Brane in 6D with increasing gravitational trapping potential

TL;DR

This paper presents a novel 6D brane solution that localizes matter and gravity on a 4D brane using an increasing gravitational potential, challenging traditional exponential decay models.

Contribution

It introduces a new Einstein equation solution in 6D spacetime with a brane, demonstrating matter and gravity localization via an increasing potential.

Findings

Zero modes of matter fields are localized on the brane.

Gravity is localized despite a non-exponential, finite asymptotic potential.

The solution broadens understanding of gravitational trapping mechanisms.

Abstract

A new solution to Einstein equations in (1+5)-spacetime with an embedded (1+3) brane is given. This solution localizes the zero modes of all kinds of matter fields and 4-gravity on the (1+3) brane by an increasing, transverse gravitational potential. This localization occurs despite the fact that the gravitational potential is not a decreasing exponential, and asymptotically approaches a finite value rather than zero.