On The Incompleteness Of Einstein-De Sitter Spacetime

Narayan S Iyer; Ram S Iyer

doi:10.20944/preprints202407.2043.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 25 July 2024 / Approved: 25 July 2024 / Online: 25 July 2024 (13:34:31 CEST)

This paper presents a mathematically rigorous investigation into the incompleteness of Einstein-de Sitter spacetime. The incompleteness of the spacetime is proved using results regarding isometries between connected Semi-Riemannian manifolds following the computation of the Einstein tensor of the Einstein-de Sitter spacetime. Various properties of the Einstein-de Sitter spacetime apart from its incompleteness is also discussed based on its incompleteness with the help of various results of Semi-Riemannian manifolds. Also, few properties of spacetime which cannot be concluded from the incompleteness of the spacetime is also discussed.

einstein-de sitter spacetime, completeness of spacetime, spacetime geometry, general relativity, gravitation

Physical Sciences, Mathematical Physics

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On The Incompleteness Of Einstein-De Sitter Spacetime

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