Open Access Open Access  Restricted Access Subscription or Fee Access

The Deformation Retract and Topological Folding of Chaotic Schwarzchild Space

A. E. El-Ahmady, G. M. Bahaa, F. A. Abd El-Salam


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.


Chaotic Schwarzchild metric, Deformation retract, Folding

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.