The Schwarzschild's Braneworld Solution

Abstract

In the context of the Randall-Sundrum braneworld, the minimal geometric deformation approach, which has been successfully used to generate exact interior solutions to Einstein's field equations for static braneworld stars with local and non-local bulk terms, is used to obtain the braneworld version of the Schwarzschild's interior solution. Using this new solution, the behaviour of the Weyl functions is elucidated in terms of the compactness for different stellar distributions.

17 pages, accepted in Modern Physics Letters A

References in corpus (5)

• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Non-uniform Braneworld Stars: an Exact Solution
• Friedmann branes with variable tension
• Black Holes on Thin 3-branes of Codimension-2 and their Extension into the Bulk
• Black Holes and Black String-like Solutions in Codimension-2 Braneworlds