paper

Analysing the elasticity difference tensor of general relativity

arXiv:0706.2319 · doi:10.1007/s10714-008-0615-7

Abstract

The elasticity difference tensor, used in [1] to describe elasticity properties of a continuous medium filling a space-time, is here analysed from the point of view of the space-time connection. Principal directions associated with this tensor are compared with eigendirections of the material metric. Examples concerning spherically symmetric and axially symmetric space-times are then presented.

17 pages

Analysing the elasticity difference tensor of general relativity · wovepaper