Abstract:The effect of the angular momentum density of a gravitational source on the times of flight of light rays in an interferometer is analyzed. The calculation is made imagining that the interferometer is at the equator of an axisymmetric steadily rotating gravity source. In order to evaluate the size of the effect in the case of the Earth a weak field approximation for the metric elements is introduced. For laboratory scales and non-geodesic paths the correction due to the angular momentum turns out to be compara… Show more
“…Several Earth-based laboratory experiments aimed to test the influence of the "intrinsic" terrestrial GM field on classical and quantum objects and electromagnetic waves have been proposed so far (Braginsky et al 1977(Braginsky et al , 1984Cerdonio et al 1988;Ljubičić and Logan 1992;Camacho and Ahluwalia 2001;Tartaglia and Ruggiero 2002;Iorio 2003a;Stedman et al 2003;Iorio 2006a), but they have never been implemented because of several technological difficulties in meeting the stringent requirements in terms of sensitivity and/or accuracy.…”
Recent years have seen increasing efforts to directly measure some aspects of the general relativistic gravitomagnetic interaction in several astronomical scenarios in the solar system. After briefly overviewing the concept of gravitomagnetism from a theoretical point of view, we review the performed or proposed attempts to detect the Lense-Thirring effect affecting the orbital motions of natural and artificial bodies in the gravitational fields of the Sun, Earth, Mars and Jupiter. In particular, we will focus on the evaluation of the impact of several sources of systematic uncertainties of dynamical origin to realistically elucidate the present and future perspectives in directly measuring such an elusive relativistic effect.
“…Several Earth-based laboratory experiments aimed to test the influence of the "intrinsic" terrestrial GM field on classical and quantum objects and electromagnetic waves have been proposed so far (Braginsky et al 1977(Braginsky et al , 1984Cerdonio et al 1988;Ljubičić and Logan 1992;Camacho and Ahluwalia 2001;Tartaglia and Ruggiero 2002;Iorio 2003a;Stedman et al 2003;Iorio 2006a), but they have never been implemented because of several technological difficulties in meeting the stringent requirements in terms of sensitivity and/or accuracy.…”
Recent years have seen increasing efforts to directly measure some aspects of the general relativistic gravitomagnetic interaction in several astronomical scenarios in the solar system. After briefly overviewing the concept of gravitomagnetism from a theoretical point of view, we review the performed or proposed attempts to detect the Lense-Thirring effect affecting the orbital motions of natural and artificial bodies in the gravitational fields of the Sun, Earth, Mars and Jupiter. In particular, we will focus on the evaluation of the impact of several sources of systematic uncertainties of dynamical origin to realistically elucidate the present and future perspectives in directly measuring such an elusive relativistic effect.
“…The corresponding gravitomagnetic effect is about two million times smaller and can be completely neglected at present. Other very small angular momentum effects in laboratory-based optical interferometry experiments have been studied in [13], [14].…”
We study the gravitational time delay in ray propagation due to rotating masses in the linear approximation of general relativity. Simple expressions are given for the gravitomagnetic time delay that occurs when rays of radiation cross a slowly rotating shell, equation (14), and propagate in the field of a distant rotating source, equation (16). Moreover, we calculate the local gravitational time delay in the Gödel universe. The observational consequences of these results in the case of weak gravitational lensing are discussed.
“…Over the years, several research groups have proposed many laboratory experiments to measure the Earth's gravitomagnetic field [6,7,9,59,8,78,75,28,27,5]. To date, none has been yet implemented.…”
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