General Solution for the Static, Spherical and Asymptotically Flat Braneworld

TL;DR

This paper derives a general solution for static, spherical, and asymptotically flat braneworlds, highlighting the solution's arbitrariness and discussing potential ways to improve predictability in the theory.

Contribution

It provides the first comprehensive derivation of the general solution for this class of braneworld models, revealing inherent arbitrariness and exploring possible resolutions.

Findings

Solution involves significant arbitrariness, reducing predictability.

Discussion of methods to constrain or resolve the arbitrariness.

Highlights challenges in modeling braneworld scenarios.

Abstract

The general solution for the static, spherical and asymptotically flat braneworld is derived by solving the bulk Einstein equation and braneworld dynamics. We show that it involves a large arbitrariness, which reduces the predictability of the theory. Ways out of the difficulty are discussed.