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In this article, we develop a formalism which is different from the standard lensing scenario and is necessary for understanding lensing by gravitational fields which arise as solutions of the effective Einstein equations on the brane. We…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Supratik Pal , Sayan Kar

We study the properties of gravity and bulk fields living in a torsion warped braneworld. The torsion is driven by a background vector whose norm provides a source for the bulk cosmological constant. For a vector as the derivative of a…

General Relativity and Quantum Cosmology · Physics 2022-03-14 J. E. G. Silva , L. J. S. Sousa , W. T. Cruz , C. A. S. Almeida

A general analysis of the induced brane dynamics is performed when the intrinsic curvature term is included in the action. Such a term is known to cause dramatic changes and is generically induced by quantum corrections coming from the bulk…

High Energy Physics - Theory · Physics 2010-05-28 Georgios Kofinas

In this work we deal with the presence of braneworld solutions in a five-dimensional space-time with a single extra spatial dimension of infinite extent. The braneworld scenario is built under the presence of a single real scalar field, and…

High Energy Physics - Theory · Physics 2015-09-16 D. Bazeia , A. Lobao , L. Losano , R. Menezes , A. Yu. Petrov

It is shown that a localized four-dimensional Einstein term, induced by quantum corrections, modifies significantly the law of gravity in a Randall-Sundrum brane world. In particular, the short-distance behavior of gravity changes from…

High Energy Physics - Theory · Physics 2010-02-03 E. Kiritsis , N. Tetradis , T. N. Tomaras

The general solution of Einstein's gravity equation in $D$ dimensions for an anisotropic and spherically symmetric matter distribution is calculated in a bulk with position dependent cosmological constant. Results for $n$ concentric…

General Relativity and Quantum Cosmology · Physics 2013-03-01 I. C. Jardim , R. R. Landim , G. Alencar , R. N. Costa Filho

A set of consistency conditions is derived from Einstein equations for brane world scenarios with a spatially periodic internal space. In particular, the sum of the total tension of the flat branes and the non-negative integral of the…

High Energy Physics - Theory · Physics 2009-10-31 Gary Gibbons , Renata Kallosh , Andrei Linde

We study a codimension 2 braneworld in the Einstein-Gauss-Bonnet gravity. In the linear regime, we show the conventional Einstein gravity can be recovered on the brane. While, in the nonlinear regime, we find corrections due to the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sugumi Kanno , Jiro Soda

We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the $Z_2$ symmetric brane. Applying…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Kei-ichi Maeda , Shuntaro Mizuno , Takashi Torii

We investigate a brane model based on Randall-Sundrum scenarios with a generic dark energy component. The latter drives the accelerated expansion at late times of the Universe. In this scheme, extra terms are added into Einstein Field…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-21 Miguel A. Garcia-Aspeitia , Juan Magaña , Alberto Hernandez-Almada , V. Motta

This course is an introduction to the physics of braneworlds. We concentrate on braneworlds with only one extra-dimension and discuss their gravity. We derive the gravitational equations on the brane from the bulk Einstein equation and…

High Energy Physics - Theory · Physics 2009-11-11 Ruth Durrer

We obtain, via the Gauss-Codazzi formalism, the expression of the effective Einstein-Brans-Dicke projected equations in a non-$\mathbb{Z}_{2}$ symmetric braneworld scenario which presents hybrid compactification. It is shown that the…

High Energy Physics - Theory · Physics 2008-12-18 M. C. B. Abdalla , M. E. X. Guimaraes , J. M. Hoff da Silva

We analyse the impact of positivity conditions on static spherically symmetric deformations of the Schwarzschild space-time. The metric is taken to satisfy, at least asymptotically, the Einstein equation in the presence of a non-trivial…

General Relativity and Quantum Cosmology · Physics 2023-05-23 A. D'Alise , G. Fabiano , D. Frattulillo , S. Hohenegger , D. Iacobacci , F. Pezzella , F. Sannino

We consider cosmological models where the universe, governed by Einstein's equations, is a piece of a five dimensional double-sided anti-de Sitter spacetime (that is, a "$Z_2$-symmetric bulk") with matter confined to its four dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Nathalie Deruelle , Tomas Dolezel , Joseph Katz

It has been suggested that codimension-two braneworlds might naturally explain the vanishing of the 4D effective cosmological constant, due to the automatic relation between the deficit angle and the brane tension. To investigate whether…

High Energy Physics - Theory · Physics 2008-11-26 Jérémie Vinet , James M. Cline

We consider a six-dimensional axisymmetric Einstein-Maxwell model of warped braneworlds. The bulk is bounded by two branes, one of which is a conical 3-brane and the other is a 4-brane wrapped around the axis of symmetry. The latter brane…

High Energy Physics - Theory · Physics 2008-11-26 Tsutomu Kobayashi , Yu-ichi Takamizu

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 the framework of a general scalar-tensor theory, where the scalar field is non-minimally coupled to the five-dimensional Ricci scalar curvature, we investigate the emergence of complete brane-world solutions. By assuming a variety of…

High Energy Physics - Theory · Physics 2020-05-06 Theodoros Nakas , Panagiota Kanti , Nikolaos Pappas

In this thesis, we explore three phenomenological alternatives to the current paradigm of the standard inflationary big bang scenario. The three alternative themes are spin torsion (or Einstein-Cartan-Kibble-Sciama) theories, extra…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bernard Leong

We study two $(4+n)$-dimensional branes embedded in $(5+n)$-dimensional spacetime. Using the gradient expansion approximation, we find that the effective theory is described by $(4+n)$-dimensional scalar-tensor gravity with a specific…

High Energy Physics - Theory · Physics 2014-11-20 S. Feranie , Arianto , Freddy P. Zen