Inversion of a "discontinuous coordinate transformation" in general relativity
Mathematical Physics
2010-03-23 v1 Classical Analysis and ODEs
Differential Geometry
math.MP
Abstract
As early as 1972, Penrose - in a purely formal way - introduced a "discontinuous coordinate transformation", which relates a continuous representation of the metric of impulsive pp-waves to a discontinuous one. On the basis of the invertibility concept for generalized functions developed recently by the first author, we show that this discontinuous coordinate transformation indeed represents an invertible generalized function in the appropriate sense.
Cite
@article{arxiv.1003.4245,
title = {Inversion of a "discontinuous coordinate transformation" in general relativity},
author = {Evelina Erlacher and Michael Grosser},
journal= {arXiv preprint arXiv:1003.4245},
year = {2010}
}
Comments
LaTeX, 23 pages, Contribution presented at the International Conference on Generalized Functions GF2009, August/September 2009, Vienna, Austria,