Gravitational Geons on the Brane

TL;DR

This paper investigates the existence of gravitational geons on a 3D brane within a 4+1D spacetime, demonstrating that such solutions can exist under specific metric conditions.

Contribution

It provides analytical and numerical evidence that gravitational geons can exist on a brane in higher-dimensional spacetime, expanding understanding of brane-world gravity solutions.

Findings

Existence of gravitational geon solutions on the brane.

Analytical g_rr solutions in the weak field limit.

Numerical solutions for stronger gravitational fields.

Abstract

In this paper, we examine the possibility of static, spherically symmetric gravitational geons on a 3 dimensional brane embedded in a 4+1 dimensional space-time. We choose a specific g_tt for the brane-world space-time metric. We then calculate g_rr analytically in the weak field limit and numerically for stronger fields. We show that the induced field equations on the brane do admit gravitational geon solutions.