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Geodesic synchrotron radiation in the Kerr geometry by the method of asymptotically factorized Green's functionsThe scalar, electromagnetic, and gravitational geodesic-synchrotron-radiation (GSR) spectra are determined for the case of a test particle moving on a highly relativistic circular orbit about a rotating (Kerr) black hole. It is found that the spectral shape depends only weakly on the value of the angular-momentum parameter (a/M) of the black hole, but the total radiated power drops unexpectedly for a value of at least 0.95 and vanishes as the value approaches unity. A spin-dependent factor (involving the inner product of the polarization of a radiated quantum with the source) is isolated to explain the dependence of the spectral shape on the spin of the radiated field. Although the scalar wave equation is solved by separation of variables, this procedure is avoided for the vector and tensor cases by postulating a sum-over-states expansion for the Green's function similar to that found to hold in the scalar case. The terms in this sum, significant for GSR, can then be evaluated in the geometric-optics approximation without requiring the use of vector or tensor spherical harmonics.
Document ID
19750063201
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Chrzanowski, P. L.
Misner, C. W.
(Maryland, University College Park, Md., United States)
Date Acquired
August 8, 2013
Publication Date
September 15, 1974
Publication Information
Publication: Physical Review D - Particles and Fields
Subject Category
Astrophysics
Accession Number
75A47273
Funding Number(s)
CONTRACT_GRANT: NGR-21-002-010
CONTRACT_GRANT: NSF GP-25548
CONTRACT_GRANT: NSF GP-34022X
Distribution Limits
Public
Copyright
Other

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