Summary
The formula for the gravitational bremsstrahlung in case of arbitrary central scattering potentials is given within the quadrupole approximation of Einstein’s linearized theory. As an example the Coulomb scattering and its application to a hydrogen plasma are treated exactly.
Riassunto
Si dà la formula per il bremsstrahlung in caso di potenziali di scattering centrali arbitrari nell’ambito dell’approssimazione della teoria linearizzata di Einstein. Si trattano esattamente, come esempio, lo scattering di Coulomb e la sua applicazione al plasma d’idrogene.
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Beside normal stars also globular clusters can be considered as such objects.
A quantum-mechanical approach to the gravitational-radiation emission is treatede.g. byG. Schäfer andH. Dehnen:J. Phys. A,13, 2703 (1980);14, 2359 (1981).
M. Carmeli:Phys. Rev. B,158, 1243 (1967); the result ofM. Carmeli is different from (3.7) only by a factor which results from the use of average values in Carmeli’s paper.
S. Weinberg:Phys. Rev. B,140, 516 (1965); see alsoGravitation and Cosmology (Wiley, New York, N. Y., 1972), p. 265.
See,e.g.,L. D. Landau andE. M. Lifshitz:Klassische Feldtheorie (Akad. Verl. Berlin, 1964), p. 357.
Such a calculation has been preformed byD. V. Galtsov andYu. V. Grats:Sov. Phys. J.,17, 1713 (1974). Another scattering case, in which a quantum-mechanical description of gravitational radiation emission is necessary, is discussed byG. Schäfer andH. Dehnen:Phys. Rev. D,27, 2864 (1983).
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Dehnen, H., Ghaboussi, F. Gravitational bremsstrahlung in case of central forces. Nuov Cim B 89, 131–138 (1985). https://doi.org/10.1007/BF02723542
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DOI: https://doi.org/10.1007/BF02723542