This book investigates the propagation of waves in the presence of black holes. Astrophysical black holes may eventually be probed by these techniques. The authors emphasise intuitive physical thinking in their treatment of the techniques of analysis of scattering, but alternate this with chapters on the rigourous mathematical development of the subject. High and low energy limiting cases are treated extensively and semi-classical results are also obtained. The analogy between Newtonian gravitational scattering and Coulomb quantum mechanical scattering is fully exploited. The book introduces the concepts of scattering by considering the simplest, scalar wave case of scattering by a spherical black hole. It then develops the formalism of spin-weighted spheroidal harmonics and of plane wave representations for neutrino, electromagnetic and gravitational scattering. Research workers and graduate and advanced undergraduate students in scattering theory, wave propagation and relativity will find this a comprehensive treatment of the topic.
|Publisher:||Cambridge University Press|
|Series:||Cambridge Monographs on Mathematical Physics Series|
|Edition description:||New Edition|
|Product dimensions:||6.00(w) x 8.90(h) x 0.70(d)|
About the Author
J. A. H. Futterman is a physicist at Lawrence Livermore National Laboratory.
Table of Contents
Foreword; 1. Introduction; 2. Perturbations of black hole spacetimes; 3. Integral spin plane waves in black hole; 4. Neutrino plane waves; 5. Scattering; 6. Limiting cross sections; 7. Computation of cross sections; 8. Absorption, phase shifts and cross sections for gravitational waves; 9. Conclusion; Appendices; References; Index.