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Artikel
Complex angular momentum approach to black hole scattering.
| Författare: |
Andersson, N.-G., Thylwe, K.-E. |
| Dokumenttyp: |
Artikel |
| Tillstånd: |
Publicerad |
| Tidskrift: |
Class. Quantum Grav. |
| Volym: |
11
2991-3001 |
| År: |
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 so-called Regge poles. It is proved that all the relevant Regge poles (the singularities of the S-matrix) must be situated in the first quadrant of the complex lambda (=l+ 1/2 )-plane. We also show that the S-matrix 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.
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