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Scattering from Black Holes

Scattering from Black Holes

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"Scattering from Black Holes" by J. A. H. Futterman, F. A. Handler, Richard Alfred Matzner is a mathematics book and learning resource focused on Deep Sky & Solar System. Best for teachers, students, and readers looking for stronger mathematical understanding.

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.

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Best For: Researchers and students in astrophysics and theoretical physics focusing on black hole phenomena.
Focus: Wave propagation and scattering analysis in the context of black holes, combining physical intuition with rigorous mathematical methods.
Covers: Techniques for analyzing wave scattering by black holes, including high and low energy limits and semi-classical approaches.
Why It Matters: Understanding wave behavior near black holes is essential for interpreting astrophysical observations and advancing theoretical models in cosmology and space science.

"Scattering from Black Holes" by J. A. H. Futterman, F. A. Handler, Richard Alfred Matzner is a mathematics book and learning resource focused on Deep Sky & Solar System. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Deep Sky & Solar System

Author: J. A. H. Futterman, F. A. Handler, Richard Alfred Matzner

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorJ. A. H. Futterman, F. A. Handler, Richard Alfred Matzner
PublisherCambridge University Press
Published2009-06-11
ISBN-139780521112109
BindingPaperback
LanguageEnglish
SubjectsScience
TopicDeep Sky & Solar System
SeriesCambridge Monographs on Mathematical Physics

Format: Paperback

Language: English

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