Conformal Geodesics on Vacuum Space-times

2002/01/03 by Helmut Friedrich · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Conformal gravity #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Degeneracy (biology) #Geodesic #Geometry #Infinity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Primary field #Product (mathematics) #Pure mathematics #Space (punctuation) #gr-qc

paper · pdf · doi:10.1007/s00220-003-0794-8

published as Commun.Math.Phys. 235 (2003) 513-543

arxiv created 2002/01/03 · openalex publication_date 2003/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss properties of conformal geodesics on general, vacuum, and warped product space-times and derive a system of conformal deviation equations. The results are used to show how to construct on the Schwarzschild-Kruskal space-time global conformal Gauss coordinates which extends smoothly and without degeneracy to future and past null infinity.

Citations

• Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations: III. On the determination of radiation

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