Braneworld Stars: Anisotropy Minimally Projected Onto the Brane

Abstract

In the context of the Randall-Sundrum braneworld, an exhaustive and detailed description of the approach based in the minimal anisotropic consequence onto the brane, which has been successfully used to generate exact interior solutions to Einstein's field equations for static and non-uniform braneworld stars with local and non-local bulk terms, is carefully presented. It is shown that this approach allows the generation of a braneworld version for any known general relativistic solution.

15 pages, 1 figure. Schwarzschild's solution removed. References added. Based on the contributed lecture given at the IX Asia-Pacific International Conference on Gravitation and Astrophysics (ICGA9), June 28-July 2, 2009, Wuhan, China

Cited by in corpus (15)

• Black holes by gravitational decoupling
• The Minimal Geometric Deformation Approach Extended
• A new family of analytical anisotropic solutions by gravitational decoupling
• Anisotropic Tolman VII solution by gravitational decoupling
• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Brane-world stars with solid crust and vacuum exterior
• The role of exterior Weyl fluids on compact stellar structures in Randall-Sundrum gravity
• Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Compact Anisotropic Models in General Relativity by Gravitational Decoupling
• Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• A note of the first law of thermodynamics by gravitational decoupling
• Searching for modified gravity: a conformal sector?
• Braneworld-Klein-Gordon system in the framework of gravitational decoupling