From continuum mechanics to general relativity
General Relativity and Quantum Cosmology
2015-01-28 v1 Mathematical Physics
math.MP
Abstract
Using ideas from continuum mechanics we construct a theory of gravity. We show that this theory is equivalent to Einstein's theory of general relativity; it is also a much faster way of reaching general relativity than the conventional route. Our approach is simple and natural: we form a very general model and then apply two physical assumptions supported by experimental evidence. This easily reduces our construction to a model equivalent to general relativity. Finally, we suggest a simple way of modifying our theory to investigate non-standard space-time symmetries.
Cite
@article{arxiv.1405.4728,
title = {From continuum mechanics to general relativity},
author = {Christian G. Boehmer and Robert J. Downes},
journal= {arXiv preprint arXiv:1405.4728},
year = {2015}
}
Comments
7 pages, this essay received a honorable mention in the 2014 essay competition of the Gravity Research Foundation