Global algebras of nonlinear generalized functions with applications in general relativity
Functional Analysis
2014-07-01 v2 Mathematical Physics
math.MP
Abstract
We give an overview of the development of algebras of generalized functions in the sense of Colombeau and recent advances concerning diffeomorphism invariant global algebras of generalized functions and tensor fields. We furthermore provide a survey on possible applications in general relativity in light of the limitations of distribution theory.
Keywords
Cite
@article{arxiv.1309.1451,
title = {Global algebras of nonlinear generalized functions with applications in general relativity},
author = {Eduard A. Nigsch and Clemens Sämann},
journal= {arXiv preprint arXiv:1309.1451},
year = {2014}
}