Redshifts and Killing Vectors

Details Redshifts and Killing Vectors Redshifts and Killing Vectors

2005-08-31

arxiv.org/abs/gr-qc/0508125v1

Am.J.Phys.74:1017-1024,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 Latex pages, 6 postscript figures, submitted to Am. J. Phys

Scientific paper

10.1119/1.2338544

Courses in introductory special and general relativity have increasingly become part of the curriculum for upper-level undergraduate physics majors and master's degree candidates. One of the topics rarely discussed is symmetry, particularly in the theory of general relativity. The principal tool for its study is the Killing vector. We provide an elementary introduction to the concept of a Killing vector field, its properties, and as an example of its utility apply these ideas to the rigorous determination of gravitational and cosmological redshifts.

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