| dc.description.abstract | Mishra has recently established, using a generic static metric, the relative local
proper time 3-acceleration of a test particle in one-dimensional free fall relative to a
static reference frame in any static spacetime. In this paper, on the grounds of gravitoelectromagnetism
we establish, in a covariant spacetime form, the relative 4-acceleration for
general free fall, indicating its canonical representation with its 3-space kinematic content. Then
we obtain the relation between this representation and the very well known expression for
relative free-fall acceleration in Fermi coordinates. Taking this into account, it is shown that
an experiment with relativistic beams in a circular accelerator, modelled by Fermi coordinates,
recently proposed by Moliner et al, can test the covariant result established here, and, therefore,
can also verify Mishra’s formula. This possibility of experimental verification, besides its
intrinsic importance, can answer a recent question by Vigier, related to his recent proposal of
derivation of inertial forces. | |
