Unified Description of Gravitation and Electromagnetism through a Symmetric Metric
نویسنده
چکیده
If gravitation and electromagnetism are both described in terms of a symmetric metric tensor, then the deflection of an electron beam by a charged sphere should be different from its deflection according to the Reissner-Nordstrøm solution of General Relativity. If such a unified description is true, the equivalence principle for the electric field implies that the photon has a nonzero effective electric charge-to mass ratio and should be redshifted as it moves in an electric field and be deflected in a magnetic field. Experiments to test these predictions are proposed. Of all the unification schemes for gravitation and electromagnetism suggested so far, the simplest is the one through a symmetric metric tensor gμν [1]. In this scheme gravitation and electromagnetism curve the spacetime in exactly the same way, as a result of which the interpretation of the metric tensor as the gravitational field proper must be given up. If this scheme of unified description does indeed correspond to reality, it must possess testable deviations from Einstein’s general relativity (hereafter GR) [2] as well as new physical phenomena. The purpose of this letter is, therefore, to propose experiments through which this new scheme can be tested. To this end, we shall discuss three topics and their experimental implications. I. The Line Element for a Spherically Symmetric Distribution of Matter and Charge: In Einstein’s GR theory, the gravitational field around a spherical distribution of mass M and charge Q located at r = 0 is described by the field equation R = 8πG c T μν EM , (1)
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