From continuum mechanics to general relativity

Christian G. Böhmer, Robert J. Downes
2014 International Journal of Modern Physics D  
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
more » ... f modifying our theory to investigate non-standard space-time symmetries.
doi:10.1142/s0218271814420152 fatcat:idqmrf2jsvbltmhb7pg4t4vyjm