English

On the Geroch-Traschen class of metrics

General Relativity and Quantum Cosmology 2011-06-07 v1 Mathematical Physics math.MP

Abstract

We compare two approaches to Semi-Riemannian metrics of low regularity. The maximally "reasonable" distributional setting of Geroch and Traschen is shown to be consistently contained in the more general setting of nonlinear distributional geometry in the sense of Colombeau.

Cite

@article{arxiv.0811.1376,
  title  = {On the Geroch-Traschen class of metrics},
  author = {Roland Steinbauer and James A. Vickers},
  journal= {arXiv preprint arXiv:0811.1376},
  year   = {2011}
}

Comments

LaTeX, 22 pages

R2 v1 2026-06-21T11:39:43.650Z