# Gravity on branes

@article{Deruelle2001GravityOB, title={Gravity on branes}, author={Nathalie Deruelle and Joseph E. Katz}, journal={Physical Review D}, year={2001}, volume={64}, pages={083515} }

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 “Z2-symmetric” “bulk”). Using a four plus one decomposition of the Riemann tensor we write the equations for gravity on the brane and recover in a simple manner a number of known “brane world” scenarios. We study under which conditions these equations reduce, exactly or approximately, to the four dimensional Einstein equations. We conclude…

## 22 Citations

### Linearized Israel Matching Conditions for Cosmological Perturbations in a Moving Brane Background

- Physics
- 2005

In the Randall-Sundrum cosmological models, a (3+1)-dimensional brane subject to a Z2 orbifold symmetry is embedded in a (4+1)-dimensional bulk spacetime empty except for a negative cosmological…

### On brane world cosmological perturbations

- Physics
- 2002

We discuss the scalar cosmological perturbations in a 3-brane world with a 5D bulk. We first show explicitly how the effective perturbed Einstein equations on the brane (involving the Weyl fluid) are…

### Stars on branes: the view from the brane

- Physics
- 2001

We consider spherically symmetric matter configurations on a four dimensional "brane" embedded in a five dimensional $Z_2$-symmetric "bulk". We write the junction conditions between the interior and…

### On the embedding of branes in five-dimensional spaces

- Mathematics
- 2004

We investigate the embedding of n-dimensional branes in (n + 1)-dimensional spaces. We firstly consider the case when the embedding space is a vacuum bulk whose energy–momentum tensor consists of a…

### Low energy effective gravitational equations on a Gauss-Bonnet brane

- Physics
- 2006

We present effective gravitational equations at low energies in a Z{sub 2}-symmetric braneworld with the Gauss-Bonnet term. Our derivation is based on the geometrical projection approach, and we…

### Extra force from an extra dimension. Comparison between brane theory, STM and other approaches

- Physics
- 2003

We investigate the question of how an observer in 4D perceives the five-dimensional geodesic motion. We consider the interpretation of null and non-null bulk geodesics in the context of brane theory,…

### Nonuniform Braneworld Stars: AN Exact Solution

- Physics
- 2009

In this paper the first exact interior solution to Einstein's field equations for a static and nonuniform braneworld star with local and nonlocal bulk terms is presented. It is shown that the bulk…

### SEARCHING EXACT SOLUTIONS FOR COMPACT STARS IN BRANEWORLD: A CONJECTURE

- Physics
- 2008

In the context of the braneworld, a method to find consistent solutions to Einstein's field equations in the interior of a spherically symmetric, static and non-uniform stellar distribution with Weyl…

### VARIATION OF G, Λ(4) AND VACUUM ENERGY FROM BRANE-WORLD MODELS

- Physics
- 2002

In brane-world theory in five dimensions, the bulk metric is usually written in Gaussian coordinates, where g4μ = 0 and g44 = -1. However, the choice g44 = -1 is an external condition, not a…

### Mass and Charge in Brane-World and Non-Compact Kaluza-Klein Theories in 5 Dim

- Physics
- 2002

In classical Kaluza-Klein theory, with compactified extra dimensions and without scalar field, the rest mass as well as the electric charge of test particles are constants of motion. We show that in…

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