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The static spherically symmetric solution for (R +- {\mu}^4/R) model of f(R)gravity is investigated. We obtain the metric for space-time in the solar system that reduces to the Schwarzschild metric, when {\mu} tends to zero. For the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Kh. Saaidi , A. Vaji , A. Aghamomammadi

Spherical symmetry in $f(R)$ gravity is discussed in details considering also the relations with the weak field limit. Exact solutions are obtained for constant Ricci curvature scalar and for Ricci scalar depending on the radial coordinate.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , A. Stabile , A. Troisi

A static Friedmann brane in a 5-dimensional bulk (Randall-Sundrum type scenario) can have a very different relation between the density, pressure, curvature and cosmological constant than in the case of the general relativistic Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Laszlo Gergely , Roy Maartens

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 construct analytic solutions describing black holes and black branes in asymptotically Lifshitz spacetimes with arbitrary dynamical exponent z and for arbitrary number of dimensions. The model considered consists of Einstein gravity with…

High Energy Physics - Theory · Physics 2011-09-08 Javier Tarrio , Stefan Vandoren

We investigate the analogue of the Randall-Sundrum brane-world in the case when the bulk contains a black hole. Instead of the static vacuum Minkowski brane of the RS model, we have an Einstein static vacuum brane. We find that the presence…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sanjeev S. Seahra , Chris Clarkson , Roy Maartens

We study the cosmology of a three-brane in a specific five-dimensional scalar-gravity (i.e. soft-wall) background, known as the linear dilaton background. We discover that the Friedmann equation of the brane-world automatically contains a…

High Energy Physics - Phenomenology · Physics 2023-06-21 Sylvain Fichet , Eugenio Megias , Mariano Quiros

The cosmological dynamics of a brane world scenario where the bulk action is taken as a generic function of the Ricci scalar is considered in a framework where the use of the $\mathbb{Z}_2$ symmetry and Israel junction conditions are…

General Relativity and Quantum Cosmology · Physics 2013-08-13 Zahra Haghani , Hamid Reza Sepangi , Shahab Shahidi

We study the evolution of scalar perturbations in the radiation-dominated era of Randall-Sundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. We find that density perturbations with…

Astrophysics · Physics 2009-03-31 Antonio Cardoso

We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to…

General Relativity and Quantum Cosmology · Physics 2008-11-07 S. Deser , O. Sarioglu , B. Tekin

We study properties of static spherically symmetric solutions in $f(\mathbb T)$ gravity. Based on our previous work on generalising Bianchi identities for this kind of theories, we show how this search of solutions can be reduced to the…

General Relativity and Quantum Cosmology · Physics 2021-05-03 Alexey Golovnev , Maria-Jose Guzman

We consider a codimension-one brane embedded in a gravity-dilaton bulk action, whose symmetries are compatible with T-duality along the space-like directions parallel to the brane, and the bulk time-like direction. The equations of motions…

High Energy Physics - Theory · Physics 2009-11-11 Olindo Corradini , Massimiliano Rinaldi

In brane-world scenarios, electromagnetic waves (EMWs) are confined to the brane, while gravitational waves (GWs) can propagate through the bulk spacetime. This fundamental difference has been exploited in multiple cosmological studies to…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Molin Liu , Xi Zhou , Xiangsheng Tan

In this paper we present Plane symmetric, Cylindrically Symmetric and Spherically Symmetric Black hole or Vacuum solutions of Einstein Field Equations(EFEs). Some of these solutions are new which we have not seen in the literature. This…

General Physics · Physics 2024-08-15 Farhad Ali

We investigate the existence of brane solutions in braneworld scenarios described by real scalar field in the presence of modified $f(R)$ gravity with a single extra dimension. In the case of constant curvature, we obtain first-order…

High Energy Physics - Theory · Physics 2008-11-26 V. I. Afonso , D. Bazeia , R. Menezes , A. Yu. Petrov

The effective gravitational field equations on and off a 3-brane world possessing a Z_{2} mirror symmetry and embedded in a five-dimensional bulk spacetime with cosmological constant were derived by Shiromizu, Maeda and Sasaki (SMS) in the…

High Energy Physics - Theory · Physics 2009-11-10 A. N. Aliev , A. E. Gumrukcuoglu

We solve the Einstein equations in the Randall-Sundrum framework with a static, spherically symmetric matter distribution on the {\it physical brane} and obtain an approximate expression for the gravitational field outside the source to…

High Energy Physics - Theory · Physics 2009-10-31 Ioannis Giannakis , Hai-cang Ren

We consider the four dimensional discontinuity generated by two identical pieces of a five dimensional space pasted along their edge (that is a "brane" in a "$Z_2$-symmetric" "bulk"). Using a four plus one decomposition of the Riemann…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nathalie Deruelle , Joseph Katz

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

We analyse the cosmology of a brane world model where a single brane carrying the standard model fields forms the boundary of a 5-dimensional AdS bulk (the Randall-Sundrum II scenario). We focus on the thermal radiation of bulk gravitons,…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Hebecker , J. March-Russell
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