Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977gregr...8..227f&link_type=abstract
General Relativity and Gravitation, vol. 8, Apr. 1977, p. 227-243.
Astronomy and Astrophysics
Astronomy
2
Astronomical Models, Black Holes (Astronomy), Field Theory (Physics), Space-Time Functions, Curvature, Mass, Metric Space, Perturbation Theory, Relativity, Schwarzschild Metric
Scientific paper
Solutions are sought for any zero-rest-mass (ZRM) field of arbitrary spin equal to at least 3/2 in any algebraically special vacuum space-time background. By applying certain algebraic constraints, it is demonstrated that the algebraic speciality of the space-time strongly restricts the form of the solutions for a ZRM field. In particular, it is shown that nearly all ZRM fields with spin of at least 3/2 will vanish when the shear-free null-geodesic congruence of the algebraically special space-time is twist free and that all but two of the exceptions to this rule are just scalar multiples of the Weyl spinor itself. The results are applied to a Schwarzschild black hole, and Price's (1972) 'no-hair' results for higher-spin fields are considerably strengthened. It is concluded that there are no nonspherical radiatable multipoles of a ZRM field having a spin of at least 3/2.
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