English

A formalism for analyzing vacuum spacetimes

General Relativity and Quantum Cosmology 2009-10-27 v1

Abstract

The Einstein vacuum equations in the formulation developed by Newman, Penrose [NP] and Friedrich [Fr] are expressed in terms of a Lie superbracket. Differential identities are derived from the super Jacobi identity. This perspective clarifies the covariance properties of the equations. The equations are intended as a tool for the analytic study of vacuum spacetimes.

Keywords

Cite

@article{arxiv.0910.4666,
  title  = {A formalism for analyzing vacuum spacetimes},
  author = {Michael Reiterer and Eugene Trubowitz},
  journal= {arXiv preprint arXiv:0910.4666},
  year   = {2009}
}

Comments

22 pages

R2 v1 2026-06-21T14:02:53.949Z