Prog. Theor. Phys. Vol. 54 No. 6 (1975) pp. 1872-1878
Einstein's Theory of Relativity and Mach's Principle
Department of Physics, University of Tokyo, Tokyo 113
Department of Physics, Faculty of General Education, Kogakuin University, Shinjuku, Tokyo 160
*Department of Mathematical Physics, College of Technology, Seikei University, Musashino, Tokyo 180
**Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725
***Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 118
(Received January 10, 1975)
The equations of motion of a test particle near the center of a rotating spherical shell with the mass M and the radius R are investigated in the framework of Einstein's theory of relativity up to the post-post-Newtonian order of approximation.
Among the forces acting on the test particle, the Coriolis and the centrifugal forces appear. In order that Mach's thought about rotation is realized, two conditions on M/R must be imposed. It is shown that these two conditions are not consistent with each other.
DOI : 10.1143/PTP.54.1872
- H. Okamura, T. Ohta, T. Kimura and K. Hiida, INS-Report-222.
- H. Thirring, Physik. Z. 19 (1918), 33; ibid. 22 (1922), 29.
- E. Mach, Die Mechanik in ihrer Entwicklung (Verlag F. A. Brockhaus, Wiesbaden, 1933), Chap II, §6.
- T. Ohta, H. Okamura, T. Kimura and K. Hiida, Prog. Theor. Phys. 50 (1973), 492[PTP]; ibid. 51 (1974), 1958[PTP].
T. Ohta, T. Kumura and K. Hiida, Nuovo Cim. B 27 (1975), 103.
Citing Article(s) :
Progress of Theoretical Physics Vol. 60 No. 4 (1978) pp. 1204-1222
Relativity of Inertial Forces