General Solutions of Braneworlds under the Schwarzschild Ansatz

TL;DR

This paper derives general solutions for braneworld models under the Schwarzschild ansatz, linking brane metrics to bulk configurations and identifying conditions for reproducing Einstein gravity's successes.

Contribution

It provides new general solutions for braneworld dynamics under the Schwarzschild ansatz, clarifying the relationship between brane and bulk metrics and fine-tuning conditions.

Findings

Derived general solutions relating brane and bulk metrics.

Identified fine-tuning conditions for Einstein gravity reproduction.

Established criteria for braneworld configurations under Schwarzschild ansatz.

Abstract

General solutions for braneworld dynamics coupled with the bulk Einstein equation are derived under the Schwarzschild ansatz. They relate the brane metric to the exterior configurations, and establish fine tuning conditions for the braneworlds to reproduce successes of the Einstein gravity.