The static spacetime relative acceleration for the general free fall and its possible experimental test

Details The static spacetime relative acceleration for the general free fall and its possible experimental test The static spacetime relative acceleration for the general free fall and its possible experimental test

1998-03-17

arxiv.org/abs/gr-qc/9803060v1

Class.Quant.Grav.15:1557,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in Classical and Quantum Gravity, 15 pages, Latex

Scientific paper

10.1088/0264-9381/15/6/012

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 the general free fall, indicating its canonical representation with its 3-space cinematical content. Then we obtain the relation between this representation and the very known expression for the 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 here established covariant result and, therefore, can also verify Mishra's formula. This possibility of experimental verification, besides its intrinsic importance, can answer a recent inquire by Vigier, related to his recent proposal of derivation of inertial forces.

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