- #1
itssilva
- 55
- 0
Hi. This is my first post here in PF ( :) ). I've been reading some threads on "passive" versus "active" diffeomorphisms, and I wondered: what is the physical motivation for having GR be diffeomorphic invariant? Sure, this allows us to have solutions to Einstein's equations (EFE) up to diffeomorphism (pick one and obtain another by "pushing forward" along the morphism), but, as far as I know (and may be incorrect, please feel free to comment on inadequacies), relativistic equations are only required to be invariant under some representation of the Poincaré group P, which is, itself, a subset of GL(4, R), the set of matrix representations of all possible real linear transformations in 4-space; why not simply restrict ourselves to morphisms associated to P?