Localizing Gravity on a 3-brane in Higher Dimensions

TL;DR

This paper explores how gravity can be localized on a 3-brane within higher-dimensional spaces, presenting solutions that include bulk cosmological constants and magnetic fields, with implications for four-dimensional gravity corrections.

Contribution

It provides new metric solutions in higher dimensions with mechanisms for localizing gravity on a 3-brane, including effects of bulk magnetic fields and cosmological constants.

Findings

Gravity is localized on a 3-brane in higher dimensions.

Corrections to 4D gravity are power-law suppressed.

Bulk magnetic fields can regularize geometry and aid localization.

Abstract

We present metric solutions in six and higher dimensions with a bulk cosmological constant, where gravity is localized on a 3-brane. The corrections to four-dimensional gravity from the bulk continuum modes are power-law suppressed. Furthermore, the introduction of a bulk ``hedgehog'' magnetic field leads to a regular geometry, and can localize gravity on the 3-brane with either positive, zero or negative bulk cosmological constant.