The forces outside the static limit in the rotating frame
DOI:
https://doi.org/10.33910/2687-153X-2022-3-3-117-121Keywords:
rotating frame, static limit, inertial force, geodesic, Minkowski spacetimeAbstract
This paper focuses on the rotating frame of the Minkowski spacetime to describe the inertial forces outside the static limit. We consider the inertial forces inside the static limit to find the classical analogue. Then, we find out the expressions for these forces outside the static limit where we cannot consider the limit c/ν→0. We show that, generaly, if the angular velocity of the object Ω is equal to the angular momentum ω, then the acceleration is equal to zero. When ω ≠ Ω, we show that ω − Ω is a decreasing function of r.
References
Grib, A. A., Pavlov, Y. V. (2011) Particles with negative energies in black holes. International Journal of Modern Physics D, 20 (05), 675–684. https://doi.org/10.1142/S0218271811019013 (In English)
Grib, A. A., Pavlov, Y. V., Vertogradov, V. D. (2014) Geodesics with negative energy in the ergosphere of rotating black holes. Modern Physics Letters A, 29 (20), article 1450110. https://doi.org/10.1142/S0217732314501107 (In English)
Grib, A. A., Pavlov, Yu. V. (2019) Static limit and Penrose effect in rotating reference frames. Theoretical and Mathematical Physics, 200 (2), 1117–1125. https://doi.org/10.1134/S004057791908004X (In English)
Landau, L. D., Lifshitz, E. M. (1980) Course of theoretical physics series. Vol. 2. The classical theory of fields. 4th ed. Oxford: Butterworth-Heinemann Publ., 444 p. (In English)
Vertogradov, V. D. (2015) Geodesics for particles with negative energy in Kerr’s metric. Gravitation and Cosmology, 21 (2), 171–174. https://doi.org/10.1134/S0202289315020115 (In English)
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Copyright (c) 2022 Andrey A. Grib, Vitalii D. Vertogradov, Ivan E. Fedorov
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