Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..783l&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Aug. 1985, p. 783-798.
Astronomy and Astrophysics
Astronomy
7
Black Holes (Astronomy), Electrostatics, Field Theory (Physics), Gravitation Theory, Schwarzschild Metric, Space-Time Functions, Charged Particles, Mass Distribution, Multipolar Fields, Particle Interactions, Point Sources, Reissner-Nordstrom Solution, Self Excitation, Vector Spaces
Scientific paper
Using a multipole expansion, a formal determination is made of the massive vector field generated by a point source held fixed in the Schwarzschild space-time. It is proved that its limit, when the mass of the Proca field goes to zero, does not tend to the corresponding massless vector field. In this limit, the expression of the self-force acting on the particle is evaluated. The result is in accordance with that of Vilenkin (without the assumption that the point source is at a large distance from the horizon) that is extended to the case of a Reissner-Nordstrom space-time. A further case is also investigated: a point source within a spherical shell of matter for which the Proca field tends to the corresponding massless vector field.
Leaute B.
Linet Bernard
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