Is it possible to eliminate Gravity completely even locally as equivalence principal says? I think this is not possible,since in a curved spacetime, Riemann tensor cann't be made zero in any frame. Then in what sense equivalence principal(which says that for a freely falling observer in a gravity field, laws of physics hold locally) is valid? To me it seems that it is more of a order of magnitude business. Upto the order one cann't distinguish gravity from acceleration, laws of physics will hold upto that order. the statement of equality of inertial and gravitational mass is, I think okey. But the alternative statement of equivalence principal (laws holding good locally in freely falling frame due to indistinguishable nature of gravity and acceleration) is not making sense to me? what are your opinians?