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On The Incompleteness Of Einstein-De Sitter Spacetime
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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.
Title: On The Incompleteness Of Einstein-De Sitter Spacetime
Description:
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.
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