Braneworld Teleparallel Gravity

TL;DR

This paper explores how teleparallel gravity behaves in a braneworld scenario, specifically within the Randall-Sundrum II model, deriving the effective field equations and analyzing the influence of extra degrees of freedom and bulk effects.

Contribution

It derives the induced teleparallel field equations on a brane in the Randall-Sundrum II model, including new terms from teleparallel degrees of freedom and bulk effects.

Findings

Induced equations contain two extra terms from teleparallel degrees of freedom.

Bulk effects influence the brane's teleparallel gravity equations.

Comparison shows differences from general relativity in the braneworld context.

Abstract

We study the gravity in the context of a braneworld teleparallel scenario. The geometrical setup is assumed to be Randall-Sundrum II model where a single positive tension brane is embedded in an infinite AdS bulk. We derive the equivalent of Gauss-Codacci equations in teleparallel gravity and junction conditions in this setup. Using these results we derive the induced teleparallel field equations on the brane. We show that compared to general relativity, the induced field equations in teleparallel gravity contain two extra terms arising from the extra degrees of freedom in the teleparallel Lagrangian. The term carrying the effects of the bulk to the brane is also calculated and its implications are discussed.