Limits of the energy-momentum tensor in general relativity

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.

LaTeX, 21 pages

References in corpus (3)

• On limits of spacetimes -- a coordinate-free approach
• On the limits of Brans-Dicke spacetimes: a coordinate-free approach
• Classification of Second Order Symmetric Tensors in 5-Dimensional Kaluza-Klein-Type Theories

Cited by in corpus (6)

• The Levi-Civita spacetime as a limiting case of the Gamma spacetime
• G_2 cosmological models separable in non-comoving coordinates
• Segre decomposition of spacetimes
• An inverse approach to Einstein's equations for non-conducting fluids
• Limits of space-times in five dimensions and their relation to the Segre Types
• Schouten-Codazzi Gravity