What Is the Validity Domain of Einstein’s Equations? Distributional Solutions over Singularities and Topological Links in Geometrodynamics

What Is the Validity Domain of Einstein’s Equations? Distributional Solutions over Singularities and Topological Links in Geometrodynamics

The existence of singularities alerts that one of the highest priorities of a centennial perspective on general relativity should be a careful re-thinking of the validity domain of Einstein’s field equations. We address the problem of constructing distinguishable extensions of the smooth spacetime m...

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Bibliographic Details
Main Author: Elias Zafiris
Format: Article
Language:English
Published: MDPI AG 2016-08-01
Series:Universe
Subjects:
general relativity
sheaf cohomology
abstract differential geometry
singularities
geometrodynamics
distributions
generalized functions
nowhere dense algebras
algebra sheaves
topological links
wormholes
Borromean rings
Online Access:http://www.mdpi.com/2218-1997/2/3/17

Internet

http://www.mdpi.com/2218-1997/2/3/17

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