Non-$\mathbb{Z}_{2}$ symmetric braneworlds in scalar tensorial gravity

TL;DR

This paper derives effective Einstein-Brans-Dicke equations for a non-$\mathbb{Z}_{2}$ symmetric braneworld with hybrid compactification, revealing similarities to Einstein's case but with additional features from exotic compactifications.

Contribution

It provides the first derivation of effective equations in a non-$\mathbb{Z}_{2}$ symmetric braneworld within scalar-tensor gravity using the Gauss-Codazzi formalism.

Findings

Equations resemble Einstein's case but include extra information.

Highlights the role of exotic compactifications in braneworld scenarios.

Extends understanding of scalar-tensor gravity in braneworld models.

Abstract

We obtain, via the Gauss-Codazzi formalism, the expression of the effective Einstein-Brans-Dicke projected equations in a non-$\mathbb{Z}_{2}$ symmetric braneworld scenario which presents hybrid compactification. It is shown that the functional form of such equations resembles the one in the Einstein's case, except by the fact that they bring extra informations in the context of exotic compactifications.