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Il Nuovo Cimento (1955-1965)

, Volume 15, Issue 3, pp 351–369 | Cite as

Gravitational radiation

  • A. Peres
Article

Summary

A method is established to solve the Einstein equations for a system of freely gravitating pole particles, by successive approximations. It is shown how one can choose the solution that represents purely outgoing waves. It is then found that the fifth order correction to the acceleration involves a non-conservative term: energy is lost, by gravitational radiation, in an amount exactly equal to that predicted by the linearized theory. This can also be shown by directly computing the loss of mass of the system. We then turn to examine the validity of the linearized theory: it is shown that it cannot correctly describe the field at very large distances from the sources, but nevertheless it gives the right result for the radiated energy.

Riassunto

Si espone un metodo ad approssimazioni successive per risolvere le equazioni di Einstein per un sistema di particelle polari che gravitano liberamente. Si dimostra che si può scegliere la soluzione che rappresenta soltanto onde uscenti. Si trova che la correzione di 5o ordine all’accelerazione comporta un termine non conservativo: l’energia si perde, per radiazione gravitazionale, in quantità esattamente uguale a quella predetta della teoria linearizzata. Questo può essere dimostrato calcolando la perdita di massa del sistema. Poi si passa ad esaminare la validità della teoria linearizzata: si dimostra che non può descrivere correttamente il campo a distanze molto grandi dall’origine, ma ciononostante da un risultato corretto per l’energia irradiata.

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Copyright information

© Società Italiana di Fisica 1960

Authors and Affiliations

  • A. Peres
    • 1
  1. 1.Department of PhysicsIsrael Istitute of TechnologyHaifa

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