

Article
Complex angular momentum approach to black hole scattering.
Authors: 
Andersson, N.G., Thylwe, K.E. 
Document Type: 
Article 
Pubstate: 
Published 
Journal: 
Class. Quantum Grav. 
Volume: 
11
29913001 
Year: 
1994 
AbstractA description of scalar waves scattered off a Schwarzschild black hole is discussed in terms of complex angular momenta. In the new picture the scattering amplitude is split into a supposedly smooth background integral and a sum over the socalled Regge poles. It is proved that all the relevant Regge poles (the singularities of the Smatrix) must be situated in the first quadrant of the complex lambda (=l+ 1/2 )plane. We also show that the Smatrix possesses a global symmetry relation S( lambda )=e/sup 2i pi lambda / S( lambda ), which makes it possible to simplify considerably the background integral. Finally, a formal basis for actual computations of Regge poles and the associated residues is outlined.

