From continuum mechanics to general relativity
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 nonstandard spacetime symmetries.
- Publication:
-
International Journal of Modern Physics D
- Pub Date:
- October 2014
- DOI:
- 10.1142/S0218271814420152
- arXiv:
- arXiv:1405.4728
- Bibcode:
- 2014IJMPD..2342015B
- Keywords:
-
- General relativity;
- continuum mechanics;
- space-time symmetries;
- General Relativity and Quantum Cosmology;
- Mathematical Physics
- E-Print:
- 7 pages, this essay received a honorable mention in the 2014 essay competition of the Gravity Research Foundation