Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34.1680p&link_type=abstract
Physical Review D (Particles and Fields), Volume 34, Issue 6, 15 September 1986, pp.1680-1699
Astronomy and Astrophysics
Astrophysics
7
Exact Solutions, Relativity And Gravitation, Black Holes
Scientific paper
This paper is an investigation of quantum wave propagation near the event horizon of an astrophysical black hole. Solutions of the wave equations for Dirac and electromagnetic quanta are determined near the horizon with more accuracy than can be found in previously existing literature. For these black holes, the study reveals that the separation constant squared of the Dirac equation is approximately Carter's fourth constant of motion in positive-definite form. This is also the value of the separation constant of the electromagnetic equation. An explicit calculation of causal propagators reveals that there are no global effects that alter the local structure of quantum propagation. A framework for computing quantum-electrodynamical scattering on the Kerr background is outlined using the methods that are developed in this article.
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