English

A geometric framework for conservation laws along null hypersurfaces

General Relativity and Quantum Cosmology 2022-11-09 v1

Abstract

We use the general theory of local conservation laws for arbitrary partial differential equations to provide a geometric framework for conservation laws on characteristic null hypersurfaces. The operator of interest is the wave operator on general four-dimensional Lorentzian manifolds restricted on a null hypersurface.

Cite

@article{arxiv.2211.03849,
  title  = {A geometric framework for conservation laws along null hypersurfaces},
  author = {Eva Politou},
  journal= {arXiv preprint arXiv:2211.03849},
  year   = {2022}
}
R2 v1 2026-06-28T05:22:04.386Z