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Radiation fields in the Schwarzschild background

Bardeen, James M. and Press, William H. (1973) Radiation fields in the Schwarzschild background. Journal of Mathematical Physics, 14 (1). pp. 7-19. ISSN 0022-2488. doi:10.1063/1.1666175.

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Scalar, electromagnetic, and gravitational test fields in the Schwarzschild background are examined with the help of the general retarded solution of a single master wave equation. The solution for each multipole is generated by a single arbitrary function of retarded time, the retarded multipole moment. We impose only those restrictions on the time dependence of the multipole moment which are required for physical regularity. We find physically well-behaved solutions which (i) do not satisfy the Penrose peeling theorems at past null infinity and/or (ii) do not have well-defined Newman-Penrose quantities. Even when the NP quantities exist, they are not measurable; they represent an "average" multipole moment over the infinite past, and their conservation is essentially trivial.

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Additional Information:© 1973 The American Institute of Physics. Received 29 March 1972; revised 16 August 1972. We thank Kip Thorne and Richard Price for introducing us to this problem and for many helpful discussions. This work was begun while one of us (J.M.B.) was visiting Caltech as a Senior Research Associate in the spring of 1971. Supported in part by the National Science Foundation (GP-15267) at the University of Washington and (GP-27304, GP-28027) at the California Institute of Technology. [W.H.P. was a] Fannie and John Hertz Foundation Fellow.
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National Science FoundationGP-15267
National Science FoundationGP-27304
National Science FoundationGP-28027
Fannie and John Hertz FoundationUNSPECIFIED
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Record Number:CaltechAUTHORS:BARjmp73
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Deposited On:09 Oct 2008 04:50
Last Modified:08 Nov 2021 22:22

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