UV caps, IR modification of gravity, and recovery of 4D gravity in regularized braneworlds

TL;DR

This paper investigates a six-dimensional braneworld model with regularized singularities, demonstrating how four-dimensional Einstein gravity can be recovered at intermediate scales through brane bending effects.

Contribution

It introduces a regularization scheme for codimension-2 branes using ring-like codimension-1 branes with caps, and analyzes gravity behavior across different scales in this setup.

Findings

Gravity is described by Brans-Dicke theory at short distances.

Higher-dimensional gravity effects emerge at large distances.

Four-dimensional Einstein gravity is recovered at intermediate scales.

Abstract

In the context of six-dimensional conical braneworlds we consider a simple and explicit model that incorporates long distance modification of gravity and regularization of codimension-2 singularities. To resolve the conical singularities we replace the codimension-2 branes with ring-like codimension-1 branes, filling in the interiors with regular caps. The six-dimensional Planck scale in the cap is assumed to be much greater than the bulk Planck scale, which gives rise to the effect analogous to brane-induced gravity. Weak gravity on the regularized brane is studied in the case of a sharp conical bulk. We show by a linear analysis that gravity at short distances is effectively described by the four-dimensional Brans-Dicke theory, while the higher dimensional nature of gravity emerges at long distances. The linear analysis breaks down at some intermediate scale, below which four-dimensional Einstein gravity is shown to be recovered thanks to the second-order effects of the brane bending.