Nonlinear distributional geometry and general relativity
Mathematical Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
Functional Analysis
math.MP
Abstract
This work reports on the construction of a nonlinear distributional geometry (in the sense of Colombeau's special setting) and its applications to general relativity with a special focus on the distributional description of impulsive gravitational waves.
Cite
@article{arxiv.math-ph/0104041,
title = {Nonlinear distributional geometry and general relativity},
author = {Roland Steinbauer},
journal= {arXiv preprint arXiv:math-ph/0104041},
year = {2007}
}
Comments
Latex, 12 pages, Contribution to Proceedings of the International Conference on Generalized Functions (ICGF 2000, Guadeloupe)