Gravitational Geons on the Brane
arXiv:1111.3565 · doi:10.1007/s10714-011-1259-6
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.
14 pages with 9 figures. To appear in General Relativity and Gravitation