Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 23, Issue 10, Pages R91-R114Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/23/10/R01
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Funding
- Austrian Science Fund (FWF) [Y 237] Funding Source: researchfish
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We review the extent to which one can use classical distribution theory in describing solutions of Einstein's equations. We show that there are a number of physically interesting cases which cannot be treated using distribution theory but require a more general concept. We describe a mathematical theory of nonlinear generalized functions based on Colombeau algebras and show how this may be applied in general relativity. We end by discussing the concept of singularity in general relativity and show that certain solutions with weak singularities may be regarded as distributional solutions of Einstein's equations.
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