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We study a class of higher dimensional warped Einstein spacetimes with one extra dimension. These were originally identified by Brinkmann as those Einstein spacetimes that can be mapped conformally on other Einstein spacetimes, and have…

General Relativity and Quantum Cosmology · Physics 2011-04-08 Marcello Ortaggio , Vojtech Pravda , Alena Pravdova

In general relativity, cosmology and quantum field theory, spacetime is assumed to be an orientable manifold endowed with a Lorentz metric that makes it spatially and temporally orientable. The question as to whether the laws of physics…

General Relativity and Quantum Cosmology · Physics 2023-06-08 N. A. Lemos , D. Müller , M. J. Reboucas

Semiclassical Einstein's equation in five-dimension with a negative cosmological constant and conformally invariant bulk matter fields is examined in the brane world scenario with the S^1/Z_2 compactification. When numbers N_{b,f} of…

High Energy Physics - Theory · Physics 2009-10-31 Shinji Mukohyama

In this article, we explore the kinematics of timelike geodesic congruences in warped five dimensional bulk spacetimes, with and without thick or thin branes. Beginning with geodesic flows in the Randall--Sundrum AdS (Anti de Sitter)…

General Relativity and Quantum Cosmology · Physics 2011-04-26 Suman Ghosh , Anirvan Dasgupta , Sayan Kar

We present a simple gedanken experiment in which a compact object traverses a spacetime with three macroscopic spatial dimensions and $n$ compact dimensions. The compactification radius is allowed to vary, as a function of the object's…

General Relativity and Quantum Cosmology · Physics 2023-05-08 Matthew J. Lake , Shi-Dong Liang , Anucha Watcharapasorn

A new approach to space-time asymptotics is presented, refining Penrose's idea of conformal transformations with infinity represented by the conformal boundary of space-time. Generalizing examples such as flat and Schwarzschild space-times,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sean A. Hayward

We consider a particular example of dynamical compactification of an anisotropic 7+1 dimensional Universe in Einstein - Gauss - Bonnet gravity. Starting from rather general totally anisotropic initial conditions a Universe in question…

General Relativity and Quantum Cosmology · Physics 2020-04-02 Dmitry Chirkov , Alex Giacomini , Alexey Toporensky

We consider a thick p-brane embedded in an n-dimensional spacetime possessing radial symmetry in the directions orthogonal to the brane. We first consider a static brane, and find a general fine tuning relationship between the brane and…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. A. Appleby , R. A. Battye

Examining the reverse evolution of the universe from the present, long before reaching Planck density dynamics one expects major modifications from the de-coherent thermal equations of state, suggesting a prior phase that has macroscopic…

Astrophysics · Physics 2007-05-23 James V. Lindesay , H. Pierre Noyes

We derive the gauge invariant perturbation equations for a 5-dimensional bulk spacetime in the presence of a brane. The equations are derived in full generality, without specifying a particular energy content of the bulk or the brane. We do…

High Energy Physics - Theory · Physics 2007-05-23 Alain Riazuelo , Filippo Vernizzi , Danièle Steer , Ruth Durrer

Recently a new 4D Einstein-Gauss-Bonnet theory has been introduced \textbf{[Phys. Rev. Lett. 124 (2020) 081301]} with a serious debate that it does not possess a covariant equation of motion in $4D$. This feature, makes impossible to…

General Relativity and Quantum Cosmology · Physics 2022-04-18 Shahab Shahidi , Nima Khosravi

According to some authors, gravity might be an emergent phenomenon in a fundamentally flat space-time. In this case the speed of light in the vacuum would not coincide exactly with the basic parameter "c" entering Lorentz transformations…

General Relativity and Quantum Cosmology · Physics 2013-11-19 M. Consoli , A. Pluchino

We consider a scenario of modified gravity, which is generic to late-time acceleration, namely, acceleration in the Jordan frame and no acceleration in the Einstein frame. The possibility is realized by assuming an interaction between dark…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-15 Shahnawaz A. Adil , Mayukh R. Gangopadhyay , M. Sami , Mohit K. Sharma

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

We propose a modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial frames and agreement with Einstein's theory…

High Energy Physics - Theory · Physics 2011-09-14 Joao Magueijo , Lee Smolin

The quest for a quantum gravity phenomenology has inspired a quantum notion of space-time, which motivates us to study the fate of the relativistic symmetries of a particular model of quantum space-time, as well as its intimate connection…

High Energy Physics - Theory · Physics 2023-07-21 Partha Nandi , Anwesha Chakraborty , Sayan Kumar Pal , Biswajit Chakraborty , Frederik G Scholtz

We consider a brane world in an arbitrary number of dimensions without Z_2 symmetry and derive the effective Einstein equation on the brane, where its right-hand side is given by the matter on the brane and the curvature in the bulk. This…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daisuke Yamauchi , Misao Sasaki

In the first part of this work we review the equations of motion for the brane presented in Friedmann-Robertson-Walker (FRW) form, when bulk is five-dimensional (A)dS Black Hole. The spacelike (timelike) FRW brane equations are considered…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov , Sachiko Ogushi

Violation of unitarity for noncommutative field theory on compact space-times is considered. Although such theories are free of ultraviolet divergences, they still violate unitarity while in a usual field theory such a violation occurs when…

High Energy Physics - Theory · Physics 2009-01-07 M. Chaichian , A. Demichev , P. Presnajder , A. Tureanu

Field theories compactified on non-simply connected spaces, which in general allow to impose twisted boundary conditions, are found to unexpectedly have a rich phase structure. One of characteristic features of such theories is the…

High Energy Physics - Theory · Physics 2007-05-23 Hisaki Hatanaka , Seiho Matsumoto , Katsuhiko Ohnishi , Makoto Sakamoto