which M do you mean ? ... the one that appears in Schwarzschild metric (1-2m/r ,geometric mass ) or the one that appears in the Newtonian gravitational potential ( the active gravitational mass ) ?...
you should consider the weak-field limit ...
g00=1+2phi/(c^2)+...
where phi is the Newtonian gravitational potential ...
when M(mass) goes to zero then g00 goes to one and the metric would be Minkowski metric ...
yes I know ... my question is whether we can use Lorentz transformations (in the same form as they are locally in SR ) in constant-linear-acceleration frames or nor ?, if yes how ?...
I've read a few papers about derivation of the Schwarzschild metric by using the equivalence principle ( http://cdsweb.cern.ch/record/1000100/files/0611104.pdf" )... but I couldn't understand them completely
they assume , According to Einstein’s equivalence principle, that the influence of...
that `s interesting but i think , this http://ocw.mit.edu/OcwWeb/Physics/8-01Physics-IFall1999/CourseHome/index.htm" is better because it contains video and note lectures by Professor Lewin ...