On reversal of centrifugal acceleration in special relativity

Дата и время публикации : 2009-03-05T21:29:32Z

Авторы публикации и институты :
Maxim Lyutikov (Purdue)

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: rejected by American Journal of Physics on the grounds that “metric, relativistic Hamilton-Jacobi theory, and Killing vectors [...] are not accessible to physicists from outside the specific subdiscipline”
Первичная категория: gr-qc

Все категории : gr-qc, astro-ph.HE

Краткий обзор статьи: The basic principles of General Theory of Relativity historically have been tested in gedanken experiments in rotating frame of references. One of the key issues, which still evokes a lot of controversy, is the centrifugal acceleration. Machabeli & Rogava (1994) argued that centrifugal acceleration reverse direction for particles moving radially with relativistic velocities within a "bead on a wire" approximation. We show that this result is frame-dependent and reflects a special relativistic dilution of time (as correctly argued by de Felice (1995)) and is analogous to freezing of motion on the black hole horizon as seen by a remote observer. It is a reversal of coordinate acceleration; there is no such effect as measured by a defined set of observers, e.g., proper and/or comoving. Frame-independent velocity of a "bead" with respect to stationary rotating observers increases and formally reaches the speed of light on the light cylinder. In general relativity, centrifugal force does reverse its direction at photon circular orbit, r=3M in Schwarzschild metric, as argued by Abramowicz (1990).

Category: Physics