Summary
The synchronous and the asynchronous descriptions of a rod with rigid hyperbolic motion are compared. It is shown that the covariant description, emploging the energy-momentum four-vector, has an asynchronous character. The conclusion is that, in describing extended systems moving not too far from rigidly, the asynchronous formulation is more adequate than the synchronous formulation.
Riassunto
Si confrontano le descrizioni sincrona ed asincrona di una barra in moto rigido iperbolico. Si dimostra che la descrizione covariante, che fa uso del quadrivettore energia-impulso, ha un carattere asincrono. La conclusione è che, nel descrivere sistemi estesi in cui il moto non è molto diverso da quello rigido, la formulazione asincrona è più adeguata di quella sincrona.
Резюме
Проводится сравнение синхронного и асинхронного описаний стержня в случае недеформируемого, гиперболического движения. Показывается, что ковариантное описание имеет асинхронный характер. Утверждается, что при описании протяженных систем, движущихся почти без деформаций, асинхронная формулировка является более адекватной, чем синхронная формулировка.
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Supported by Fysisk Institutt, Teorigruppen, University of Oslo, Oslo.
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Grøn, Ø. Description of a rod with rigid, hyperbolic motion in the synchronous and the asyncronous formulation of relativistic dynamics. Nuov Cim B 30, 313–324 (1975). https://doi.org/10.1007/BF02725705
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DOI: https://doi.org/10.1007/BF02725705