. It turns out that the presence of the coupling constant of the GB…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Sushant G. Ghosh , Sanjay Jhingan , D. W. Deshkar

We have studied spacetime structures of static solutions in the $n$-dimensional Einstein-Gauss-Bonnet-Maxwell-$\Lambda$ system. Especially we focus on effects of the Maxwell charge. We assume that the Gauss-Bonnet coefficient $\alpha$ is…

High Energy Physics - Theory · Physics 2014-11-18 Takashi Torii , Hideki Maeda

Multidimensional cosmological models with a higher dimensional space-time manifold are investigated under dimensional reduction. In the Einstein conformal frame, the effective potential for the internal scale factors is obtained. The stable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 U. Guenther , S. Kriskiv , A. Zhuk

We study the spacetime structures of the static solutions in the $n$-dimensional Einstein-Gauss-Bonnet-$\Lambda$ system systematically. We assume the Gauss-Bonnet coefficient $\alpha$ is non-negative. The solutions have the…

High Energy Physics - Theory · Physics 2009-11-11 Takashi Torii , Hideki Maeda

Models with a scalar field coupled to the Gauss-Bonnet Lagrangian appear naturally from Kaluza-Klein compactifications of pure higher-dimensional gravity. We study linear, cosmological perturbations in the limits of weak coupling and…

High Energy Physics - Theory · Physics 2011-07-18 Luca Amendola , Christos Charmousis , Stephen C. Davis

We study cosmology of the Einstein-Yang-Mills theory in ten dimensions with a quartic term in the Yang-Mills field strength. We obtain analytically a class of cosmological solutions in which the extra dimensions are static and the scale…

High Energy Physics - Theory · Physics 2009-09-08 Hironobu Kihara , Muneto Nitta , Misao Sasaki , Chul-Moon Yoo , Ignacio Zaballa

Conventional wisdom states that Newton's force law implies only four non-compact dimensions. We demonstrate that this is not necessarily true in the presence of a non-factorizable background geometry. The specific example we study is a…

High Energy Physics - Theory · Physics 2008-11-26 Lisa Randall , Raman Sundrum

We examine the effect on cosmological evolution of adding a string motivated Gauss-Bonnet term to the traditional Einstein-Hilbert action for a (1 + 3) + d dimensional Friedman-Robertson- Walker (FRW) metric. By assuming that the additional…

High Energy Physics - Theory · Physics 2007-05-23 Keith Andrew , Brett Bolen , Chad A. Middleton

In this paper we construct compactifications of generic, higher curvature Lovelock theories of gravity over direct product spaces of the type $\mathcal{M}_D=\mathcal{M}_d \times \mathcal{S}^p $, with $D=d+p$ and $d\ge5$, where…

High Energy Physics - Theory · Physics 2020-04-01 Adolfo Cisterna , Sebastián Fuenzalida , Julio Oliva

In this paper we perform stability analysis for exponential solutions in Einstein-Gauss-Bonnet and cubic Lovelock gravity. We report our findings, provide areas on parameters space and discuss familiarities and differences between cases.…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Sergey A. Pavluchenko

New results and perspectives precipitate from the (modified as) Kaluza ansatz 2 (KA2), whereby, instead of appending $n$ Planck-scale (${\rm L_o}$) compact SL dimensions to ordinary 4D spacetime, one augments $n$ such dimensions by 3 large…

General Physics · Physics 2012-06-28 Nikolaos A. Batakis

The functional renormalisation group for the Einstein-Hilbert action is investigated for the case of four infinite (or large) and one compact dimension. The motivation for this study is given by the suggestion that gravity in more than four…

General Relativity and Quantum Cosmology · Physics 2018-10-01 Natalia Alkofer

The problem of time and the quantization of three dimensional gravity in the strong coupling regime is studied following path integral methods. The time is identified with the volume of spacetime. We show that the effective action describes…

High Energy Physics - Theory · Physics 2009-10-31 J. Gamboa , F. Mendez

Recently, the possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition of the dimensionless coupling of the Gauss-Bonnet term, has been very extensively discussed in the cosmological context. The term is added as a…

High Energy Physics - Theory · Physics 2022-03-23 Claudio Corianò , Matteo Maria Maglio

We study a $D$-dimensional Einstein-Gauss-Bonnet model which includes the Gauss-Bonnet term, the cosmological term $\Lambda$ and two non-zero constants: $\alpha_1$ and $\alpha_2$. Under imposing the metric to be diagonal one, we find…

General Relativity and Quantum Cosmology · Physics 2022-06-23 K. K. Ernazarov , V. D. Ivashchuk

In Einstein-Gauss-Bonnet gravity, for a group of warped product spacetimes, we get a generalized master equation for the perturbation of tensor type. We show that the "effective metric" or "acoustic metric" for the tensor perturbation…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Li-Ming Cao , Liang-Bi Wu