English

Einstein spacetimes with weak regularity

General Relativity and Quantum Cosmology 2011-08-09 v2 Analysis of PDEs Differential Geometry

Abstract

We review recent work on the Einstein equations of general relativity when the curvature is defined in a weak sense. Weakly regular spacetimes are constructed, in which impulsive gravitational waves, as well as shock waves, propagate.

Keywords

Cite

@article{arxiv.1009.1884,
  title  = {Einstein spacetimes with weak regularity},
  author = {Philippe G. LeFloch},
  journal= {arXiv preprint arXiv:1009.1884},
  year   = {2011}
}

Comments

15 pages

R2 v1 2026-06-21T16:12:00.871Z