Covariance and meaning

Details Covariance and meaning Covariance and meaning

2007-11-20

arxiv.org/abs/0711.3110v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Corrected typos, Changed example

Scientific paper

Several other factors, besides the intrinsic local geometry, contribute to give a meaning to a space-time model. The simplest example comes from comparing Minkowski's and Milne's model, that both have a null Riemann tensor. We add to these two models a third one which describes a time-dependent locally-Minkowskian spherically symmetric space-time on which every test-particle at rest with respect to the center of symmetry sustains a constant force. Although the model is globally grossly un-realistic we think that it can be helpful to describe a local perturbation of an homogeneous cosmological model. Or as a substitute to the very far away asymptotic Minkowskian behavior usually assumed to describe the gravitational field of compact spherical bodies.

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