Global algebras of nonlinear generalized functions with applications in general relativity

Autores

  • Eduard A. Nigsch Fakultät für Mathematik, Universität Wien
  • Clemens Samann Fakultät für Mathematik, Universität Wien

DOI:

https://doi.org/10.11606/issn.2316-9028.v7i2p143-171

Palavras-chave:

Colombeau algebra, Nonlinear generalized function, Distributional geometry, Geroch Traschen class, Smoothing kernel, Full and special Colombeau algebra, General relativity, Functional analytic approach, Kernel theory

Resumo

We give an overview of the development of algebras of generalzied funtions in the sense of Colombeau and recent advances concerning diffeomorphism invariant global algebras of generalized funtions and tensor fields. We furthermore provide a survey on possible applications in general relativity in light of the limitations of distribution theory.

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Edição

v. 7 n. 2 (2013)

Seção

Artigos

Como Citar

Global algebras of nonlinear generalized functions with applications in general relativity. (2013). São Paulo Journal of Mathematical Sciences, 7(2), 143-171. https://doi.org/10.11606/issn.2316-9028.v7i2p143-171