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Plane Symmetric Solutions of Gravitational Field Equations in Five Dimensions

A. N. Aliev·H. Cebeci·T. Dereli
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Abstract

We 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.

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A. N. Aliev, H. Cebeci, T. Dereli. 2006-11-13. Plane Symmetric Solutions of Gravitational Field Equations in Five Dimensions. https://arxiv.org/abs/gr-qc/0611065

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