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The Deformation Retract and Topological Folding of Chaotic Schwarzchild Space
Abstract
The aim of the present work is to introduce and study a new type of metric, namely chaotic Schwarzchild metric. New types of geodesics in chaotic Schwarzchild space are presented. The retraction of chaotic Schwarzchild space is defined and discussed. The deformation retract of chaotic Schwarzchild space into itself and onto a geodesics are deduced. Also, the isometric and topological folding in each case and the relation between the deformation retracts after and before folding have been obtained. New types of homotopy maps are described.
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