The behaviour of an observer in rotatory motion, with respect to an inertial observer, is studied under special Relativity. It is found that the angular velocity depends on the distance from the rotation axis, contrary to the classic case. The most general space-time transformations between the considered observers are established.
Referenze Bibliografiche
[1] Cfr.
B. FINZI e
M. PASTORI,
Calcolo tensoriale e Applicazioni, Bologna
1961, p. 437. |
MR 28652[2]
J. L. SYNGE,
Relativity: The General Theory, Amsterdam
1960, p. 172. |
MR 118457[3] E. HILL, A note on rotational motion in Relativity Theory, «Phys. Rev.», 69, 488 (1946).
[4]
N. ROSEN,
Note on the problem of uniform rotation, «
Phys. Rev.»,
70, 93 (
1946). |
MR 17601[6] Cfr.: ALBA ANDRADE FERNANDO, Gravitational fields of rotating bodies, «Bol. Soc. Mat. Mexicana», 2, 57 (1945); O. COSTA DE BEAUREGARD, La theorie de la Relatività restreinte, 1949, p. 45; G. FERRARESE, Sul campo gravitazionale einsteiniano generato da una massa sferica ruotante, «Rend. Acc. Naz. dei Lincei», 32, 658 (1962); V. FOCK, The Theory of space time and gravitation, Oxford 1964, p. 119; M. GALLI, Le deformazioni relativistiche di un cilindro ruotante, «Rend. Acc. Naz. dei Lincei», 12, 86 e 569 (1952); C. MÖLLER, The Theory of Relativity, Oxford 1952, p. 223; M. THIRRING, Über die Wirkung rotierender fermer Massen in der Einsteinshen Gravitationtheorie, «Phys. Zs.», 19, 33 (1918); Idem, 22, 29 (1921); M. A. TONNELAT, Les principes de la théorie electromagnétique et de la Relatività, Paris 1959, p. 268.
[7] Cfr.
G. MURPHY,
Ordinary Differential Equations and Their Solutions, New York
1960, pp. 15 sgg. |
MR 114953[8] Cfr. W. PAULI, Teoria della Relatività, Trad. It. di P. GULMANELLI, Torino 1958, p. 98.