Electric Redshift in Jordan and Einstein Frames

Mathematics – Logic

Scientific paper

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Scientific paper

Three well-known mechanisms for redshift are the Doppler redshift due to the object's motion, the Einstein gravitational redshift due to the object's gravity and the cosmological redshift due to the expansion of the universe. Recently, a new redshift mechanism, called the electric redshift [1] was proposed which is due to the object's electric charge in accord with the five-dimensional (5D) fully covariant Kaluza-Klein (K-K) theory with a scalar field, that unifies the four-dimensional (4D) Einsteinian general relativity with the Maxwellian electromagnetic theory. The result indicated that a dense, massive and charged object can shift light emitted from an object towards the red end more significantly than that of Einsteinian gravitational redshift. A compact electrically charged object with density and mass comparable to that of a neutron star can impart redshift as great as that of quasars. This study converts the 5D K-K field solution from the Jordan frame to the Einstein frame. It is shown that for a neutral object, the K-K field solution in Einstein frame reduces to the Schwarzschild solution in case of weak field and thus agrees with the four tested predictions of Einstein's general relativity. The electric redshift in Einstein frame is generally lower than that in the Jordan frame, but if the charged compact object is supermassive, it can still be significant.
[1] The Astrophysical Journal, 636, L61-L64 (2006).

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