The red‐shift effect and radiation decay on black hole spacetimes

DOI10.1002/cpa.20281zbMath1169.83008arXivgr-qc/0512119OpenAlexW2017071204MaRDI QIDQ3636922

Publication date: 30 June 2009

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0512119

zbMATH Keywords

Eddington-Finkelstein coordinates

Mathematics Subject Classification ID

Black holes (83C57) Equations of motion in general relativity and gravitational theory (83C10) Radiative transfer in astronomy and astrophysics (85A25)

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Cites Work