Schwarschild metric in six dimensions - a topological study

Nasr Ahmed; H. Rafat

doi:10.24297/jam.v9i4.2368

Schwarschild metric in six dimensions - a topological study

Authors

Nasr Ahmed Mathematics Department, Faculty of science, Taibah university, Saudi Arabia. Department of Mathematics, Faculty of Science of Tanta University, Tanta, Egypt.
H. Rafat Mathematics Department, Faculty of science, Taibah university, Saudi Arabia. Astronomy Department, National Research Institute of Astronomy and Geophysics, Helwan, Cairo, Egypt

DOI:

https://doi.org/10.24297/jam.v9i4.2368

Keywords:

Space-time Geodesics, Extra-dimensions, folding, deformation retract. Mathematical Subject Classification 2010, 54E35, 54C15, 58H15, 32G10, 14B12

Abstract

In this article we introduce some types of the deformtion retracts of the 6D Schwarzchild making use of Lagrangian equations. The retraction of this space into itself and into geodesics has been presented. The relation between folding and deformation retract of this space has been achieved. A relation for energy conservation similar to the one obtained in four dimensions has been obtained for the six dimensional case.

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Published

2014-10-28

How to Cite

Ahmed, N., & Rafat, H. (2014). Schwarschild metric in six dimensions - a topological study. JOURNAL OF ADVANCES IN MATHEMATICS, 9(4), 2515–2533. https://doi.org/10.24297/jam.v9i4.2368