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The Lense-Thirring effect exposed as anti-Machian. (English) Zbl 0941.83504

Summary: It is shown that the direction of the Lense-Thirring precession of a gyrocompass at rest in the equatorial plane of a rotating spherical mass is opposite to that predicted by Mach’s principle. The validity of Mach’s principle is thereby challenged.

MSC:

83C10 Equations of motion in general relativity and gravitational theory
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References:

[1] Mach, E., The science of mechanics (1893), Open Court Publishing Co, [translated by T.J. McCormack] · JFM 25.1331.03
[2] Thirring, H.; Lense, J., Phys. Z., 19, 156 (1918)
[3] Rindler, W., Essential relativity, ((1977), Springer: Springer Berlin), 192 · Zbl 0198.31102
[4] Rindler, W.; Perlick, V., Gen. Rel. Grav., 22, 1067 (1990), Eq. (39)
[5] Ehlers, J.; Rindler, W., Phys. Rev. D, 4, 3543 (1971)
[6] Thirring, H., Phys. Z., 19, 33 (1918)
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