Summary
A general expression for the energy-momentum tensor of a system ofN interacting relativistic particles is obtained. In order to get this result, we analyse a particular model by constructing a coupling to an external gravitational field. The result obtained in this way is then generalized to an arbitrary situation. By studying the singularities of the energy-momentum tensor it is possible to get a clear understanding of the physics underlying the action-at-a-distance models.
Riassunto
Si ricava un'espressione generale per il tensore energia-impulso di un sistema diN particelle relativistiche interagenti. Al fine di ottenere tale risultato, si analizza un modello particolare costruendo il suo accoppiamento ad un campo gravitazionale esterno. Il risultato così ottenuto è quindi generalizzato ad una situazione arbitraria. Dallo studio delle singolarità del tensore energia-impulso si può ottenere una chiara comprensione della fisica che sta alla base dei modelli con azione a distanza.
Резюме
Получено общее выражение для тензора энергии-импульса системыN взаимодействующих релятивистских частиц. Чтобы получить этот результат, мы анализируем специальную модель, которая конструирует связь с внешним гравитационным полем. Полученный таким образом результат затем обобщается для произвольной ситуации. Исследуя сингулярность тензора энергии-импульса, можно получить ясное понимание физики, лежащей в основе моделей действия на расстоянии.
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References
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Barducci, A., Casalbuoni, R. & Lusanna, L. Energy-momentum tensor of extended relativistic systems. Nuov Cim A 54, 340–360 (1979). https://doi.org/10.1007/BF02770009
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DOI: https://doi.org/10.1007/BF02770009