Nonsingular Increasing Gravitational Potential for the Brane in 6D

TL;DR

This paper introduces a new 6D brane solution in Einstein's equations that is free of singularities, features an increasing gravitational potential, and effectively localizes matter and gravity on the brane with varying localization radii.

Contribution

It provides a novel nonsingular 6D brane model with an increasing gravitational potential that localizes matter fields and gravity, differing from previous models.

Findings

The solution is free of singularities in 6D space-time.

The gravitational potential increases and approaches a finite value asymptotically.

Different matter fields have distinct localization radii on the brane.

Abstract

We present a new (1+3)-brane solution to Einstein equations in (1+5)-space. As distinct from previous models this solution is free of singularities in the full 6-dimensional space-time. The gravitational potential transverse to the brane is an increasing (but not exponentially) function and asymptotically approaches a finite value. The solution localizes the zero modes of all kinds of matter fields and Newtonian gravity on the brane. An essential feature of the model is that different kind of matter fields have different localization radii.