2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187949We present the effective field equations obtained from a generalized gravity action with Euler-Poincare term and a cosmological constant in a $D$ dimensional bulk space-time. A class of plane-symmetric solutions that describe a 3-brane world embedded in a D=5 dimensional bulk space-time are given.Paper presented at The 5th Workshop on Quantization, Dualities and Integrable Systems, Pamukkale University, 23-28 January 2006, Denizli, TurkeyGeneral Relativity and Quantum Cosmologytext