Global algebras of nonlinear generalized functions with applications in general relativity

Authors

  • Eduard A. Nigsch Fakultat fur Mathematik, Universitat Wien
  • Clemens Samann Fakultat fur Mathematik, Universitat Wien

DOI:

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

Keywords:

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

Abstract

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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Issue

Vol. 7 No. 2 (2013)

Section

Articles

How to Cite

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