English

Limits of the energy-momentum tensor in general relativity

General Relativity and Quantum Cosmology 2008-11-26 v1 Astrophysics

Abstract

A limiting diagram for the Segre classification of the energy-momentum tensor is obtained and discussed in connection with a Penrose specialization diagram for the Segre types. A generalization of the coordinate-free approach to limits of Paiva et al. to include non-vacuum space-times is made. Geroch's work on limits of space-times is also extended. The same argument also justifies part of the procedure for classification of a given spacetime using Cartan scalars.

Keywords

Cite

@article{arxiv.gr-qc/9708045,
  title  = {Limits of the energy-momentum tensor in general relativity},
  author = {Filipe M. Paiva and Marcelo J. Reboucas and Graham S. Hall and Malcolm A. H. MacCallum},
  journal= {arXiv preprint arXiv:gr-qc/9708045},
  year   = {2008}
}

Comments

LaTeX, 21 pages